%Program 11.1 Audio codec %input: vector x of input signal %output: vector out of output signal %Example usage: out=simplecodec(cos((1:2^(12))*2*pi*256/2^(13))); % example signal is 1/2 sec. pure tone of frequency f = 256 function out=simplecodec(x) len=length(x); n=2^5; % length of window nw=floor(len/n); % number of length n windows in x x=x(1:n*nw); % cut x to integer number of n windows Fs=2^(13); % Fs=sampling rate b=2; L=0.3; % b = quantization bits, [-L,L] amplitude range q=2*L/(2^b-1); % q used for b bits on interval [-L, L] for i=1:n % form the MDCT matrix for j=1:2*n M(i,j)= cos((i-1+1/2)*(j-1+1/2+n/2)*pi/n); end end M=sqrt(2/n)*M; N=M'; % inverse MDCT %x=cos((1:T*Fs)*2*pi*64*f/Fs); % test signal %x=x+cos((1:4096)*2*pi*64*5/Fs); %x=x+cos((1:4096)*2*pi*64*6/Fs); x=0.3*x/max(abs(x)); % normalize signal to max amplitude = 0.3 sound(x,Fs) % Matlab's sound command out=[]; for k=1:nw-1 % loop over l ength 2n windows x0=x(1+(k-1)*n:2*n+(k-1)*n)'; y0=M*x0; y1=round(y0/q); % transform components quantized % Storage/transmission of file occurs here y2=y1*q; % transform components dequantized w(:,k)=N*y2; % invert the MDCT if(k>1) w2=w(n+1:2*n,k-1);w3=w(1:n,k); out=[out;(w2+w3)/2]; % collect the reconstructed signal end % (of length 2n less than length of x) end pause(1) sound(out,Fs) % play the reconstructed tone
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