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How to solve the problem of noise using weighted values?

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ANANTA BIJOY BHADRA
关闭： John D'Errico 2023-7-19
I have a voltage signal for 11 cycles. Each cycles has 32 samples of data. I was trying to reconstruct the signal using the following equation.I have to find the coefficients .
where is the time of the downsampled data. I tried to solve the problem by using the follwoing equation.
Where, X is the array of the coefficinets, A is the matrix at follwoing form . Y is the values of the voltage samples. is the transpose of matrix A and W is the weighted values. I tried to use the backslash command which results in x=A\Y. The results are accurate. However, I need to implement the weighted equation given in equation (2) to solve for X. I tried every command but it did not work.
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Ashutosh
Ashutosh 2023-7-6
Hey, have you tried something like:
mat = A' * W * A;
X = inv(mat) * A' * W * Y;
That is, using the inv() function of MATLAB to find the inverse?

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