commit julia du sale
This commit is contained in:
hschindler
parent
750efa2a80
commit
ba48cde99b
16 changed files with 202690 additions and 426 deletions
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{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Analyse non paramétrique du signal de la flute\n",
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"\n",
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"Nous allons commencer par afficher le signals\n",
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"\n",
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"/TODO mettre des labels X/Y avec unités et des titres à toutes les figure"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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"using WAV\n",
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"\n",
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"s, fs = wavread(\"../myson.wav\");\n",
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"s = vec(s);\n",
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"t = (0 : 1 : size(s)[1]-1)/fs;\n",
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"fs = floor(Int, fs);\n",
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"\n",
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"t_s = 10 #s\n",
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"trame_period = 0.005 #s\n",
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"\n",
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"floor_freq = 10 #Hz\n",
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"ceil_freq = 60 #Hz\n",
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"\n",
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"number_trame = 50 # trames on each side of t_s\n",
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"overlap = 0.0001;#s\n",
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"\n",
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"N_fft = 2^18- 1; #number points fft"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"using Plots\n",
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"plot(t, s, title=\"Son bizarre\",label=[\"Signal\"])"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Regardons des trames. La taille de trame reste classique : de l'ordre de 20ms.\n",
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"\n",
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"/TODO attention Gabor\n",
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"\n",
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"/TODO FFT avec gros nombre"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"#using LinearAlgebra\n",
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"\n",
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"#plot(t_trame, s_trame)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"using FFTW\n",
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"\n",
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"i_s = floor(Int, t_s*fs+1)\n",
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"i_e = floor(Int, i_s+trame_period*fs)\n",
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"t_trame = t[i_s:i_e]\n",
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"s_trame = s[i_s:i_e]\n",
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"\n",
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"# Fourier Transform of it \n",
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"s_pad = zeros(N_fft)\n",
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"s_pad[1:size(s_trame,1), 1:size(s_trame,2)]=s_trame\n",
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"F = fft(s_pad) |> fftshift\n",
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"freqs = fftfreq(N_fft, fs) |> fftshift\n",
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"\n",
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"# plots \n",
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"time_domain = plot(t_trame, s_trame, title = \"Signal\")\n",
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"freq_domain = plot(freqs, abs.(F), title = \"Spectrum\", xlim=(-1000, +1000)) \n",
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"plot(time_domain, freq_domain, layout = 2)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"i_s = floor(Int, t_s*fs-number_trame*trame_period*fs+1)\n",
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"i_e = floor(Int, i_s+2*number_trame*trame_period*fs)\n",
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"t_trame = t[i_s:i_e]\n",
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"s_trame = s[i_s:i_e]\n",
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"\n",
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"# Fourier Transform of it \n",
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"s_pad = zeros(N_fft)\n",
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"s_pad[1:size(s_trame,1), 1:size(s_trame,2)]=s_trame\n",
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"F = fft(s_pad) |> fftshift\n",
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"freqs = fftfreq(N_fft, fs) |> fftshift\n",
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"\n",
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"# plots \n",
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"time_domain = plot(t_trame, s_trame, title = \"Signal\")\n",
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"freq_domain = plot(freqs, abs.(F), title = \"Spectrum\", xlim=(-1000, +1000)) \n",
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"plot(time_domain, freq_domain, layout = 2)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"On cherche maintenant la fréquence du fondamental. Comme il s'agit d'un instrument à vent, on choisit notre interval de fréquence."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"using WORLD\n",
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"\n",
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"f0, timeaxis = harvest(s, fs, HarvestOption(floor_freq, ceil_freq, trame_period));#floor and ceil freq, period\n",
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"plot(timeaxis, f0)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"On observe des vibratos, par exemple un gros vibrato vers 5s, un \"fa\". La fréquence du son ne correspond pas exactement à la fréquence du fondamental. On a une modulation de fréquence.\n",
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"\n",
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"/TODO étudier cette modulation de fréquence\n",
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"\n",
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"Regardons un zoom sur un vibrato. \n",
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"\n",
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"/TODO fft du petit bout de signal"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"\n",
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"i_s = floor(Int, t_s*fs-number_trame*trame_period*fs+1)\n",
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"i_e = floor(Int, i_s+2*number_trame*trame_period*fs)\n",
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"t_trame = t[i_s:i_e]\n",
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"s_trame = s[i_s:i_e]\n",
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"\n",
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"f0, timeaxis = harvest(s_trame, fs, HarvestOption(floor_freq, ceil_freq, trame_period));#floor and ceil freq, period\n",
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"plot(timeaxis.+t_trame[1], f0)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"On va s'intéresser maintenant au spectrogramme.\n",
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"\n",
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"\\TODO On choisit une fenêtre XXXX car XXX"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"using DSP, PyPlot\n",
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"\n",
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"println(floor(Int, trame_period*fs), floor(Int, overlap*fs))\n",
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"S = spectrogram(s, floor(Int, trame_period*fs), floor(Int, overlap*fs); fs=fs, window=hanning)\n",
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"t = time(S)\n",
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"f = freq(S)\n",
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"imshow(reverse(log10.(power(S)), dims=1), extent=[first(t), last(t), first(f), last(f)], aspect=\"auto\")"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Zoom sur notre vibrato que l'on voit un peu"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"S = spectrogram(s_trame, floor(Int, trame_period*fs), floor(Int, overlap*fs); fs=fs, window=hanning)\n",
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"t = time(S)\n",
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"f = freq(S)\n",
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"imshow(reverse(log10.(power(S)), dims=1), extent=[first(t).+t_trame[1], last(t).+t_trame[1], first(f), last(f)], aspect=\"auto\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": []
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": []
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": []
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Julia 1.2.0",
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"language": "julia",
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"name": "julia-1.2"
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},
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"language_info": {
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"file_extension": ".jl",
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.2.0"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 4
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}
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247
