MUSIC Algorithm for signal reconstruction

Dear All.

I have two signal (f1(time),f1(time)), This two signals are resulted from two sensors positionned on a circle to observe the vibration of that element once he cross each sensor during rotation.

Now I would like to use the MUSIC algorithm to sum the two signal in ordre to have the approximation of vibration amplitude and frequency in all the rotation path.

Any one can explain please the general idea behind it so I can start working on that on my own.