Artificial immune algorithm based signal reconstruction for compressive sensing

Abstract

The core of compressive sensing, i.e., signal reconstruction, is a constraint of signal sparsity problem, which can be implemented by l0 norm minimization. But l0 norm minimization requires exhaustively listing all possibility of the original signals, which is an NP-hard problem to achieve difficultly by traditional algorithm.This paper proposes a signal reconstruction algorithm based on artificial immune algorithm, which can solve l0 norm minimization directly. It has been proved through numerical simulations that performance of signal reconstruction and photo-acoustic image reconstruction based on the proposed method is superior to that of OMP algorithm.