Abstract: Signal reconstruction algorithm plays an important part in the theory of compressive sensing and determines the reconstruction quality of compressive sensing.In this paper,based on the subspace pursuit(SP) algorithm,the signal is reconstructed after sparse representation and compression by the measurement matrix.Theoretical analysis and experimental results show that subspace pursuit algorithm can maintain good effect of signal reconstruction at higher compression ratio.

Key words: subspace pursuit, sparse signal, signal reconstruction, Nyquist sampling