Resource-Efficient Active Compressive Sensing Using Analog Beamforming and Sparse Arrays

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Abstract

This paper studies active sensing using sparse arrays and compressive measurements acquired by a fully analog beam-forming architecture. We consider a spatially sparse angular gridded model, where the unknown coherent sparse scattering coefficients are recovered by solving a convex optimization problem. We demonstrate that the number of resolvable scatterers is determined by the number of virtual sum co-array elements. Hence, properly designed sparse arrays can resolve vastly more scatterers than the number of physical sensors. We also quantify the sample complexity of the recovery procedure. Specifically, using well-known results form compressive sensing, we show that the lower bound on the number of independent measurements required for successful recovery can be achieved within a polylog factor. This holds even in the case of an extremely resource-efficient sparse array with a fully analog transceiver employing one-bit phase shifters.

Original languageEnglish
Title of host publication55th Asilomar Conference on Signals, Systems and Computers, ACSSC 2021
EditorsMichael B. Matthews
PublisherIEEE
Pages1640-1645
Number of pages6
ISBN (Electronic)978-1-6654-5828-3
DOIs
Publication statusPublished - 4 Mar 2022
MoE publication typeA4 Conference publication
EventAsilomar Conference on Signals, Systems & Computers - Virtual, Pacific Grove, United States
Duration: 31 Oct 20213 Nov 2021
Conference number: 55

Publication series

NameAsilomar Conference on Signals, Systems and Computers proceedings
Volume2021-October
ISSN (Print)1058-6393
ISSN (Electronic)2576-2303

Conference

ConferenceAsilomar Conference on Signals, Systems & Computers
Abbreviated titleACSSC
Country/TerritoryUnited States
CityPacific Grove
Period31/10/202103/11/2021

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