rossignol/nonParametrique/Analyse-Non-Param-MySon.ipynb
Normal file
247
rossignol/nonParametrique/Analyse-Non-Param-MySon.ipynb
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@ -0,0 +1,247 @@
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{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Analyse non paramétrique du signal de la flute\n",
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"\n",
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"Nous allons commencer par afficher le signals\n",
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"\n",
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"/TODO mettre des labels X/Y avec unités et des titres à toutes les figure"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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"using WAV\n",
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"\n",
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"s, fs = wavread(\"../myson.wav\");\n",
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"s = vec(s);\n",
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"t = (0 : 1 : size(s)[1]-1)/fs;\n",
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"fs = floor(Int, fs);\n",
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"\n",
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"t_s = 10 #s\n",
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"trame_period = 0.005 #s\n",
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"\n",
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"floor_freq = 10 #Hz\n",
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"ceil_freq = 60 #Hz\n",
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"\n",
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"number_trame = 50 # trames on each side of t_s\n",
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"overlap = 0.0001;#s\n",
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"\n",
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"N_fft = 2^18- 1; #number points fft"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"using Plots\n",
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"plot(t, s, title=\"Son bizarre\",label=[\"Signal\"])"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Regardons des trames. La taille de trame reste classique : de l'ordre de 20ms.\n",
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"\n",
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"/TODO attention Gabor\n",
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"\n",
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"/TODO FFT avec gros nombre"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"#using LinearAlgebra\n",
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"\n",
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"#plot(t_trame, s_trame)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"using FFTW\n",
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"\n",
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"i_s = floor(Int, t_s*fs+1)\n",
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"i_e = floor(Int, i_s+trame_period*fs)\n",
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"t_trame = t[i_s:i_e]\n",
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"s_trame = s[i_s:i_e]\n",
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"\n",
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"# Fourier Transform of it \n",
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"s_pad = zeros(N_fft)\n",
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"s_pad[1:size(s_trame,1), 1:size(s_trame,2)]=s_trame\n",
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"F = fft(s_pad) |> fftshift\n",
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"freqs = fftfreq(N_fft, fs) |> fftshift\n",
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"\n",
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"# plots \n",
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"time_domain = plot(t_trame, s_trame, title = \"Signal\")\n",
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"freq_domain = plot(freqs, abs.(F), title = \"Spectrum\", xlim=(-1000, +1000)) \n",
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"plot(time_domain, freq_domain, layout = 2)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"i_s = floor(Int, t_s*fs-number_trame*trame_period*fs+1)\n",
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"i_e = floor(Int, i_s+2*number_trame*trame_period*fs)\n",
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"t_trame = t[i_s:i_e]\n",
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"s_trame = s[i_s:i_e]\n",
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"\n",
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"# Fourier Transform of it \n",
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"s_pad = zeros(N_fft)\n",
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"s_pad[1:size(s_trame,1), 1:size(s_trame,2)]=s_trame\n",
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"F = fft(s_pad) |> fftshift\n",
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"freqs = fftfreq(N_fft, fs) |> fftshift\n",
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"\n",
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"# plots \n",
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"time_domain = plot(t_trame, s_trame, title = \"Signal\")\n",
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"freq_domain = plot(freqs, abs.(F), title = \"Spectrum\", xlim=(-1000, +1000)) \n",
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"plot(time_domain, freq_domain, layout = 2)"
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]
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},
|
||||||
|
{
|
||||||
|
"cell_type": "markdown",
|
||||||
|
"metadata": {},
|
||||||
|
"source": [
|
||||||
|
"On cherche maintenant la fréquence du fondamental. Comme il s'agit d'un instrument à vent, on choisit notre interval de fréquence."
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": null,
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [],
|
||||||
|
"source": [
|
||||||
|
"using WORLD\n",
|
||||||
|
"\n",
|
||||||
|
"f0, timeaxis = harvest(s, fs, HarvestOption(floor_freq, ceil_freq, trame_period));#floor and ceil freq, period\n",
|
||||||
|
"plot(timeaxis, f0)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "markdown",
|
||||||
|
"metadata": {},
|
||||||
|
"source": [
|
||||||
|
"On observe des vibratos, par exemple un gros vibrato vers 5s, un \"fa\". La fréquence du son ne correspond pas exactement à la fréquence du fondamental. On a une modulation de fréquence.\n",
|
||||||
|
"\n",
|
||||||
|
"/TODO étudier cette modulation de fréquence\n",
|
||||||
|
"\n",
|
||||||
|
"Regardons un zoom sur un vibrato. \n",
|
||||||
|
"\n",
|
||||||
|
"/TODO fft du petit bout de signal"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": null,
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [],
|
||||||
|
"source": [
|
||||||
|
"\n",
|
||||||
|
"i_s = floor(Int, t_s*fs-number_trame*trame_period*fs+1)\n",
|
||||||
|
"i_e = floor(Int, i_s+2*number_trame*trame_period*fs)\n",
|
||||||
|
"t_trame = t[i_s:i_e]\n",
|
||||||
|
"s_trame = s[i_s:i_e]\n",
|
||||||
|
"\n",
|
||||||
|
"f0, timeaxis = harvest(s_trame, fs, HarvestOption(floor_freq, ceil_freq, trame_period));#floor and ceil freq, period\n",
|
||||||
|
"plot(timeaxis.+t_trame[1], f0)"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "markdown",
|
||||||
|
"metadata": {},
|
||||||
|
"source": [
|
||||||
|
"On va s'intéresser maintenant au spectrogramme.\n",
|
||||||
|
"\n",
|
||||||
|
"\\TODO On choisit une fenêtre XXXX car XXX"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": null,
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [],
|
||||||
|
"source": [
|
||||||
|
"using DSP, PyPlot\n",
|
||||||
|
"\n",
|
||||||
|
"println(floor(Int, trame_period*fs), floor(Int, overlap*fs))\n",
|
||||||
|
"S = spectrogram(s, floor(Int, trame_period*fs), floor(Int, overlap*fs); fs=fs, window=hanning)\n",
|
||||||
|
"t = time(S)\n",
|
||||||
|
"f = freq(S)\n",
|
||||||
|
"imshow(reverse(log10.(power(S)), dims=1), extent=[first(t), last(t), first(f), last(f)], aspect=\"auto\")"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "markdown",
|
||||||
|
"metadata": {},
|
||||||
|
"source": [
|
||||||
|
"Zoom sur notre vibrato que l'on voit un peu"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": null,
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [],
|
||||||
|
"source": [
|
||||||
|
"S = spectrogram(s_trame, floor(Int, trame_period*fs), floor(Int, overlap*fs); fs=fs, window=hanning)\n",
|
||||||
|
"t = time(S)\n",
|
||||||
|
"f = freq(S)\n",
|
||||||
|
"imshow(reverse(log10.(power(S)), dims=1), extent=[first(t).+t_trame[1], last(t).+t_trame[1], first(f), last(f)], aspect=\"auto\")"
|
||||||
|
]
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": null,
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [],
|
||||||
|
"source": []
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": null,
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [],
|
||||||
|
"source": []
|
||||||
|
},
|
||||||
|
{
|
||||||
|
"cell_type": "code",
|
||||||
|
"execution_count": null,
|
||||||
|
"metadata": {},
|
||||||
|
"outputs": [],
|
||||||
|
"source": []
|
||||||
|
}
|
||||||
|
],
|
||||||
|
"metadata": {
|
||||||
|
"kernelspec": {
|
||||||
|
"display_name": "Julia 1.2.0",
|
||||||
|
"language": "julia",
|
||||||
|
"name": "julia-1.2"
|
||||||
|
},
|
||||||
|
"language_info": {
|
||||||
|
"file_extension": ".jl",
|
||||||
|
"mimetype": "application/julia",
|
||||||
|
"name": "julia",
|
||||||
|
"version": "1.2.0"
|
||||||
|
}
|
||||||
|
},
|
||||||
|
"nbformat": 4,
|
||||||
|
"nbformat_minor": 4
|
||||||
|
}
|
||||||
BIN
rossignol/nonParametrique/Wave.pdf
Normal file
BIN
rossignol/nonParametrique/Wave.pdf
Normal file
Binary file not shown.
