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。
Quc,,#u K3jPTAw=# function FF=frft_PXJ(N,alpha);
m])!'Pa( = %matrix
5E~?hWAv % FF is the kernel matrix of fractional Fourier transform
j>2Jw'l; ? % \copyright: zjliu
(M1HNIM;( % Author's email:
zjliu2001@163.com LQ,RQ~! Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts;
&GF|Rr8NXs variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t;
7}r!&Eb for k=3:N;
vv2N;/;I HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2);
]s*Fs]1+H end
QT1(= wK3 HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2);
U
Hej5-B for k=2:N;
T 4}SF HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*...
t SST.o3 factorial(k-1)*sqrt(variance));
q P<n< end
GM.2bA(y if mod(N,2)==1;
)Ir_:lk W=0:N-1; k=exp(-i*alpha*W); D=diag(k);
+Za ew679 else
b#**`Y W=0:N-2; W=cat(2,W,[N]); k=exp(-i*alpha*W); D=diag(k);
63s<U/N end
!Gv*iWg FF=Ts*HH*D*HH'*2;
FmfPi
.;1 % Reference:
uCA! L)$ % by 平先军.一种新的分数阶傅立叶变换快速算法.电子学报.
2v!ucd} % 2001(3),Vol.29:406-408.
