Compressive sensing: Performance comparison of sparse recovery algorithms

Abstract

Spectrum sensing is an important process in cognitive radio. Spectrum sensing techniques suffer from high processing time, hardware cost, and computational complexity. To address these problems, compressive sensing has been proposed to decrease the processing time and expedite the scanning process of the radio spectrum. Selection of a suitable sparse recovery algorithm is necessary to achieve this goal. This paper provides a deep survey on these sparse recovery algorithms, classify them into categories, and compares their performances. Six algorithms from different categories were implemented and their performances compared. As comparison metrics, we used recovery error, recovery time, covariance, and phase transition diagram. The results show that techniques under Greedy category are faster, techniques of Convex and Relaxation category perform better in term of recovery error, and Bayesian based techniques are observed to have an advantageous balance of small recovery error and a short recovery time.