轉(zhuǎn)載一個(gè)實(shí)現(xiàn)分?jǐn)?shù)傅立葉變換的matlab程序，作者信息在程序中有。 j#7wyi5q  
IRlN++I!  
function FF=frft_PXJ(N,alpha); FYp|oD2=1  
%matrix UedvA9$&;  
% FF is the kernel matrix of fractional Fourier transform +R2^* *<  
% \copyright: zjliu
<P|`7wfxE  
% Author's email: zjliu2001@163.com - P\S>G.  
Ts=sqrt(2*pi/N);  t=-(N-1)/2:(N-1)/2;  t=t'; t=t*Ts; 30A`\+^f  
variance=N/2/pi;  HH=zeros(N); HH(:,1)=1;  HH(:,2)=2*t; t9?R/:B%  
for k=3:N; =$^Wkau  
    HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2); CWE Ejl  
end   f@wsSm  
HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2); j5PaSk&o=  
for k=2:N; %T`4!:vy  
    HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*... Ix*BI9E  
factorial(k-1)*sqrt(variance)); vh<]aiY  
end "V*kOb&'*Z  
if mod(N,2)==1; ATKYjhc _  
    W=0:N-1; k=exp(-i*alpha*W);  D=diag(k); 4$0jz'  
else jz|Wj  
    W=0:N-2; W=cat(2,W,[N]); k=exp(-i*alpha*W);  D=diag(k); [54@i