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。
m9/a!|fBE >a,w8 ^7 function FF=frft_PXJ(N,alpha);
D3eK!'qS %matrix
gN*8 zui % FF is the kernel matrix of fractional Fourier transform
*N7\d9y % \copyright: zjliu
b+kb7 % Author's email:
zjliu2001@163.com V5=Injs * Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts;
fYwumx`J variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t;
^VA)vLj@ for k=3:N;
d97wiE/i< HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2);
il: ""x7^y end
4WLB,<b} HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2);
+ EM '- for k=2:N;
M` bK HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*...
_b+3;Dy factorial(k-1)*sqrt(variance));
sviGS&J9h end
H=0Y4 T@)T if mod(N,2)==1;
1Z`zdZs W=0:N-1; k=exp(-i*alpha*W); D=diag(k);
74Lq!e3hMF else
NS\'o
)J W=0:N-2; W=cat(2,W,[N]); k=exp(-i*alpha*W); D=diag(k);
1_A< nt?'R end
5z0SjQ FF=Ts*HH*D*HH'*2;
o^Ms(?K%t % Reference:
|KuH2, n0 % by 平先军.一种新的分数阶傅立叶变换快速算法.电子学报.
'E9\V\bi % 2001(3),Vol.29:406-408.
