Newbie: ploting Rectangular Signals and apply Grahm-Schmidt procedure??

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Usman Ali
Usman Ali 2014-2-3
编辑： Usman Ali 2014-2-6
Dear Experts, I would like to work on Gram-Schmidt Orthognolization Procedure for given signals in matlab
. steps are 1. define and plot the above signals. 2. Obtain Signal Energies 3. find set of orthonormal functions 4. vector representation of the signals
I have obtained the analytical solution for it but would any one be kind enough to help me write the code for it in matlab??
I shall be very much thankful

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Wayne King
Wayne King 2014-2-3
编辑：Wayne King 2014-2-3
Presumably you have these as N-dimensional vectors in the MATLAB workspace. Place those vectors as columns of a matrix and us qr().
A = [1 1 0; 1 0 1; 0 1 1];
% columns of A are your signals
[Q,R] = qr(A);
Look at the matrix, Q.
norm(Q(:,1),2) % for example
dot(Q(:,1),Q(:,2)) % for example
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Usman Ali
Usman Ali 2014-2-4
编辑：Usman Ali 2014-2-6
what confuses me is that from analytic solution I find 3 basis that are scalar values. in this case Q is a 3x3 matrix. I am confused which values to consider for basis function.
Matt J
Matt J 2014-2-4
编辑：Matt J 2014-2-4
They constitute the Gram-Schmidt procedure applied to the columns of A.
Or rather, a numerically stable alternative to Gram-Schmidt.

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