I'm following this guide in order to perform spectral subtraction and so far I have the following code but I can't work out how to successfully concatenate each overlapping frame back together at the end. Thanks for your help.
function [ cleanFile ] = spectralSubtraction( noisyFile )
SamplingFrequency = 44100;
frameLengthMs = 20;
frameLength = (frameLengthMs/1000)*SamplingFrequency;
numSamples = length(noisyFile);
noiseMagEstimate=0;
cleanFrame=0;
%imaginary number
j=sqrt(-1);
%spectrally flatten the speech
noisyFile = preEmphasis(noisyFile);
%frames overlap by 50% so number of frames is double.
numFrames = floor( numSamples / frameLength )*2;
for frame = 1:numFrames-2,
%get the first and last samples for this frame
first = (frame-1)*(frameLength/2)+1;
last = first+frameLength;
%get the samples for this frame
shortTimeFrame = noisyFile(first:last);
%apply a hamming window to this frame
shortTimeFrame = hann(frameLength+1).*shortTimeFrame;
%do the fft for the frame
shortTimeFrame = fft(shortTimeFrame);
%get the absolute value for the magnitude part
mag = abs(shortTimeFrame);
%calculate the phase
phase=angle(shortTimeFrame);
if frame<6
%average spectra of first 5 frames to get noise estimate
noiseMagEstimate=noiseMagEstimate+mag;
elseif frame==6
noiseMagEstimate=noiseMagEstimate/6;
else
%perform spectral subtraction on the rest of the file using
%the noise estimate from the first 5 frames
mag=mag-noiseMagEstimate;
%Flooring
if mag<0
mag=0;
end
%Merge clean mag and phase
cleanFrame=mag.*exp(j*phase);
%Inverse fourier transform of cleaned frame
cleanFrame=ifft(cleanFrame);
%Overlap and add clean frame to clean file
end
end
end
cleanFrame=real(cleanFrame);
if lastFrame~=0
cleanFile=[cleanFile;lastFrame(442:883)+cleanFrame(1:442)];
end
lastFrame=cleanFrame;
It's not great but that's what I've added after
cleanFrame=ifft(cleanFrame);