443
rossignol/nonParametrique/notebook.tex
Normal file
443
rossignol/nonParametrique/notebook.tex
Normal file
|
|
@ -0,0 +1,443 @@
|
||||||
|
|
||||||
|
% Default to the notebook output style
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
% Inherit from the specified cell style.
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\documentclass[11pt]{article}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\usepackage[T1]{fontenc}
|
||||||
|
% Nicer default font (+ math font) than Computer Modern for most use cases
|
||||||
|
\usepackage{mathpazo}
|
||||||
|
|
||||||
|
% Basic figure setup, for now with no caption control since it's done
|
||||||
|
% automatically by Pandoc (which extracts  syntax from Markdown).
|
||||||
|
\usepackage{graphicx}
|
||||||
|
% We will generate all images so they have a width \maxwidth. This means
|
||||||
|
% that they will get their normal width if they fit onto the page, but
|
||||||
|
% are scaled down if they would overflow the margins.
|
||||||
|
\makeatletter
|
||||||
|
\def\maxwidth{\ifdim\Gin@nat@width>\linewidth\linewidth
|
||||||
|
\else\Gin@nat@width\fi}
|
||||||
|
\makeatother
|
||||||
|
\let\Oldincludegraphics\includegraphics
|
||||||
|
% Set max figure width to be 80% of text width, for now hardcoded.
|
||||||
|
\renewcommand{\includegraphics}[1]{\Oldincludegraphics[width=.8\maxwidth]{#1}}
|
||||||
|
% Ensure that by default, figures have no caption (until we provide a
|
||||||
|
% proper Figure object with a Caption API and a way to capture that
|
||||||
|
% in the conversion process - todo).
|
||||||
|
\usepackage{caption}
|
||||||
|
\DeclareCaptionLabelFormat{nolabel}{}
|
||||||
|
\captionsetup{labelformat=nolabel}
|
||||||
|
|
||||||
|
\usepackage{adjustbox} % Used to constrain images to a maximum size
|
||||||
|
\usepackage{xcolor} % Allow colors to be defined
|
||||||
|
\usepackage{enumerate} % Needed for markdown enumerations to work
|
||||||
|
\usepackage{geometry} % Used to adjust the document margins
|
||||||
|
\usepackage{amsmath} % Equations
|
||||||
|
\usepackage{amssymb} % Equations
|
||||||
|
\usepackage{textcomp} % defines textquotesingle
|
||||||
|
% Hack from http://tex.stackexchange.com/a/47451/13684:
|
||||||
|
\AtBeginDocument{%
|
||||||
|
\def\PYZsq{\textquotesingle}% Upright quotes in Pygmentized code
|
||||||
|
}
|
||||||
|
\usepackage{upquote} % Upright quotes for verbatim code
|
||||||
|
\usepackage{eurosym} % defines \euro
|
||||||
|
\usepackage[mathletters]{ucs} % Extended unicode (utf-8) support
|
||||||
|
\usepackage[utf8x]{inputenc} % Allow utf-8 characters in the tex document
|
||||||
|
\usepackage{fancyvrb} % verbatim replacement that allows latex
|
||||||
|
\usepackage{grffile} % extends the file name processing of package graphics
|
||||||
|
% to support a larger range
|
||||||
|
% The hyperref package gives us a pdf with properly built
|
||||||
|
% internal navigation ('pdf bookmarks' for the table of contents,
|
||||||
|
% internal cross-reference links, web links for URLs, etc.)
|
||||||
|
\usepackage{hyperref}
|
||||||
|
\usepackage{longtable} % longtable support required by pandoc >1.10
|
||||||
|
\usepackage{booktabs} % table support for pandoc > 1.12.2
|
||||||
|
\usepackage[inline]{enumitem} % IRkernel/repr support (it uses the enumerate* environment)
|
||||||
|
\usepackage[normalem]{ulem} % ulem is needed to support strikethroughs (\sout)
|
||||||
|
% normalem makes italics be italics, not underlines
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
% Colors for the hyperref package
|
||||||
|
\definecolor{urlcolor}{rgb}{0,.145,.698}
|
||||||
|
\definecolor{linkcolor}{rgb}{.71,0.21,0.01}
|
||||||
|
\definecolor{citecolor}{rgb}{.12,.54,.11}
|
||||||
|
|
||||||
|
% ANSI colors
|
||||||
|
\definecolor{ansi-black}{HTML}{3E424D}
|
||||||
|
\definecolor{ansi-black-intense}{HTML}{282C36}
|
||||||
|
\definecolor{ansi-red}{HTML}{E75C58}
|
||||||
|
\definecolor{ansi-red-intense}{HTML}{B22B31}
|
||||||
|
\definecolor{ansi-green}{HTML}{00A250}
|
||||||
|
\definecolor{ansi-green-intense}{HTML}{007427}
|
||||||
|
\definecolor{ansi-yellow}{HTML}{DDB62B}
|
||||||
|
\definecolor{ansi-yellow-intense}{HTML}{B27D12}
|
||||||
|
\definecolor{ansi-blue}{HTML}{208FFB}
|
||||||
|
\definecolor{ansi-blue-intense}{HTML}{0065CA}
|
||||||
|
\definecolor{ansi-magenta}{HTML}{D160C4}
|
||||||
|
\definecolor{ansi-magenta-intense}{HTML}{A03196}
|
||||||
|
\definecolor{ansi-cyan}{HTML}{60C6C8}
|
||||||
|
\definecolor{ansi-cyan-intense}{HTML}{258F8F}
|
||||||
|
\definecolor{ansi-white}{HTML}{C5C1B4}
|
||||||
|
\definecolor{ansi-white-intense}{HTML}{A1A6B2}
|
||||||
|
|
||||||
|
% commands and environments needed by pandoc snippets
|
||||||
|
% extracted from the output of `pandoc -s`
|
||||||
|
\providecommand{\tightlist}{%
|
||||||
|
\setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}}
|
||||||
|
\DefineVerbatimEnvironment{Highlighting}{Verbatim}{commandchars=\\\{\}}
|
||||||
|
% Add ',fontsize=\small' for more characters per line
|
||||||
|
\newenvironment{Shaded}{}{}
|
||||||
|
\newcommand{\KeywordTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}}
|
||||||
|
\newcommand{\DataTypeTok}[1]{\textcolor[rgb]{0.56,0.13,0.00}{{#1}}}
|
||||||
|
\newcommand{\DecValTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}}
|
||||||
|
\newcommand{\BaseNTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}}
|
||||||
|
\newcommand{\FloatTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}}
|
||||||
|
\newcommand{\CharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}}
|
||||||
|
\newcommand{\StringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}}
|
||||||
|
\newcommand{\CommentTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textit{{#1}}}}
|
||||||
|
\newcommand{\OtherTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{{#1}}}
|
||||||
|
\newcommand{\AlertTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}}
|
||||||
|
\newcommand{\FunctionTok}[1]{\textcolor[rgb]{0.02,0.16,0.49}{{#1}}}
|
||||||
|
\newcommand{\RegionMarkerTok}[1]{{#1}}
|
||||||
|
\newcommand{\ErrorTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}}
|
||||||
|
\newcommand{\NormalTok}[1]{{#1}}
|
||||||
|
|
||||||
|
% Additional commands for more recent versions of Pandoc
|
||||||
