Compressive sensing(CS)is a novel signal sampling theory under the condition that the signal is sparse or compressible.It has the ability of compressing a signal during the process of sampling.Reconstruction algorithm is one of the key parts in compressive sensing,and it is of great significance to verify the sampling accuracy.In this paper,properties of the existing reconstruction algorithms are firstly analyzed.And then a new variable step size adaptive matching pursuit(VssAMP)algorithm based on greedy pu...