Compressive sampling for linear frequency modulated signals based on Gabor frame

In this paper, the linear frequency modulated signals, which exhibit wide bandwidth in frequency domain, is studied for compressive sampling. Typically, linear frequency modulated signals are sampled under the Nyquist sampling theorem. However, due to the wide bandwidth, a high sampling rate is required to guarantee the accurate reconstruction for original signals. Based on the Gabor frame, in this paper, a new sampling system is proposed for linear frequency modulated signals to reduce the sampling rate and sample number. The sampling process is analyzed, such that the reconstruction model is established for recovering the original signals. With the simulation, it is shown that the proposed system achieves the compressive sampling and accurate reconstruction for linear frequency modulated signals.