Signal pre-processing method suitable for compressive sensing based on frequency modulation

The sparse property of the signal to be processed is very important and directly affects the efficiency of compressive sensing. A signal pre-processing method suitable for compressive sensing is given, which is helpful to effective sensing and accurate reconstruction. Under the condition that the sparse characteristic of the signal is unknown, a frequency modulation pattern is introduced to pre-process the signal to increase the sparse proportion of the signal. Then we choose a difference matrix as the reconstruction matrix, the signal could be reconstructed accurately in the process of sparse reconstruction. Theoretical analysis and experimental results show that the proposed pre-processing method for compressive sensing is very effective and efficient.