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。
e6E?t[hEeS (JUZC P/ \ function FF=frft_PXJ(N,alpha);
[ "3\eFg %matrix
b2C`g]ibQ % FF is the kernel matrix of fractional Fourier transform
lg$zGa? % \copyright: zjliu
h-#1U3d % Author's email:
zjliu2001@163.com fv!?Ga( Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts;
o-C#|t3hH variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t;
x/
*-P
b-_ for k=3:N;
\%0n}.A HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2);
?r=jF)C<' end
HKDID[d0 HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2);
B<?w h0 for k=2:N;
UUc8 *yU)
HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*...
Lel|,mc`k2 factorial(k-1)*sqrt(variance));
E"~2./+rd end
#,d I$gY if mod(N,2)==1;
=u[k1s? W=0:N-1; k=exp(-i*alpha*W); D=diag(k);
72W
s
K" else
3qL>-%):* W=0:N-2; W=cat(2,W,[N]); k=exp(-i*alpha*W); D=diag(k);
IZ/m4~ end
nkfZiyx FF=Ts*HH*D*HH'*2;
G\de2Q"d:O % Reference:
E>|: D % by 平先军.一种新的分数阶傅立叶变换快速算法.电子学报.
J aTp} # % 2001(3),Vol.29:406-408.
