From fd076232ba0b76a20e83eed6f9f069d32dfa4351 Mon Sep 17 00:00:00 2001 From: Wonse Jo Date: Sat, 2 Dec 2017 20:55:48 -0500 Subject: [PATCH] update Matlab code --- Software/Matlab STFT Program/300hz.wav | Bin 0 -> 1019726 bytes Software/Matlab STFT Program/STFT_TEST.m | 47 ++++++++++++++++++ Software/Matlab STFT Program/metal.wav | Bin 0 -> 1793870 bytes Software/Matlab STFT Program/plastics.wav | Bin 0 -> 2133838 bytes Software/Matlab STFT Program/stft.m | 56 ++++++++++++++++++++++ Software/Matlab STFT Program/wood.wav | Bin 0 -> 1531726 bytes 6 files changed, 103 insertions(+) create mode 100644 Software/Matlab STFT Program/300hz.wav create mode 100644 Software/Matlab STFT Program/STFT_TEST.m create mode 100644 Software/Matlab STFT Program/metal.wav create mode 100644 Software/Matlab STFT Program/plastics.wav create mode 100644 Software/Matlab STFT Program/stft.m create mode 100644 Software/Matlab STFT Program/wood.wav diff --git a/Software/Matlab STFT Program/300hz.wav 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Program/STFT_TEST.m new file mode 100644 index 0000000..c9285ea --- /dev/null +++ b/Software/Matlab STFT Program/STFT_TEST.m @@ -0,0 +1,47 @@ +clear, clc, close all + +% load a .wav file +[x, fs] = audioread('ppl2.wav'); % load an audio file +x = x(:, 1); % get the first channel + +% define analysis parameters +xlen = length(x); % length of the signal +wlen = 512; % window length (recomended to be power of 2) +hop = wlen/4; % hop size (recomended to be power of 2) +nfft = 1024; % number of fft points (recomended to be power of 2) + +% perform STFT +[S, f, t] = stft(x, wlen, hop, nfft, fs); + +% define the coherent amplification of the window +K = sum(hamming(wlen, 'periodic'))/wlen; + +% take the amplitude of fft(x) and scale it, so not to be a +% function of the length of the window and its coherent amplification +S = abs(S)/wlen/K; + +% correction of the DC & Nyquist component +if rem(nfft, 2) % odd nfft excludes Nyquist point + S(2:end, :) = S(2:end, :).*2; +else % even nfft includes Nyquist point + S(2:end-1, :) = S(2:end-1, :).*2; +end + +% convert amplitude spectrum to dB (min = -120 dB) +S = 20*log10(S + 1e-6); + +% plot the spectrogram +figure(1) +surf(t, f, S) +shading interp +axis tight +box on +view(0, 90) +set(gca, 'FontName', 'Times New Roman', 'FontSize', 14) +xlabel('Time, s') +ylabel('Frequency, Hz') +title('Amplitude spectrogram of the signal') + +handl = colorbar; +set(handl, 'FontName', 'Times New Roman', 'FontSize', 14) +ylabel(handl, 'Magnitude, dB') \ No newline at end of file diff --git a/Software/Matlab STFT Program/metal.wav b/Software/Matlab STFT Program/metal.wav new file mode 100644 index 0000000000000000000000000000000000000000..c71299bff481bc7808d0c789ca6deb7634b5a5c4 GIT binary patch literal 1793870 zcmYiP2mH5l{r~^J-{)!X5+PfZA{0^CTV{yL-boo{XRD|vMH1OUNJAvD$tnsddnO|z zn{)kc*VpI$`v1T0+vRe;_A#Ev^LRe*kNe|s9OtI%t-bcz+kIeU%hk46YuB&syWngi zBO{|D<3`rJWMpKv-;NuZYGk&N4c6Oi^LcuIy^Yr1c)iWm-h7sxZ?MDuyDqo<$Ch8_ 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Program/stft.m new file mode 100644 index 0000000..cb70ef4 --- /dev/null +++ b/Software/Matlab STFT Program/stft.m @@ -0,0 +1,56 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Short-Time Fourier Transform % +% with MATLAB Implementation % +% % +% Author: M.Sc. Eng. Hristo Zhivomirov 12/21/13 % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function [stft, f, t] = stft(x, wlen, hop, nfft, fs) + +% function: [stft, f, t] = stft(x, wlen, hop, nfft, fs) +% x - signal in the time domain +% wlen - length of the analysis Hamming window +% hop - hop size +% nfft - number of FFT points +% fs - sampling frequency, Hz +% stft - STFT matrix (only unique points, time across columns, freq across rows) +% f - frequency vector, Hz +% t - time vector, s + +% represent x as column-vector +x = x(:); + +% length of the signal +xlen = length(x); + +% form a periodic hamming window +win = hamming(wlen, 'periodic'); + +% stft matrix estimation and preallocation +rown = ceil((1+nfft)/2); % calculate the total number of rows +coln = 1+fix((xlen-wlen)/hop); % calculate the total number of columns +stft = zeros(rown, coln); % form the stft matrix + +% initialize the signal time segment index +indx = 0; + +% perform STFT +for col = 1:coln + % windowing + xw = x(indx+1:indx+wlen).*win; + + % FFT + X = fft(xw, nfft); + + % update the stft matrix + stft(:, col) = X(1:rown); + + % update the index + indx = indx + hop; +end + +% calculate the time and frequency vectors +t = (wlen/2:hop:wlen/2+(coln-1)*hop)/fs; +f = (0:rown-1)*fs/nfft; + +end \ No newline at end of file diff --git a/Software/Matlab STFT Program/wood.wav b/Software/Matlab STFT Program/wood.wav new file mode 100644 index 0000000000000000000000000000000000000000..390096944c3508d7c543a9ec5036e3faaf0eadcb GIT binary patch literal 1531726 zcmX`!b)X&P)iv;$xi}PQaSJYm;uMNoaCc9FyHh9-61=#(1$QlOAvmQ#aS0Fz?i80h zGvE5n%lWeYIQO1=&dekG*?aA^_c_^cja64&bc*4i=e39YeW%5jSYU~T7g%_qg^C@995AHF zRfaXgnzAk1H-fRj*2UJvhr!_BqV}S8+F<2i&SK8u*!I|Vnr52j=ir(4nRfMN_2#d^ z-R<3N-PFze!7c4At$!;tD>UEL-__nbZ82@Jbnx%?-|cJ7Yt53u^1%^F6|@1w!t*PR>Aqr z`OUrcz4iUg{f)6++FaVa7aUz2UA)=8*?wAoS|8UO*KE*k(Ed{YQg794)vQ^pS-jT1 z)_&W3+pOEJ+dkero@cjeCTb^YrwH1nZT4vQXqOE}H=~<7gJXl+gWrNV+d12ng0q^l 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