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From: Antony on 26 Jul 2010 23:51 Greg Heath <heath(a)alumni.brown.edu> wrote in message <6d745488-d2d1-49c8-b869-f6048ed86580(a)s9g2000yqd.googlegroups.com>... > On Jul 26, 12:18 am, "Antony " <mutang.b...(a)gmail.com> wrote: > > Dear all, I wonder when the following Fourier Transform of a transposed matrix is valid: > > (F(a))* = F(a') > > where F is the Fourier transformation, a is a matrix, * means the complex conjugate and ' means the transpose. > > In MATLAB > > 1. fft(a) transforms the columns of a > 2. * means scalar or matrix multiplication > 3. conj(a) is the complex conjugate > 4. transpose(a) or a.' is the transpose > 3. a' is the complex conjugate transpose > > Experiment with > > a = rand(2,3)+i*rand(2,3) > > See wikipedia for Fourier transform properties > > Hope this helps. > > Greg Thank you, guys in this board. The problem has been partially solved now through verification in MATLAB. So thanks a lot to MATLAB, *-*. |