title: The RIP and block-RIP analysis of Nyquist folding receiver for recovering signals.
abstract: Modern radar and communication systems require the detection and parameter estimation of signal under a broadband radio frequency (RF) environment. The Nyquist folding receiver (NYFR) is an efficient analog-to-information (A2I) architecture. It can use the compressive sensing (CS) techniques to break the limitations of the analog-to-digital converter (ADC). This paper demonstrates the restricted isometry property (RIP) of the NYFR deterministically by applying the Gershgorin circle theory. And, the NYFR suffers a poor RIP for the broadband signal, which will lead the conventional CS algorithms to be invalid. So, we derive the Fourier spectrum of the broadband signal, which covered multiple Nyquist zones and received by the NYFR. Then, the broadband signal can be regarded as the block-sparse signal. And, the block CS algorithms are applied for recovering the signal based on the analysis of the block-RIP. Finally, the simulation experiments demonstrate the validity of the findings.
authors.affiliation: School of Electronic Engineering, University of Electronic Science and Technology of China, Qingshuihe Campus: No. 2006, Xiyuan Ave, West Hi-Tech Zone, Chengdu, Sichuan China.
authors.forename: Kaili
authors.identifier: 0000-0003-3478-7916
authors.initials: K
authors.lastname: Jiang
authors.affiliation: School of Electronic Engineering, University of Electronic Science and Technology of China, Qingshuihe Campus: No. 2006, Xiyuan Ave, West Hi-Tech Zone, Chengdu, Sichuan China.
authors.forename: Sujuan
authors.initials: S
authors.lastname: Chen
authors.affiliation: School of Electronic Engineering, University of Electronic Science and Technology of China, Qingshuihe Campus: No. 2006, Xiyuan Ave, West Hi-Tech Zone, Chengdu, Sichuan China.
authors.forename: Bin
authors.initials: B
authors.lastname: Tang
keywords: Block restricted isometry property; Compressive sensing; Nyquist folding receiver; Restricted isometry property; Signal reconstruction