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Spectral reconstruction of signals from periodic nonuniform subsampling based on a Nyquist folding scheme
Kaili Jiang1, Jun Zhu1, Bin Tang1
1School of Electronic Engineering, University of Electronic Science and Technology of China, Qingshuihe Campus, No.2006, Xiyuan Ave, West Hi-Tech Zone, Chengdu, Sichuan China.
Abstract:
Periodic nonuniform sampling occurs in many applications, and the Nyquist folding receiver (NYFR) is an efficient, low complexity, and broadband spectrum sensing architecture. In this paper, we first derive that the radio frequency (RF) sample clock function of NYFR is periodic nonuniform. Then, the classical results of periodic nonuniform sampling are applied to NYFR. We extend the spectral reconstruction algorithm of time series decomposed model to the subsampling case by using the spectrum characteristics of NYFR. The subsampling case is common for broadband spectrum surveillance. Finally, we take example for a LFM signal under large bandwidth to verify the proposed algorithm and compare the spectral reconstruction algorithm with orthogonal matching pursuit (OMP) algorithm.
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