From 1fdcf8dfa3c7d9e8e88f2bab7c2a830bdd467bbb Mon Sep 17 00:00:00 2001 From: Loic Delattre Date: Fri, 24 Mar 2023 09:44:27 +0100 Subject: [PATCH 1/2] spectrogram and FT times test --- FT_times.m | 19 ++++++++++++++++ frequencySpectrum_noplot.m | 44 +++++++++++++++++++++++++++++++++++++ sound/output.wav | Bin 98312 -> 98312 bytes spectral_analysis.m | 9 ++++++++ 4 files changed, 72 insertions(+) create mode 100644 FT_times.m create mode 100644 frequencySpectrum_noplot.m create mode 100644 spectral_analysis.m diff --git a/FT_times.m b/FT_times.m new file mode 100644 index 0000000..d18fccf --- /dev/null +++ b/FT_times.m @@ -0,0 +1,19 @@ +clear all +close all +clc + +[y, fs] = audioread("sound/modulator22.wav"); +times = []; +item_num = 20; +for j = 1:item_num + localtime = []; + for i = 0:1 + t0 = clock (); + frequencySpectrum_noplot(y, fs, 0); %true does FFT, false DFT + localtime(i+1) = etime (clock (), t0); + endfor + times = [times; localtime]; +endfor + +printf('Average DFT time: %d \n', mean(times(1:item_num, 1))) +printf('Average FFT time: %d \n', mean(times(1:item_num, 2))) \ No newline at end of file diff --git a/frequencySpectrum_noplot.m b/frequencySpectrum_noplot.m new file mode 100644 index 0000000..fc4cd51 --- /dev/null +++ b/frequencySpectrum_noplot.m @@ -0,0 +1,44 @@ +function [power, duration] = frequencySpectrum_noplot(signal, fs, pad) +%%%%%%%%%%%%%%%%%% +%function power = frequencySpectrum(signal, fs, pad) +% +% Task: Display the power spectrum (lin and log scale) of a given signal +% +% Input: +% - signal: the input signal to process +% - fs: the sampling rate +% -pad: boolean if true, signal is padded with 0 to the next power of 2 -> FFT instead of DFT +% +% Output: +% - power: the power spectrum +% +% +% Guillaume Gibert, guillaume.gibert@ecam.fr +% 25/04/2022 +%%%%%%%%%%%%%%%%%% + +n = length(signal); % number of samples + +if (pad) + n = 2^nextpow2(n); +end + +tic +y = fft(signal, n);% compute DFT of input signal +duration = toc; + +power = abs(y).^2/n; % power of the DFT + +[val, ind] = max(power); % find the mx value of DFT and its index + +t=0:1/fs:(n-1)/fs; % time range +%pad signal with zeros +if (pad) + signal = [ signal; zeros( n-length(signal), 1)]; +end + +f = (0:n-1)*(fs/n); % frequency range + + + + diff --git a/sound/output.wav b/sound/output.wav index e1ea9637bfb0a07dac2763890515ea69e66561c4..b00d743181d8c9e85274adf97c7e61c0bb90b132 100644 GIT binary patch delta 23 ecmeBZVC!gLn;^k1sLjBj6vogfzg3>`Wjz2%;|5&- delta 23 ecmeBZVC!gLn;^mNvW9`7BZ9F}eycp=%X$D;PzQPd diff --git a/spectral_analysis.m b/spectral_analysis.m new file mode 100644 index 0000000..c79bb80 --- /dev/null +++ b/spectral_analysis.m @@ -0,0 +1,9 @@ +clear all +close all +clc + +[y, fs] = audioread("sound/modulator22.wav"); +%frequencySpectrum(y, fs, 0); %true does FFT, false DFT +step_size = 5; %ms +window_size = 30;%ms +spectrogram(y, fs, step_size, window_size) \ No newline at end of file From 0d3d8f786d24cf3f5ce9c2ef9315bcc8daa3f7cd Mon Sep 17 00:00:00 2001 From: Loic Delattre Date: Fri, 24 Mar 2023 12:01:03 +0100 Subject: [PATCH 2/2] window and formant to find vowel --- FT_times.m | 4 +++- one.png | Bin 0 -> 63855 bytes sound/output.wav | Bin 98312 -> 98312 bytes spectral_analysis.m | 45 +++++++++++++++++++++++++++++++++++++---- spectrogram_analysis.m | 8 ++++++++ three.png | Bin 0 -> 72939 bytes two.png | Bin 0 -> 81934 bytes 7 files changed, 52 insertions(+), 5 deletions(-) create mode 100644 one.png create mode 100644 spectrogram_analysis.m create mode 100644 three.png create mode 100644 two.png diff --git a/FT_times.m b/FT_times.m index d18fccf..46402f4 100644 --- a/FT_times.m +++ b/FT_times.m @@ -16,4 +16,6 @@ for j = 1:item_num endfor printf('Average DFT time: %d \n', mean(times(1:item_num, 1))) -printf('Average FFT time: %d \n', mean(times(1:item_num, 2))) \ No newline at end of file +printf('Standard deviation of DFT time: %d \n', std(times(1:item_num, 1))) +printf('Average FFT time: %d \n', mean(times(1:item_num, 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%true does FFT, false DFT -step_size = 5; %ms -window_size = 30;%ms -spectrogram(y, fs, step_size, window_size) \ No newline at end of file +ranges = [17000, 20000; 29000, 37000; 41000, 46000]; +one = y(ranges(1,1):ranges(1,2)); +two = y(ranges(2,1):ranges(2,2)); +three = y(ranges(3,1):ranges(3,2)); + +word = one; + +n = length(word); +f = (0:n-1)*(fs/n); +f1 = 0;%Hz +f2 = 4000;%Hz +idx = find(f >= f1 & f <= f2); %define the index of the freq range +f = f(idx); +y = fft(word, n);% compute DFT of input signal +power = abs(y).^2/n; +power = power(idx); +[val, ind] = max(power); + +%lowpass for the formant + +Fc = 2000; % define the cutoff frequency of the low-pass filter +[b, a] = butter(6, Fc/(fs/2), 'low'); % design a 4th-order Butterworth low-pass filter +Pxx_filt = filter(b, a, power); % apply the filter to the power spectrum +length(Pxx_filt) +length(f) + + +figure; + +subplot(1,2,1) % time plot +plot(0:1/fs:(length(word)-1)/fs,word); +xlabel('Time (s)'); +ylabel('Amplitude 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