MATLAB What is the Expectation Value of (X'*X)^-1 in MATLAB for Signal Constellations?

AI Thread Summary
The discussion focuses on replacing the inverse matrix (X'*X)^-1 with its expectation value in MATLAB, specifically using the formula E{(X'*X)^-1} = E{|1/Xk|^2}I. The user seeks guidance on how to implement this expectation value in MATLAB, noting that X'*X and its inverse are diagonal matrices. The elements of matrix X are derived from QPSK symbols, with the assumption of uniform probability across all constellation points. The user expresses a need for assistance, indicating that previous attempts to get help have been unsuccessful.
florenti
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Hi,

as I am new in Matlab, so I need your help.

I want to replace the following inverse matrix (X'*X)^-1 with its expectation value:

E{(X'*X)^-1} = E{|1/Xk|^2}I

X'*X and (X'*X)^-1 is a diagonal matrix. Could anyone give me an Idea how to write it in MATLAB this expectation value. The elements of a matrix X are composed by QPSK symbols, or 16-QAM, or 64-QAM. Assume for now QPSK.

Assuming the same
signal constellation on all tones and equal probability on all constellation points.

Thanks in advande.
 
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