function out=simpledecoder5(x,b)
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
L=1;                           % 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

out=[];
h=(sqrt(2)*sin(((1:2*n)-1/2)*pi/(2*n)))';
for k=1:nw-1                          % loop over length 2n windows
  y1=x(1+(k-1)*n:n+(k-1)*n)';
  y2=y1*q;                            % transform components dequantized
  w(:,k)=N*y2';                        % invert the MDCT
  if(k>1)
      w2=w(n+1:2*n,k-1).*h(n+1:2*n);w3=w(1:n,k).*h(1:n);
      out=[out;(w2+w3)/2];          % collect the reconstructed signal
  end                                 % (of length 2n less than length of x)
end
plot(out(1:200),'Color','r')
sound(out,Fs)                         % play the reconstructed tone