Zero-Delay Source-Channel Coding with a Low-Resolution ADC Front End

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Title: Zero-Delay Source-Channel Coding with a Low-Resolution ADC Front End
Authors: Varasteh, M
Rassouli, B
Simeone, O
Gunduz, D
Item Type: Journal Article
Abstract: Motivated by the practical constraints arising in emerging sensor network and Internet-of-Things (IoT) applications, the zero-delay transmission of a Gaussian measurement over a real single-input multiple-output (SIMO) additive white Gaussian noise (AWGN) channel is studied with a low-resolution analog-to-digital converter (ADC) front end. Joint optimization of the encoder and the decoder mapping is tackled under both the mean squared error (MSE) distortion and the distortion outage probability (DOP) criteria, with an average power constraint on the channel input. Optimal encoder and decoder mappings are identified for a one-bit ADC front end under both criteria. For the MSE distortion, the optimal encoder mapping is shown to be non-linear in general, while it tends to a linear encoder in the low signal-to-noise ratio (SNR) regime, and to an antipodal digital encoder in the high SNR regime. This is in contrast to the optimality of linear encoding at all SNR values in the presence of a full-precision front end. For the DOP criterion, it is shown that the optimal encoder mapping is piecewise constant and can take only two opposite values when it is non-zero. For both the MSE distortion and the DOP criteria, necessary optimality conditions are then derived for K-level ADC front ends as well as front ends with multiple one-bit ADCs. These conditions are used to obtain numerically optimized solutions. Extensive numerical results are also provided in order to gain insights into the structure of the optimal encoding and decoding mappings.
Issue Date: 26-Jun-2017
Date of Acceptance: 16-May-2017
ISSN: 0018-9448
Publisher: Institute of Electrical and Electronics Engineers
Start Page: 1241
End Page: 1261
Journal / Book Title: IEEE Transactions on Information Theory
Volume: 64
Issue: 2
Copyright Statement: © 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Sponsor/Funder: British Council (UK)
Commission of the European Communities
Funder's Grant Number: 173605884
Keywords: Science & Technology
Computer Science, Information Systems
Engineering, Electrical & Electronic
Computer Science
Analog-to-digital converter
distortion outage probability
joint source channel coding
mean squared error distortion
zero-delay transmission
0801 Artificial Intelligence And Image Processing
0906 Electrical And Electronic Engineering
1005 Communications Technologies
Networking & Telecommunications
Publication Status: Published
Appears in Collections:Faculty of Engineering
Electrical and Electronic Engineering

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