How to implement MUSIC Algorithm for signal construction

I am working on the reconstruction of signal, this signal is obtained from 5 sensors,

so we have S1 for sensor 1, S2 for sensor 2 ,,,, S5 for sensor 5, and I have the data per time for each sensor.

I would like to have S(t) and since the MUSIC algorithm has the capacity to identify frequency I decided to use it to resolve my issue.

This the theory as I found it in the Wikepedia.

I have several question is someone had the experience and willing to help.

I know that to identify the frequency I need to plot p(f) while my main is that I could not achieved to define Un the matrix that span the noise subspace.

Answer 1

[Walter Roberson]

Are you sure you need to write it yourself?

https://www.mathworks.com/help/signal/ref/pmusic.html

https://www.mathworks.com/help/signal/ref/rootmusic.html

https://www.mathworks.com/help/phased/ug/music-super-resolution-doa-estimation.html

https://www.mathworks.com/matlabcentral/fileexchange/22112-simulation-of-music-doa-estimation-gui

[Mohammed Lamine Mekhalfia]

What I would like to know, the s(t) is the signal obtained from each sensors right?