Separation and reconstruction of the rigid body and micro-Doppler signal in ISAR part II – statistical analysis

Micro-Doppler effect corresponds to non-stationary components in the time-frequency domain, while the rigid body can be considered as a stationary signal during the processing time. This property is used in the first part of the study to present the method for separation recovery based on the compressive sensing theory. Recovery bounds are based on the restricted isometry property or the coherence and spark analysis. Their calculation is a computationally difficult (Non-deterministic Polynomial-time (NP) hard) problem. These bounds also produce very pessimistic results. It is the reason to consider the statistical analysis of the reconstruction results. The statistical approach is presented in this part of the study and illustrated by examples, including a detailed case study example.