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。
b)I-do+ qi4P(s-i function FF=frft_PXJ(N,alpha);
Xfc$M(a
K{ %matrix
Ocdy;|& % FF is the kernel matrix of fractional Fourier transform
P4[kW}R % \copyright: zjliu
,0! 2x"Q= % Author's email:
zjliu2001@163.com UGPDwgq\v Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts;
}Z"iW/?" variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t;
$.jGO! for k=3:N;
=K`.$R HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2);
iqDyE*a end
OBAO(Ke HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2);
>38>R0k35 for k=2:N;
U>PZ3 HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*...
V9oBSP'kt factorial(k-1)*sqrt(variance));
sC-o'13 end
IIR+qJ__| if mod(N,2)==1;
~qghw@Q~ W=0:N-1; k=exp(-i*alpha*W); D=diag(k);
8TP$ ?8l else
Yj&