An alternative recovery algorithm based on SL0 for multiband signals

Multiband signal is a typical signal in the realm of modern communication, whose spectrum is the sum of several narrow band signals in frequency domain. Modulated Wideband Converter (MWC) system, which is based on the emerging theory of Compressed Sensing (CS), can sample multiband signals at a sub-Nyquist rate without carrier frequencies as a precondition. In this paper, a novel recovery strategy for MWC is proposed, exploiting Simultaneous Smoothed ℓ⁰ Norm (SL0), to reconstruct original signal from sub-Nyquist sampling data. This method approximates ℓ⁰ norm using a continuous function, which can improve the reconstruction accuracy. Simulation results demonstrate that the proposed algorithm is superior to the original Simultaneous Orthogonal Matching Pursuit (SOMP) algorithm.