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Code:

function ex 
= inverseFilter(y,h,gamma);
%
%
 ex = inverseFilter(y,h,gamma);
%
%
 Generalized inverse filtering using threshold gamma:
%
%
  inv_g(H) = gamma*abs(fft(h))/fft(h), if abs(fft(h)) <= 1/gamma
%  inv_g(H) = inv(H),            otherwise
%
%
 Reference: Lims book
% Created: Tue May 4 16:22:57 CDT 1999, Huipin Zhang

= size(y,1);
Yf = fft2(y);
Hf = fft2(h,N,N);

%
 handle singular case (zero case)
sHf = Hf.*(abs(Hf)>0)+1/gamma*(abs(Hf)==0);
iHf = 1./sHf;

%
lengthzero = length(abs(Hf)==0)
%
 invert Hf using threshold gamma
iHf 
= iHf.*(abs(Hf)*gamma>1)+gamma*abs(sHf).*iHf.*(abs(sHf)*gamma<=1);
ex = real(ifft2(iHf.*Yf));

return
 




_________________
M. S. Rakha, Ph.D.
Queen's University
Canada


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