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,V_ j|(e [#=IKsO'R6 function FF=frft_PXJ(N,alpha);
d^=9YRc %matrix
%pIP #y[4 % FF is the kernel matrix of fractional Fourier transform
P_4E<"eK % \copyright: zjliu
9X?RJ."J % Author's email:
zjliu2001@163.com Ptz## o'{5 Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts;
FnKC| X variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t;
~ NZL~p for k=3:N;
?3lA ogB HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2);
!&xci})7a end
Ngj&1Ta&[ HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2);
MyZVx|7 E for k=2:N;
X n8&&w" HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*...
ol lsB3]] factorial(k-1)*sqrt(variance));
HfZ ^ED"} end
c]h@<wnv if mod(N,2)==1;
|Fz ^(US W=0:N-1; k=exp(-i*alpha*W); D=diag(k);
)=#e*1!b else
=A! r ZG W=0:N-2; W=cat(2,W,[N]); k=exp(-i*alpha*W); D=diag(k);
]#Cc 7wa
end
) ,CKuq> FF=Ts*HH*D*HH'*2;
nK32or3 % Reference:
)X ;051Q % by 平先军.一种新的分数阶傅立叶变换快速算法.电子学报.
HKr}" `I. % 2001(3),Vol.29:406-408.
