The Convergence Analysis of Newtonized Orthogonal Matching Pursuit for Line Spectrum Estimation after Random Compression with Multiple Measurement Vectors

An upper bound on the ratio of convergence and two upper bounds on the number of iterations of multi-snapshot Newtonized orthogonal matching pursuit (MNOMP) algorithm, which aiming at dealing with the line spectrum estimation (LSE) after random compression with multiple measurement vectors (MMVs) are brought up. And numerical results are conducted to demonstrate the empirical convergence.