|
\newcommand{\ConstantTok}[1]{\textcolor[rgb]{0.53,0.00,0.00}{{#1}}}
|
||||||
|
\newcommand{\SpecialCharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}}
|
||||||
|
\newcommand{\VerbatimStringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}}
|
||||||
|
\newcommand{\SpecialStringTok}[1]{\textcolor[rgb]{0.73,0.40,0.53}{{#1}}}
|
||||||
|
\newcommand{\ImportTok}[1]{{#1}}
|
||||||
|
\newcommand{\DocumentationTok}[1]{\textcolor[rgb]{0.73,0.13,0.13}{\textit{{#1}}}}
|
||||||
|
\newcommand{\AnnotationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}}
|
||||||
|
\newcommand{\CommentVarTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}}
|
||||||
|
\newcommand{\VariableTok}[1]{\textcolor[rgb]{0.10,0.09,0.49}{{#1}}}
|
||||||
|
\newcommand{\ControlFlowTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}}
|
||||||
|
\newcommand{\OperatorTok}[1]{\textcolor[rgb]{0.40,0.40,0.40}{{#1}}}
|
||||||
|
\newcommand{\BuiltInTok}[1]{{#1}}
|
||||||
|
\newcommand{\ExtensionTok}[1]{{#1}}
|
||||||
|
\newcommand{\PreprocessorTok}[1]{\textcolor[rgb]{0.74,0.48,0.00}{{#1}}}
|
||||||
|
\newcommand{\AttributeTok}[1]{\textcolor[rgb]{0.49,0.56,0.16}{{#1}}}
|
||||||
|
\newcommand{\InformationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}}
|
||||||
|
\newcommand{\WarningTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}}
|
||||||
|
|
||||||
|
|
||||||
|
% Define a nice break command that doesn't care if a line doesn't already
|
||||||
|
% exist.
|
||||||
|
\def\br{\hspace*{\fill} \\* }
|
||||||
|
% Math Jax compatability definitions
|
||||||
|
\def\gt{>}
|
||||||
|
\def\lt{<}
|
||||||
|
% Document parameters
|
||||||
|
\title{Analyse-Non-Param-Flute}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
% Pygments definitions
|
||||||
|
|
||||||
|
\makeatletter
|
||||||
|
\def\PY@reset{\let\PY@it=\relax \let\PY@bf=\relax%
|
||||||
|
\let\PY@ul=\relax \let\PY@tc=\relax%
|
||||||
|
\let\PY@bc=\relax \let\PY@ff=\relax}
|
||||||
|
\def\PY@tok#1{\csname PY@tok@#1\endcsname}
|
||||||
|
\def\PY@toks#1+{\ifx\relax#1\empty\else%
|
||||||
|
\PY@tok{#1}\expandafter\PY@toks\fi}
|
||||||
|
\def\PY@do#1{\PY@bc{\PY@tc{\PY@ul{%
|
||||||
|
\PY@it{\PY@bf{\PY@ff{#1}}}}}}}
|
||||||
|
\def\PY#1#2{\PY@reset\PY@toks#1+\relax+\PY@do{#2}}
|
||||||
|
|
||||||
|
\expandafter\def\csname PY@tok@w\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.73,0.73}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@c\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@cp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.74,0.48,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@k\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@kp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@kt\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.69,0.00,0.25}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@o\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@ow\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@nb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@nf\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@nc\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@nn\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@ne\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.82,0.25,0.23}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@nv\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@no\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.53,0.00,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@nl\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.63,0.63,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@ni\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.60,0.60,0.60}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@na\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.49,0.56,0.16}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@nt\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@nd\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@s\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@sd\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@si\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.53}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@se\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.13}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@sr\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.53}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@ss\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@sx\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@m\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@gh\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@gu\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.50,0.00,0.50}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@gd\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.63,0.00,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@gi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.63,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@gr\endcsname{\def\PY@tc##1{\textcolor[rgb]{1.00,0.00,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@ge\endcsname{\let\PY@it=\textit}
|
||||||
|
\expandafter\def\csname PY@tok@gs\endcsname{\let\PY@bf=\textbf}
|
||||||
|
\expandafter\def\csname PY@tok@gp\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@go\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.53,0.53,0.53}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@gt\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.27,0.87}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@err\endcsname{\def\PY@bc##1{\setlength{\fboxsep}{0pt}\fcolorbox[rgb]{1.00,0.00,0.00}{1,1,1}{\strut ##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@kc\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@kd\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@kn\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@kr\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@bp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@fm\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@vc\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@vg\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@vi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@vm\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@sa\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@sb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@sc\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@dl\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@s2\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@sh\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@s1\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@mb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@mf\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@mh\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@mi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@il\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@mo\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@ch\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@cm\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@cpf\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@c1\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
|
||||||
|
\expandafter\def\csname PY@tok@cs\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
|
||||||
|
|
||||||
|
\def\PYZbs{\char`\\}
|
||||||
|
\def\PYZus{\char`\_}
|
||||||
|
\def\PYZob{\char`\{}
|
||||||
|
\def\PYZcb{\char`\}}
|
||||||
|
\def\PYZca{\char`\^}
|
||||||
|
\def\PYZam{\char`\&}
|
||||||
|
\def\PYZlt{\char`\<}
|
||||||
|
\def\PYZgt{\char`\>}
|
||||||
|
\def\PYZsh{\char`\#}
|
||||||
|
\def\PYZpc{\char`\%}
|
||||||
|
\def\PYZdl{\char`\$}
|
||||||
|
\def\PYZhy{\char`\-}
|
||||||
|
\def\PYZsq{\char`\'}
|
||||||
|
\def\PYZdq{\char`\"}
|
||||||
|
\def\PYZti{\char`\~}
|
||||||
|
% for compatibility with earlier versions
|
||||||
|
\def\PYZat{@}
|
||||||
|
\def\PYZlb{[}
|
||||||
|
\def\PYZrb{]}
|
||||||
|
\makeatother
|
||||||
|
|
||||||
|
|
||||||
|
% Exact colors from NB
|
||||||
|
\definecolor{incolor}{rgb}{0.0, 0.0, 0.5}
|
||||||
|
\definecolor{outcolor}{rgb}{0.545, 0.0, 0.0}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
% Prevent overflowing lines due to hard-to-break entities
|
||||||
|
\sloppy
|
||||||
|
% Setup hyperref package
|
||||||
|
\hypersetup{
|
||||||
|
breaklinks=true, % so long urls are correctly broken across lines
|
||||||
|
colorlinks=true,
|
||||||
|
urlcolor=urlcolor,
|
||||||
|
linkcolor=linkcolor,
|
||||||
|
citecolor=citecolor,
|
||||||
|
}
|
||||||
|
% Slightly bigger margins than the latex defaults
|
||||||
|
|
||||||
|
\geometry{verbose,tmargin=1in,bmargin=1in,lmargin=1in,rmargin=1in}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\begin{document}
|
||||||
|
|
||||||
|
|
||||||
|
\maketitle
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\section{Analyse non paramétrique du signal de la
|
||||||
|
flute}\label{analyse-non-paramuxe9trique-du-signal-de-la-flute}
|
||||||
|
|
||||||
|
Nous allons commencer par afficher le signals
|
||||||
|
|
||||||
|
/TODO mettre des labels X/Y avec unités et des titres à toutes les
|
||||||
|
figure
|
||||||
|
|
||||||
|
\begin{Verbatim}[commandchars=\\\{\}]
|
||||||
|
{\color{incolor}In [{\color{incolor}46}]:} \PY{k}{using} \PY{n}{WAV}
|
||||||
|
|
||||||
|
\PY{n}{s}\PY{p}{,} \PY{n}{fs} \PY{o}{=} \PY{n}{wavread}\PY{p}{(}\PY{l+s}{\PYZdq{}}\PY{l+s}{.}\PY{l+s}{.}\PY{l+s}{/}\PY{l+s}{f}\PY{l+s}{l}\PY{l+s}{u}\PY{l+s}{t}\PY{l+s}{e}\PY{l+s}{i}\PY{l+s}{r}\PY{l+s}{c}\PY{l+s}{a}\PY{l+s}{m}\PY{l+s}{.}\PY{l+s}{w}\PY{l+s}{a}\PY{l+s}{v}\PY{l+s}{\PYZdq{}}\PY{p}{)}\PY{p}{;}
|
||||||
|
\PY{n}{s} \PY{o}{=} \PY{n}{vec}\PY{p}{(}\PY{n}{s}\PY{p}{)}\PY{p}{;}
|
||||||
|
\PY{n}{t} \PY{o}{=} \PY{p}{(}\PY{l+m+mi}{0} \PY{o}{:} \PY{l+m+mi}{1} \PY{o}{:} \PY{n}{size}\PY{p}{(}\PY{n}{s}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{]}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{)}\PY{o}{/}\PY{n}{fs}\PY{p}{;}
|
||||||
|
\PY{n}{fs} \PY{o}{=} \PY{n}{floor}\PY{p}{(}\PY{k+kt}{Int}\PY{p}{,} \PY{n}{fs}\PY{p}{)}\PY{p}{;}
|
||||||
|
\end{Verbatim}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{Verbatim}[commandchars=\\\{\}]
|
||||||
|
{\color{incolor}In [{\color{incolor}47}]:} \PY{k}{using} \PY{n}{Plots}
|
||||||
|
\PY{n}{plot}\PY{p}{(}\PY{n}{t}\PY{p}{,} \PY{n}{s}\PY{p}{,} \PY{n}{title}\PY{o}{=}\PY{l+s}{\PYZdq{}}\PY{l+s}{S}\PY{l+s}{o}\PY{l+s}{n}\PY{l+s}{ }\PY{l+s}{d}\PY{l+s}{e}\PY{l+s}{ }\PY{l+s}{f}\PY{l+s}{l}\PY{l+s}{u}\PY{l+s}{t}\PY{l+s}{e}\PY{l+s}{\PYZdq{}}\PY{p}{,}\PY{n}{label}\PY{o}{=}\PY{p}{[}\PY{l+s}{\PYZdq{}}\PY{l+s}{S}\PY{l+s}{i}\PY{l+s}{g}\PY{l+s}{n}\PY{l+s}{a}\PY{l+s}{l}\PY{l+s}{\PYZdq{}}\PY{p}{]}\PY{p}{)}
|
||||||
|
\end{Verbatim}
|
||||||
|
|
||||||
|
\texttt{\color{outcolor}Out[{\color{outcolor}47}]:}
|
||||||
|
|
||||||
|
\begin{center}
|
||||||
|
\adjustimage{max size={0.9\linewidth}{0.9\paperheight}}{output_2_0.pdf}
|
||||||
|
\end{center}
|
||||||
|
{ \hspace*{\fill} \\}
|
||||||
|
|
||||||
|
|
||||||
|
Regardons des trames. La taille de trame reste classique : de l'ordre de
|
||||||
|
20ms.
|
||||||
|
|
||||||
|
\begin{Verbatim}[commandchars=\\\{\}]
|
||||||
|
{\color{incolor}In [{\color{incolor}48}]:} \PY{k}{using} \PY{n}{LinearAlgebra}
|
||||||
|
|
||||||
|
\PY{n}{t\PYZus{}s} \PY{o}{=} \PY{l+m+mi}{5} \PY{c}{\PYZsh{}s}
|
||||||
|
\PY{n}{trame\PYZus{}period} \PY{o}{=} \PY{l+m+mf}{0.01} \PY{c}{\PYZsh{}s}
|
||||||
|
\PY{n}{i\PYZus{}s} \PY{o}{=} \PY{n}{floor}\PY{p}{(}\PY{k+kt}{Int}\PY{p}{,} \PY{n}{t\PYZus{}s}\PY{o}{*}\PY{n}{fs}\PY{o}{+}\PY{l+m+mi}{1}\PY{p}{)}
|
||||||
|
\PY{n}{i\PYZus{}e} \PY{o}{=} \PY{n}{floor}\PY{p}{(}\PY{k+kt}{Int}\PY{p}{,} \PY{n}{i\PYZus{}s}\PY{o}{+}\PY{n}{trame\PYZus{}period}\PY{o}{*}\PY{n}{fs}\PY{p}{)}
|
||||||
|
\PY{n}{t\PYZus{}trame} \PY{o}{=} \PY{n}{t}\PY{p}{[}\PY{n}{i\PYZus{}s}\PY{o}{:}\PY{n}{i\PYZus{}e}\PY{p}{]}
|
||||||
|
\PY{n}{s\PYZus{}trame} \PY{o}{=} \PY{n}{s}\PY{p}{[}\PY{n}{i\PYZus{}s}\PY{o}{:}\PY{n}{i\PYZus{}e}\PY{p}{]}
|
||||||
|
\PY{n}{plot}\PY{p}{(}\PY{n}{t\PYZus{}trame}\PY{p}{,} \PY{n}{s\PYZus{}trame}\PY{p}{)}
|
||||||
|
\end{Verbatim}
|
||||||
|
|
||||||
|
\texttt{\color{outcolor}Out[{\color{outcolor}48}]:}
|
||||||
|
|
||||||
|
\begin{center}
|
||||||
|
\adjustimage{max size={0.9\linewidth}{0.9\paperheight}}{output_4_0.pdf}
|
||||||
|
\end{center}
|
||||||
|
{ \hspace*{\fill} \\}
|
||||||
|
|
||||||
|
|
||||||
|
On cherche maintenant la fréquence du fondamental. Comme il s'agit d'un
|
||||||
|
instrument à vent, on choisit notre interval de fréquence.
