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。
t7u*j-YE 9M7P|Q function FF=frft_PXJ(N,alpha);
=oh%-Sh: %matrix
C{^I} p % FF is the kernel matrix of fractional Fourier transform
?)(/SZC0 % \copyright: zjliu
Ck !"MK4 % Author's email:
zjliu2001@163.com dL+yd0 b* Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts;
fV Y I variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t;
D6?h
6`J for k=3:N;
@w.DN)GPo HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2);
7 bO>[RQB end
v@ GhwL HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2);
+: ms` Sr> for k=2:N;
?.F^Oi6
u HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*...
e~(e&4pb factorial(k-1)*sqrt(variance));
;qUB[Kw end
j0~c2 if mod(N,2)==1;
9#hp]0S6 W=0:N-1; k=exp(-i*alpha*W); D=diag(k);
H<fi,"X^ else
Yl'8"
\HF W=0:N-2; W=cat(2,W,[N]); k=exp(-i*alpha*W); D=diag(k);
/%,aX [ end
|:#Ug FF=Ts*HH*D*HH'*2;
z a_0-G%C2 % Reference:
KFO
K%vbM % by 平先军.一种新的分数阶傅立叶变换快速算法.电子学报.
^{=UKf{ % 2001(3),Vol.29:406-408.
