| 我是菜鸟 |
2008-12-02 10:26 |
实现分数傅立叶变换的matlab程序
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。 #WufZ18#
z WIeHIt
function FF=frft_PXJ(N,alpha); V(mn yI
%matrix ek)Xr p:2
% FF is the kernel matrix of fractional Fourier transform XDLEVSly7
% \copyright: zjliu 40K2uT{cq
% Author's email: zjliu2001@163.com 2)\vj5<~$
Ts=sqrt(2*pi/N); t=-(N-1)/2:(N-1)/2; t=t'; t=t*Ts; 7 g6RiH}
variance=N/2/pi; HH=zeros(N); HH(:,1)=1; HH(:,2)=2*t; [7W(NeMk
for k=3:N; 1D{#rA.X
HH(:,k)=HH(:,k-1).*t*2-2*(k-2)*HH(:,k-2); d6.}.*7Whc
end kx{!b3 "
HH(:,1)=1/sqrt(sqrt(variance))*HH(:,1).*exp(-t.*t/2); P5URvEnz:
for k=2:N; kRot7-7I|
HH(:,k)=exp(-t.*t/2).*HH(:,k)/sqrt(2.^(k-1)*... t26ij`V
factorial(k-1)*sqrt(variance)); nl@E[yA9[
end ') o0O9/;
if mod(N,2)==1; P s#>y&
W=0:N-1; k=exp(-i*alpha*W); D=diag(k); c8ZCs?
else ,w `~K:b.
W=0:N-2; W=cat(2,W,[N]); k=exp(-i*alpha*W); D=diag(k); G5c7:iGm/c
end NWKi
()nA%
FF=Ts*HH*D*HH'*2; r!K|E95oj9
% Reference: M|%c(K#E,3
% by 平先军.一种新的分数阶傅立叶变换快速算法.电子学报. *not. 2+
% 2001(3),Vol.29:406-408.
|
|