commit julia du sale
This commit is contained in:
hschindler
parent
750efa2a80
commit
ba48cde99b
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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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File diff suppressed because one or more lines are too long
247
rossignol/nonParametrique/Analyse-Non-Param-MySon.ipynb
Normal file
247
rossignol/nonParametrique/Analyse-Non-Param-MySon.ipynb
Normal file
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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": [
|
||||
"# 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": [
|
||||
"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": {},
|
||||
"source": [
|
||||
"Regardons des trames. La taille de trame reste classique : de l'ordre de 20ms.\n",
|
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"\n",
|
||||
"/TODO attention Gabor\n",
|
||||
"\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": [
|
||||
"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",
|
||||
"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,
|
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"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",
|
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"plot(timeaxis, f0)"
|
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]
|
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},
|
||||
{
|
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"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",
|
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"t_trame = t[i_s:i_e]\n",
|
||||
"s_trame = s[i_s:i_e]\n",
|
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"\n",
|
||||
"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)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"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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|
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|
|
@ -0,0 +1,167 @@
|
|||
<?xml version="1.0" encoding="utf-8"?>
|
||||
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="600" height="400" viewBox="0 0 2400 1600">
|
||||
<defs>
|
||||
<clipPath id="clip6700">
|
||||
<rect x="0" y="0" width="2400" height="1600"/>
|
||||
</clipPath>
|
||||
</defs>
|
||||
<polygon clip-path="url(#clip6700)" points="
|
||||
0,1600 2400,1600 2400,0 0,0
|
||||
" fill="#ffffff" fill-rule="evenodd" fill-opacity="1"/>
|
||||
<defs>
|
||||
<clipPath id="clip6701">
|
||||
<rect x="480" y="0" width="1681" height="1600"/>
|
||||
</clipPath>
|
||||
</defs>
|
||||
<polygon clip-path="url(#clip6700)" points="
|
||||
208.77,1487.47 2352.76,1487.47 2352.76,47.2441 208.77,47.2441
|
||||
" fill="#ffffff" fill-rule="evenodd" fill-opacity="1"/>
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