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。
u '@ Ely bD@@tGr;W function FF=frft_PXJ(N,alpha);
Ak|b0l>^ %matrix
B _@7IbB % FF is the kernel matrix of fractional Fourier transform
~}%&p&
p % \copyright: zjliu
ork|yj/A % Author's email:
zjliu2001@163.com x=3I)}J(kn Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts;
0HPO" x3-O variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t;
gCwt0 ) for k=3:N;
SbJh(V-pr HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2);
F25<+ 1kr end
tnRJ#[Io HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2);
tD^a5qPh for k=2:N;
(v|`LmV HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*...
8a!2zwUBV factorial(k-1)*sqrt(variance));
% 9YA^ri end
u p~@?t2 if mod(N,2)==1;
MZiF];OY W=0:N-1; k=exp(-i*alpha*W); D=diag(k);
agTK = else
a?\ `
W=0:N-2; W=cat(2,W,[N]); k=exp(-i*alpha*W); D=diag(k);
~6fRS2u end
/ ~"AG l. FF=Ts*HH*D*HH'*2;
%rFllb7 % Reference:
,QL(i\ % by 平先军.一种新的分数阶傅立叶变换快速算法.电子学报.
W#Cq6N % 2001(3),Vol.29:406-408.