|
||||||
|
|
||||||
|
\begin{Verbatim}[commandchars=\\\{\}]
|
||||||
|
{\color{incolor}In [{\color{incolor}49}]:} \PY{k}{using} \PY{n}{WORLD}
|
||||||
|
|
||||||
|
\PY{n}{floor\PYZus{}freq} \PY{o}{=} \PY{l+m+mi}{300} \PY{c}{\PYZsh{}Hz}
|
||||||
|
\PY{n}{ceil\PYZus{}freq} \PY{o}{=} \PY{l+m+mi}{800} \PY{c}{\PYZsh{}Hz}
|
||||||
|
|
||||||
|
\PY{n}{f0}\PY{p}{,} \PY{n}{timeaxis} \PY{o}{=} \PY{n}{harvest}\PY{p}{(}\PY{n}{s}\PY{p}{,} \PY{n}{fs}\PY{p}{,} \PY{n}{HarvestOption}\PY{p}{(}\PY{n}{floor\PYZus{}freq}\PY{p}{,} \PY{n}{ceil\PYZus{}freq}\PY{p}{,} \PY{n}{trame\PYZus{}period}\PY{p}{)}\PY{p}{)}\PY{p}{;}\PY{c}{\PYZsh{}floor and ceil freq, period}
|
||||||
|
\PY{n}{plot}\PY{p}{(}\PY{n}{timeaxis}\PY{p}{,} \PY{n}{f0}\PY{p}{)}
|
||||||
|
\end{Verbatim}
|
||||||
|
|
||||||
|
\texttt{\color{outcolor}Out[{\color{outcolor}49}]:}
|
||||||
|
|
||||||
|
\begin{center}
|
||||||
|
\adjustimage{max size={0.9\linewidth}{0.9\paperheight}}{output_6_0.pdf}
|
||||||
|
\end{center}
|
||||||
|
{ \hspace*{\fill} \\}
|
||||||
|
|
||||||
|
|
||||||
|
On observe des vibratos, par exemple un gros vibrato vers 5s, un "fa".
|
||||||
|
La fréquence du son ne correspond pas exactement à la fréquence du
|
||||||
|
fondamental. On a une modulation de fréquence.
|
||||||
|
|
||||||
|
/TODO étudier cette modulation de fréquence
|
||||||
|
|
||||||
|
Regardons un zoom sur un vibrato.
|
||||||
|
|
||||||
|
/TODO fft du petit bout de signal
|
||||||
|
|
||||||
|
\begin{Verbatim}[commandchars=\\\{\}]
|
||||||
|
{\color{incolor}In [{\color{incolor}50}]:} \PY{n}{number\PYZus{}trame} \PY{o}{=} \PY{l+m+mi}{100} \PY{c}{\PYZsh{} trames on each side of t\PYZus{}s}
|
||||||
|
|
||||||
|
\PY{n}{i\PYZus{}s} \PY{o}{=} \PY{n}{floor}\PY{p}{(}\PY{k+kt}{Int}\PY{p}{,} \PY{n}{t\PYZus{}s}\PY{o}{*}\PY{n}{fs}\PY{o}{\PYZhy{}}\PY{n}{number\PYZus{}trame}\PY{o}{*}\PY{n}{trame\PYZus{}period}\PY{o}{*}\PY{n}{fs}\PY{o}{+}\PY{l+m+mi}{1}\PY{p}{)}
|
||||||
|
\PY{n}{i\PYZus{}e} \PY{o}{=} \PY{n}{floor}\PY{p}{(}\PY{k+kt}{Int}\PY{p}{,} \PY{n}{i\PYZus{}s}\PY{o}{+}\PY{l+m+mi}{2}\PY{o}{*}\PY{n}{number\PYZus{}trame}\PY{o}{*}\PY{n}{trame\PYZus{}period}\PY{o}{*}\PY{n}{fs}\PY{p}{)}
|
||||||
|
\PY{n}{t\PYZus{}trame} \PY{o}{=} \PY{n}{t}\PY{p}{[}\PY{n}{i\PYZus{}s}\PY{o}{:}\PY{n}{i\PYZus{}e}\PY{p}{]}
|
||||||
|
\PY{n}{s\PYZus{}trame} \PY{o}{=} \PY{n}{s}\PY{p}{[}\PY{n}{i\PYZus{}s}\PY{o}{:}\PY{n}{i\PYZus{}e}\PY{p}{]}
|
||||||
|
|
||||||
|
\PY{n}{f0}\PY{p}{,} \PY{n}{timeaxis} \PY{o}{=} \PY{n}{harvest}\PY{p}{(}\PY{n}{s\PYZus{}trame}\PY{p}{,} \PY{n}{fs}\PY{p}{,} \PY{n}{HarvestOption}\PY{p}{(}\PY{n}{floor\PYZus{}freq}\PY{p}{,} \PY{n}{ceil\PYZus{}freq}\PY{p}{,} \PY{n}{trame\PYZus{}period}\PY{p}{)}\PY{p}{)}\PY{p}{;}\PY{c}{\PYZsh{}floor and ceil freq, period}
|
||||||
|
\PY{n}{plot}\PY{p}{(}\PY{n}{timeaxis}\PY{o}{.+}\PY{n}{t\PYZus{}trame}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{]}\PY{p}{,} \PY{n}{f0}\PY{p}{)}
|
||||||
|
\end{Verbatim}
|
||||||
|
|
||||||
|
\texttt{\color{outcolor}Out[{\color{outcolor}50}]:}
|
||||||
|
|
||||||
|
\begin{center}
|
||||||
|
\adjustimage{max size={0.9\linewidth}{0.9\paperheight}}{output_8_0.pdf}
|
||||||
|
\end{center}
|
||||||
|
{ \hspace*{\fill} \\}
|
||||||
|
|
||||||
|
|
||||||
|
On va s'intéresser maintenant au spectrogramme.
