Recovery of multiband signals using group binary compressive sensing

The modulated wideband converter (MWC) is a recently proposed compressive sampling system to acquire the blind multiband signals, which we can only know the number of bands and their widths. The process of quantization is inevitable in engineer realization. In this paper, we consider the limiting case of 1-bit quantization, which preserves only the sign information of measurements, and a group binary iterative hard thresholding l_p method solving multiple measurement vector problems (M-GBIHTl_p) was proposed to recover the wideband signals under MWC system. The proposed algorithm utilizes the group sparsity of recovered signal, of which the nonzero locations are piecewise together. Experiments show that the proposed algorithm achieve higher reconstruction probability than the existed simultaneous binary iterative hard thresholding I2 norm (SBIHTI2) algorithm, particularly in low signal to noise ratio (SNR).