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。
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n/.a function FF=frft_PXJ(N,alpha);
$1\<>sJH
%matrix
Y#{KGVT< % FF is the kernel matrix of fractional Fourier transform
xv 7^ % \copyright: zjliu
m2{z % Author's email:
zjliu2001@163.com cGsxfwD Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts;
GMgsM6.R variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t;
'|4/aHU for k=3:N;
Lvv`_ HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2);
U`<EpO{j| end
D}cq_|mmn[ HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2);
xYM/{[ for k=2:N;
`W?aq]4x5 HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*...
^ 67P(h factorial(k-1)*sqrt(variance));
1oj7R7 end
#B`"B if mod(N,2)==1;
j=dHgnVvj W=0:N-1; k=exp(-i*alpha*W); D=diag(k);
%~^R Iwm else
p5)A"p8"9, W=0:N-2; W=cat(2,W,[N]); k=exp(-i*alpha*W); D=diag(k);
3'u%[bx
E end
)/bt/,M&} FF=Ts*HH*D*HH'*2;
^o:0 Y}v= % Reference:
gl.P#7X % by 平先军.一种新的分数阶傅立叶变换快速算法.电子学报.
/
)5B % 2001(3),Vol.29:406-408.