|
||||||
|
|
||||||
|
\TODO On choisit une fenêtre XXXX car XXX
|
||||||
|
|
||||||
|
\begin{Verbatim}[commandchars=\\\{\}]
|
||||||
|
{\color{incolor}In [{\color{incolor}53}]:} \PY{c}{\PYZsh{}\PYZpc{}matplotlib inline}
|
||||||
|
\PY{k}{using} \PY{n}{DSP}\PY{p}{,} \PY{n}{PyPlot}
|
||||||
|
\PY{n}{trame\PYZus{}period} \PY{o}{=} \PY{l+m+mf}{0.01} \PY{c}{\PYZsh{}s}
|
||||||
|
\PY{n}{overlap} \PY{o}{=} \PY{l+m+mf}{0.001}\PY{c}{\PYZsh{}s}
|
||||||
|
|
||||||
|
\PY{n}{S} \PY{o}{=} \PY{n}{spectrogram}\PY{p}{(}\PY{n}{s}\PY{p}{,} \PY{n}{convert}\PY{p}{(}\PY{k+kt}{Int}\PY{p}{,} \PY{n}{trame\PYZus{}period}\PY{o}{*}\PY{n}{fs}\PY{p}{)}\PY{p}{,} \PY{n}{convert}\PY{p}{(}\PY{k+kt}{Int}\PY{p}{,} \PY{n}{overlap}\PY{o}{*}\PY{n}{fs}\PY{p}{)}\PY{p}{;} \PY{n}{fs}\PY{o}{=}\PY{n}{fs}\PY{p}{,} \PY{n}{window}\PY{o}{=}\PY{n}{hanning}\PY{p}{)}
|
||||||
|
\PY{n}{t} \PY{o}{=} \PY{n}{time}\PY{p}{(}\PY{n}{S}\PY{p}{)}
|
||||||
|
\PY{n}{f} \PY{o}{=} \PY{n}{freq}\PY{p}{(}\PY{n}{S}\PY{p}{)}
|
||||||
|
\PY{n}{imshow}\PY{p}{(}\PY{n}{reverse}\PY{p}{(}\PY{n}{log10}\PY{o}{.}\PY{p}{(}\PY{n}{power}\PY{p}{(}\PY{n}{S}\PY{p}{)}\PY{p}{)}\PY{p}{,} \PY{n}{dims}\PY{o}{=}\PY{l+m+mi}{1}\PY{p}{)}\PY{p}{,} \PY{n}{extent}\PY{o}{=}\PY{p}{[}\PY{n}{first}\PY{p}{(}\PY{n}{t}\PY{p}{)}\PY{p}{,} \PY{n}{last}\PY{p}{(}\PY{n}{t}\PY{p}{)}\PY{p}{,} \PY{n}{first}\PY{p}{(}\PY{n}{f}\PY{p}{)}\PY{p}{,} \PY{n}{last}\PY{p}{(}\PY{n}{f}\PY{p}{)}\PY{p}{]}\PY{p}{,} \PY{n}{aspect}\PY{o}{=}\PY{l+s}{\PYZdq{}}\PY{l+s}{a}\PY{l+s}{u}\PY{l+s}{t}\PY{l+s}{o}\PY{l+s}{\PYZdq{}}\PY{p}{)}
|
||||||
|
\end{Verbatim}
|
||||||
|
|
||||||
|
|
||||||
|
The analogue of IPython's \texttt{\%matplotlib} in Julia is to use the \href{https://github.com/stevengj/PyPlot.jl}{PyPlot package}, which gives a Julia interface to Matplotlib including inline plots in IJulia notebooks. (The equivalent of \texttt{numpy} is already loaded by default in Julia.)
|
||||||
|
|
||||||
|
Given PyPlot, the analogue of \texttt{\%matplotlib inline} is \texttt{using PyPlot}, since PyPlot defaults to inline plots in IJulia.
|
||||||
|
|
||||||
|
To enable separate GUI windows in PyPlot, analogous to \texttt{\%matplotlib}, do \texttt{using PyPlot; pygui(true)}. To specify a particular gui backend, analogous to \texttt{\%matplotlib gui}, you can either do \texttt{using PyPlot; pygui(:gui); using PyPlot; pygui(true)} (where \texttt{gui} is \texttt{wx}, \texttt{qt}, \texttt{tk}, or \texttt{gtk}), or you can do \texttt{ENV["MPLBACKEND"]=backend; using PyPlot; pygui(true)} (where \texttt{backend} is the name of a Matplotlib backend, like \texttt{tkagg}).
|
||||||
|
|
||||||
|
For more options, see the PyPlot documentation.
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\begin{Verbatim}[commandchars=\\\{\}]
|
||||||
|
{\color{incolor}In [{\color{incolor} }]:} \PY{n}{Zoom} \PY{n}{sur} \PY{n}{notre} \PY{n}{vibrato} \PY{n}{que} \PY{n}{l}\PY{o}{\PYZsq{}}\PY{n}{on} \PY{n}{voit} \PY{n}{un} \PY{n}{peu}
|
||||||
|
\end{Verbatim}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{Verbatim}[commandchars=\\\{\}]
|
||||||
|
{\color{incolor}In [{\color{incolor}52}]:} \PY{n}{S} \PY{o}{=} \PY{n}{spectrogram}\PY{p}{(}\PY{n}{s\PYZus{}trame}\PY{p}{,} \PY{n}{convert}\PY{p}{(}\PY{k+kt}{Int}\PY{p}{,} \PY{n}{trame\PYZus{}period}\PY{o}{*}\PY{n}{fs}\PY{p}{)}\PY{p}{,} \PY{n}{convert}\PY{p}{(}\PY{k+kt}{Int}\PY{p}{,} \PY{n}{overlap}\PY{o}{*}\PY{n}{fs}\PY{p}{)}\PY{p}{;} \PY{n}{fs}\PY{o}{=}\PY{n}{fs}\PY{p}{,} \PY{n}{window}\PY{o}{=}\PY{n}{hanning}\PY{p}{)}
|
||||||
|
\PY{n}{t} \PY{o}{=} \PY{n}{time}\PY{p}{(}\PY{n}{S}\PY{p}{)}
|
||||||
|
\PY{n}{f} \PY{o}{=} \PY{n}{freq}\PY{p}{(}\PY{n}{S}\PY{p}{)}
|
||||||
|
\PY{n}{imshow}\PY{p}{(}\PY{n}{reverse}\PY{p}{(}\PY{n}{log10}\PY{o}{.}\PY{p}{(}\PY{n}{power}\PY{p}{(}\PY{n}{S}\PY{p}{)}\PY{p}{)}\PY{p}{,} \PY{n}{dims}\PY{o}{=}\PY{l+m+mi}{1}\PY{p}{)}\PY{p}{,} \PY{n}{extent}\PY{o}{=}\PY{p}{[}\PY{n}{first}\PY{p}{(}\PY{n}{t}\PY{p}{)}\PY{o}{.+}\PY{n}{t\PYZus{}trame}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{]}\PY{p}{,} \PY{n}{last}\PY{p}{(}\PY{n}{t}\PY{p}{)}\PY{o}{.+}\PY{n}{t\PYZus{}trame}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{]}\PY{p}{,} \PY{n}{first}\PY{p}{(}\PY{n}{f}\PY{p}{)}\PY{p}{,} \PY{n}{last}\PY{p}{(}\PY{n}{f}\PY{p}{)}\PY{p}{]}\PY{p}{,} \PY{n}{aspect}\PY{o}{=}\PY{l+s}{\PYZdq{}}\PY{l+s}{a}\PY{l+s}{u}\PY{l+s}{t}\PY{l+s}{o}\PY{l+s}{\PYZdq{}}\PY{p}{)}
|
||||||
|
\end{Verbatim}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{center}
|
||||||
|
\adjustimage{max size={0.9\linewidth}{0.9\paperheight}}{output_12_0.png}
|
||||||
|
\end{center}
|
||||||
|
{ \hspace*{\fill} \\}
|
||||||
|
|
||||||
|
\begin{Verbatim}[commandchars=\\\{\}]
|
||||||
|
