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。
'|@?R |i0 x`Jh NAO> function FF=frft_PXJ(N,alpha);
f7?IXDQ>! %matrix
dZ`c % FF is the kernel matrix of fractional Fourier transform
`%Dz 8Z % \copyright: zjliu
<3!Q Xc % Author's email:
zjliu2001@163.com ].HHTCD`c Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts;
si#1sdR variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t;
>b2wFo/em for k=3:N;
7~!F3WT{ HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2);
R3hyz~\x& end
/q5!p0fH* HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2);
'q\[aKEX= for k=2:N;
hj,y l& HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*...
1"f)\FPGe factorial(k-1)*sqrt(variance));
#83pitcc end
JS^!XB'! if mod(N,2)==1;
<