Compression method for non-stationary signals based on compressive sensing

A new approach to compress non-stationary signals is proposed in this paper. The sparse basis of non-stationary signals is constructed at first and then compressive sensing technique is used to decrease enormously the number of samples in the process. The reconstructed signal can well approximate the original signal in time domain, frequency domain as well as the time-frequency domain. Computer simulation on linear frequency modulated (LFM) signal shows the validity of this novel method.