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。
OA0\b _ $;1~JOZh function FF=frft_PXJ(N,alpha);
`ijX9c %matrix
($TxVFNT % FF is the kernel matrix of fractional Fourier transform
G`z48 % \copyright: zjliu
/[L:ol6;! % Author's email:
zjliu2001@163.com tWFJx}H Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts;
?*;zS%93U9 variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t;
"=;&{N~8U for k=3:N;
k*Kq:$9" HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2);
: Ej IV]e end
hbK+\X HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2);
THJ+OnP for k=2:N;
ZU|nKt<GK HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*...
;V
GrZZ factorial(k-1)*sqrt(variance));
pqK3u) end
*)1 ,W+A5L if mod(N,2)==1;
k <qQ+\X W=0:N-1; k=exp(-i*alpha*W); D=diag(k);
^:#%TCJ else
ol\IT9 Zb~ W=0:N-2; W=cat(2,W,[N]); k=exp(-i*alpha*W); D=diag(k);
BhjXNf9[ end
@'<|B. f FF=Ts*HH*D*HH'*2;
mR^D55k % Reference:
wK_}`6R/ % by 平先军.一种新的分数阶傅立叶变换快速算法.电子学报.
-~q]0> % 2001(3),Vol.29:406-408.