{\color{outcolor}Out[{\color{outcolor}52}]:} PyObject <matplotlib.image.AxesImage object at 0x7fac9988bb38>
|
||||||
|
\end{Verbatim}
|
||||||
|
|
||||||
|
|
||||||
|
% Add a bibliography block to the postdoc
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\end{document}
|
||||||
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||||||
|
711.935,1151.94 718.301,1244.46 724.569,1316.89 730.935,1345.14 737.204,1367.77 743.569,1369.76 749.838,1370.85 756.203,1384.43 762.472,1402.17 768.837,1428.61
|
||||||
|
775.106,1446.71 781.472,1426.07 787.74,1394.93 794.106,1372.11 800.471,1337.53 806.74,1299.15 813.105,1287.56 819.374,1280.13 825.739,1275.25 832.008,1281.4
|
||||||
|
838.374,1289.37 844.642,1307.66 851.008,1305.48 857.277,1254.42 863.642,1160.27 869.911,1065.39 876.276,1014.33 882.545,1001.11 888.91,1027.73 895.276,1096.9
|
||||||
|
901.545,1177.83 907.91,1242.29 914.179,1289.37 920.544,1322.14 926.813,1338.98 933.178,1335.72 939.447,1310.55 945.812,1283.76 952.081,1266.37 958.447,1260.94
|
||||||
|
964.715,1254.42 971.081,1249.9 977.446,1247.54 983.715,1248.63 990.08,1252.25 996.349,1267.28 1002.71,1264.74 1008.98,1234.51 1015.35,1189.24 1021.62,1126.05
|
||||||
|
1027.98,1040.59 1034.25,929.05 1040.62,813.893 1046.89,703.806 1053.25,602.229 1059.52,529.079 1065.89,490.15 1072.25,478.38 1078.52,483.631 1084.88,501.195
|
||||||
|
1091.15,532.338 1097.52,574.164 1103.79,610.014 1110.15,636.269 1116.42,647.495 1122.79,620.335 1129.06,572.715 1135.42,515.68 1141.69,428.588 1148.06,321.216
|
||||||
|
1154.42,226.339 1160.69,147.576 1167.06,96.8775 1173.32,88.0053 1179.69,130.737 1185.96,224.166 1192.32,358.697 1198.59,518.577 1204.96,686.605 1211.23,839.604
|
||||||
|
1217.59,964.358 1223.86,1063.76 1230.23,1124.24 1236.59,1129.31 1242.86,1114.46 1249.23,1065.39 1255.49,967.436 1261.86,888.129 1268.13,857.348 1274.49,874.187
|
||||||
|
1280.76,958.02 1287.13,1072.09 1293.4,1169.87 1299.76,1253.34 1306.03,1324.13 1312.4,1361.61 1318.67,1376.64 1325.03,1378.81 1331.4,1379 1337.67,1390.95
|
||||||
|
1344.03,1410.68 1350.3,1427.7 1356.66,1435.13 1362.93,1414.12 1369.3,1385.51 1375.57,1359.44 1381.93,1329.38 1388.2,1295.71 1394.57,1276.33 1400.84,1276.15
|
||||||
|
1407.2,1285.2 1413.57,1279.77 1419.84,1287.92 1426.2,1314.72 1432.47,1299.51 1438.84,1235.77 1445.1,1136.91 1451.47,1042.4 1457.74,1004.92 1464.1,1009.08
|
||||||
|
1470.37,1043.66 1476.74,1122.06 1483.01,1195.76 1489.37,1258.04 1495.64,1309.65 1502.01,1335.18 1508.37,1339.34 1514.64,1326.85 1521.01,1301.86 1527.27,1283.57
|
||||||
|
1533.64,1268.18 1539.91,1254.97 1546.27,1252.07 1552.54,1252.07 1558.91,1242.83 1565.18,1248.81 1571.54,1257.32 1577.81,1260.22 1584.18,1257.68 1590.54,1227.63
|
||||||
|
1596.81,1175.66 1603.18,1114.1 1609.44,1022.48 1615.81,912.935 1622.08,797.416 1628.44,683.708 1634.71,588.83 1641.08,527.811 1647.35,485.261 1653.71,476.57
|
||||||
|
1659.98,490.331 1666.35,508.437 1672.62,540.667 1678.98,584.303 1685.35,612.006 1691.62,630.475 1697.98,636.45 1704.25,606.031 1710.61,557.144 1716.88,488.52
|
||||||
|
1723.25,401.066 1729.52,298.221 1735.88,201.171 1742.15,133.453 1748.52,100.499 1754.79,97.6018 1761.15,147.213 1767.52,256.033 1773.79,400.342 1780.15,560.222
|
||||||
|
1786.42,730.06 1792.79,875.093 1799.05,993.69 1805.42,1082.59 1811.69,1135.64 1818.05,1137.09 1824.32,1099.43 1830.69,1034.25 1836.96,947.881 1843.32,862.961
|
||||||
|
1849.59,841.958 1855.96,891.57 1862.32,970.333 1868.59,1083.68 1874.96,1193.04 1881.22,1268.36 1887.59,1336.99 1893.86,1372.11 1900.22,1376.46 1906.49,1391.13
|
||||||
|
1912.86,1394.02 1919.13,1393.66 1925.49,1412.13 1931.76,1426.25 1938.13,1429.33 1944.49,1408.69 1950.76,1371.93 1957.13,1344.96 1963.4,1317.07 1969.76,1291.18
|
||||||
|
1976.03,1280.68 1982.39,1280.13 1988.66,1277.6 1995.03,1281.4 2001.3,1303.13 2007.66,1319.79 2013.93,1292.08 2020.3,1203.72 2026.66,1104.32 2032.93,1035.7
|
||||||
|
2039.3,998.579 2045.57,1011.62 2051.93,1067.93 2058.2,1139.08 2064.57,1210.24 2070.83,1278.69 2077.2,1314.17 2083.47,1335.18 2089.83,1338.8 2096.1,1320.15
|
||||||
|
2102.47,1300.41 2108.74,1284.84 2115.1,1263.84 2121.47,1256.23 2127.74,1251.71 2134.1,1244.28 2140.37,1241.21 2146.74,1244.46 2153,1248.99 2159.37,1258.23
|
||||||
|
2165.64,1250.62 2172,1216.76 2178.27,1169.5 2184.64,1102.15 2190.91,1002.92 2197.27,895.191 2203.64,776.775 2209.91,661.075 2216.27,575.069 2222.54,517.49
|
||||||
|
2228.91,483.812 2235.17,476.751 2241.54,487.615 2247.81,516.042 2254.17,554.065 2260.44,587.2 2266.81,614.903 2273.08,630.475 2279.44,625.586 2285.71,597.34
|
||||||
|
2292.08,544.831
|
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|
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Reference in a new issue