关键词: 认知无线电, 压缩感知, 协同频谱检测, 匹配追踪

Abstract: This paper proposes a Simultaneous Advanced Sparsity Adaptive Matching Pursuit algorithm, to improve the speed and accuracy of reconstruction for joint sparse signals reconstruction with unknown sparsity. The algorithm takes full advantage of both intra-and inter-signal correlation. A method based on atom matching test is used to get an initial estimation of sparsity, and then high value of the step size is used to realize the coarse approach of signal sparse. In the later step iterations smaller value of step size decided by recovery progress is used to achieve the precise approach of signal sparse. Experiment results show that the proposed algorithm can get better reconstruction performances in probability of detection and recovery time compared with SOMP and SSAMP under the same test conditions.

Key words: cognitive radio, compressed sensing, collaborative spectrum detection, Matching Pursuit（MP）