I have raw data for Synthetic Aperture Radar which consists from 800 by 702 matrix and I want to use Compressive sensing for the reconstruction of the of the targets. so the best number of measurement should I choose.
I think you should be looking at the coherence between columns of the sensing matrix.
In other words look at the maximum correlation between columns, i.e. max_{i,j} (a_i^H a_j) where a_i is the i^th column of the sensing matrix A. The lower this metric is, the better you could resolve.