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1、验证傅里叶变换平移性质计算时，8×8的结果，表示平移性质的相角变化系数fori=1:8forj=1:8R(i,j)=cos(2*pi*(i+j-2)/8);I(i,j)=sin(2*pi*(i+j-2)/8);endendRIR（u,v）=1.00000.70710.0000-0.7071-1.0000-0.7071-0.00000.70710.70710.0000-0.7071-1.0000-0.7071-0.00000.70711.00000.0000-0.7071-1.0000-0.7071-0.00000.70711.0000
2、0.7071-0.7071-1.0000-0.7071-0.00000.70711.00000.70710.0000-1.0000-0.7071-0.00000.70711.00000.70710.0000-0.7071-0.7071-0.00000.70711.00000.70710.0000-0.7071-1.0000-0.00000.70711.00000.70710.0000-0.7071-1.0000-0.70710.70711.00000.70710.0000-0.7071-1.0000-0.7071-0.0000I（u,
3、v）=00.70711.00000.70710.0000-0.7071-1.0000-0.70710.70711.00000.70710.0000-0.7071-1.0000-0.7071-0.00001.00000.70710.0000-0.7071-1.0000-0.7071-0.00000.70710.70710.0000-0.7071-1.0000-0.7071-0.00000.70711.00000.0000-0.7071-1.0000-0.7071-0.00000.70711.00000.7071-0.7071-1.000
4、0-0.7071-0.00000.70711.00000.70710.0000-1.0000-0.7071-0.00000.70711.00000.70710.0000-0.7071-0.7071-0.00000.70711.00000.70710.0000-0.7071-1.0000验证傅里叶变换的平移性质，相当于图中方块由B(4:6,4:6)变到B(3:5,3:5)。B=zeros(8,8);B(4:6,4:6)=1;F=fft2(B);fori=1:8forj=1:8R(i,j)=cos(2*pi*(i+j-2)/8);I(i,
5、j)=sin(2*pi*(i+j-2)/8);RR(i,j)=real(F(i,j))*R(i,j)-imag(F(i,j))*I(i,j);II(i,j)=real(F(i,j))*I(i,j)+imag(F(i,j))*R(i,j);endendFRIRRIIF=9.0000-7.24263.00001.2426-3.00001.24263.0000-7.2426-7.24265.8284-2.4142-1.00002.4142-1.0000-2.41425.82843.0000-2.41421.00000.4142-1.0000
6、0.41421.0000-2.41421.2426-1.00000.41420.1716-0.41420.17160.4142-1.0000-3.00002.4142-1.0000-0.41421.0000-0.4142-1.00002.41421.2426-1.00000.41420.1716-0.41420.17160.4142-1.00003.0000-2.41421.00000.4142-1.00000.41421.0000-2.4142-7.24265.8284-2.4142-1.00002.4142-1.0000-2.41
7、425.8284R=1.00000.70710.0000-0.7071-1.0000-0.7071-0.00000.70710.70710.0000-0.7071-1.0000-0.7071-0.00000.70711.00000.0000-0.7071-1.0000-0.7071-0.00000.70711.00000.7071-0.7071-1.0000-0.7071-0.00000.70711.00000.70710.0000-1.0000-0.7071-0.00000.70711.00000.70710.0000-0.7071
8、-0.7071-0.00000.70711.00000.70710.0000-0.7071-1.0000-0.00000.70711.00000.70710.0000-0.7071-1.0000-0.70710.7071
