On the Application of Modulo-ADCs for Compressed Sensing

Prasanna, D and Murthy, CR and Sriram, C (2021) On the Application of Modulo-ADCs for Compressed Sensing. In: 55th Asilomar Conference on Signals, Systems and Computers, ACSSC 2021, 31 October- 3 November 2021, Virtual, Pacific Grove, pp. 852-856.

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Abstract

Compressed sensing is an important tool for extending the capabilities of signal acquisition systems. The theoretical results available in the area generally work under the impractical assumption of the availability of measurements with infinite precision. In this paper, we consider the effect of finite dynamic range of the analog-to-digital converters (ADCs), and study the application of modulo-ADCs for compressed sensing, which counters the clipping effect by folding the signal crossing the range back to the dynamic range of ADCs via modulo arithmetic. For this setup with an additional constraint where the measurements span a given number of modulo periods, we present a convex relaxation algorithm and provide recovery guarantees. We then consider the effect of quantization, and empirically study the tradeoff between the number of modulo folds and quantization levels. We compare the NMSE and error probability performance of modulo-ADCs with traditional ADCs under saturated or scaled measurements. The simulation results show that modulo-ADCs offer the advantage of reduction in the number of bits compared to scaled measurements and better error probability compared to saturated measurements. The simulations and the recovery guarantee also provide a framework for characterizing the key tradeoffs involved, and plays an important role in the design and analysis of modulo-ADCs. © 2021 IEEE.

Item Type:	Conference Proceedings
Publication:	Conference Record - Asilomar Conference on Signals, Systems and Computers
Publisher:	IEEE Computer Society
Additional Information:	The copyright for this article belongs to IEEE Computer Society
Keywords:	Analog to digital conversion; Compressed sensing; Relaxation processes, Acquisition systems; Analog to digital converters; Compressed-Sensing; Dynamic range; Foldings; Modulo arithmetic; Modulo CS; Modulo-analog-to-digital converter; Quantisation; Signal crossing, Integer programming
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	19 May 2022 08:47
Last Modified:	19 May 2022 08:47
URI:	https://eprints.iisc.ac.in/id/eprint/71912

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