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How to generat measurement matrix? #2

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hqleeUstc opened this issue Oct 9, 2017 · 3 comments
Open

How to generat measurement matrix? #2

hqleeUstc opened this issue Oct 9, 2017 · 3 comments

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@hqleeUstc
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When generating the measurement matrix, what is the standard deviation and mean value of the random Gaussian matrix, and what method is used to orthonormalize the matrix?
Many Thanks!

@ngcthuong
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ngcthuong commented Oct 12, 2017

To be honest, I don't know the exact answer for this source code. For compressive sensing, we often use the random function of Matlab and using an orthogonal function to orthonormalize the matrix. This way will make Phi * Phi^T becomes identity thus faster calculation. It is introduced in BCS-SPL work.

http://my.ece.msstate.edu/faculty/fowler/BCSSPL/

@y0umu
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y0umu commented Apr 18, 2019

To be honest, I don't know the exact answer for this source code. For compressive sensing, we often use the random function of Matlab and using an orthogonal function to orthonormalize the matrix. This way will make Phi * Phi^T becomes identity thus faster calculation. It is introduced in BCS-SPL work.

http://my.ece.msstate.edu/faculty/fowler/BCSSPL/

% matlab
phi = orth(randn(N, N))';
phi = phi(1:M, :);

@ngcthuong
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Orth is not necessary. BCS-SPL using orthonormal because they need it for SPL projection.

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