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。
IBC
P6[ [(5;jUmF@ function FF=frft_PXJ(N,alpha);
N0sf
V %matrix
r @H<@Vuc % FF is the kernel matrix of fractional Fourier transform
.-' % \copyright: zjliu
oJUVW"X6 % Author's email:
zjliu2001@163.com b"t!nfgo Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts;
Ja| ! fT variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t;
hJ>{`T w for k=3:N;
R>To
L HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2);
T#Qn\ 8 end
eR D?O HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2);
Z [yQKy for k=2:N;
"6lf~%R" HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*...
q[nX<tO factorial(k-1)*sqrt(variance));
C+cSy'VIK! end
d3+pS\&IX? if mod(N,2)==1;
~C{d2i W=0:N-1; k=exp(-i*alpha*W); D=diag(k);
Lf&p2p ?~c else
uR| Jn)/m( W=0:N-2; W=cat(2,W,[N]); k=exp(-i*alpha*W); D=diag(k);
-wy$ ?Ha end
m\__F l FF=Ts*HH*D*HH'*2;
.ZFs+8qU> % Reference:
gd R wh % by 平先军.一种新的分数阶傅立叶变换快速算法.电子学报.
X5cl'J(j9 % 2001(3),Vol.29:406-408.
