转载一个实现分数傅立叶变换的matlab程序，作者信息在程序中有。
-E4XIn N!2Rl function FF=frft_PXJ(N,alpha);
vVl; | %matrix
.iD*>M:W % FF is the kernel matrix of fractional Fourier transform
2*iIj w3g % \copyright: zjliu
v <Kmq-b % Author's email:
zjliu2001@163.com -E"GX Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts;
^-z=`>SrS" variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t;
$%R$ G`.KM for k=3:N;
u8GMUN HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2);
GL{ 57 end
?>"Yr,b ? HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2);
d5 7i)= for k=2:N;
A][f Llpr HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*...
%ru;;h factorial(k-1)*sqrt(variance));
4(Iplo*Ys@ end
$-}e; V Zb if mod(N,2)==1;
c(;a= n(E# W=0:N-1; k=exp(-i*alpha*W); D=diag(k);
*jIqAhs0{ else
b` Hz$8 W=0:N-2; W=cat(2,W,[N]); k=exp(-i*alpha*W); D=diag(k);
l 'DsZ9y@2 end
a ]
= FF=Ts*HH*D*HH'*2;
U-/{0zB % Reference:
.
\ % by 平先军.一种新的分数阶傅立叶变换快速算法.电子学报.
:0 & X^]\ % 2001(3),Vol.29:406-408.
