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Hardware-Limited Task-Based Quantization

Shlezinger, N; Eldar, YC; Rodrigues, MRD; (2019) Hardware-Limited Task-Based Quantization. IEEE Transactions on Signal Processing , 67 (20) pp. 5223-5238. 10.1109/TSP.2019.2935864. Green open access

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Abstract

Quantization plays a critical role in digital signal processing systems. Quantizers are typically designed to obtain an accurate digital representation of the input signal, operating independently of the system task, and are commonly implemented using serial scalar analog-to-digital converters (ADCs). In this work, we study hardware-limited task-based quantization, where a system utilizing a serial scalar ADC is designed to provide a suitable representation in order to allow the recovery of a parameter vector underlying the input signal. We propose hardware-limited task-based quantization systems for a fixed and finite quantization resolution, and characterize their achievable distortion. We then apply the analysis to the practical setups of channel estimation and eigen-spectrum recovery from quantized measurements. Our results illustrate that properly designed hardware-limited systems can approach the optimal performance achievable with vector quantizers, and that by taking the underlying task into account, the quantization error can be made negligible with a relatively small number of bits.

Type: Article
Title: Hardware-Limited Task-Based Quantization
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/TSP.2019.2935864
Publisher version: https://doi.org/10.1109/TSP.2019.2935864
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10085350
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