Abstract: Multiband signal is a typical signal in the realm of modern communications, 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 sub- Nyquist rate without carrier frequencies as a prior. In this paper, a novel recovery strategy for MWC is proposed, exploiting Simultaneous Smoothed Norm (SL0), to reconstruct original signal from sub-Nyquist sampling data. This method approximates norm using a continuous function, which can improve the
reconstruction accuracy. Simulation results demonstrate the proposed algorithm is superior to the original orthogonal matching pursuit (SOMP) algorithm.
Keywords: Multiband signal; Modulated wideband converter; Compressed sensing; Simultaneous SL0
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