Zero-delay source-channel coding with a one-bit ADC front end and correlated receiver side information
Author(s)
Varasteh, M
Rassouli, B
Simeone, O
Gunduz, D
Type
Journal Article
Abstract
Zero-delay transmission of a Gaussian source over an additive white Gaussian noise (AWGN) channel is considered with a one-bit analog-to-digital converter (ADC) front end and a correlated side information at the receiver. The design of the optimal encoder and decoder is studied for two different performance criteria, namely the mean squared error (MSE) distortion and the distortion outage probability (DOP), under an average power constraint on the channel input. For both criteria, necessary optimality conditions for the encoder and the decoder are derived, which are then used to numerically obtain encoder and decoder mappings that satisfy these conditions. Using these conditions, it is observed that the numerically optimized encoder (NOE) under the MSE distortion criterion is periodic, and its period increases with the correlation between the source and the receiver side information. For the DOP, it is instead seen that the NOE mappings periodically acquire positive and negative values, which decay to zero with increasing source magnitude, and the interval over which the mapping takes non-zero values becomes wider with the correlation between the source and the side information. Finally, inspired by the mentioned properties of the NOE mappings, parameterized encoder mappings with a small number of degrees of freedom are proposed for both distortion criteria, and their performance is compared with that of the NOE mappings.
Date Issued
2017-12-01
Date Acceptance
2017-08-19
Citation
IEEE Transactions on Communications, 2017, 65 (12), pp.5429-5444
ISSN
0090-6778
Publisher
Institute of Electrical and Electronics Engineers
Start Page
5429
End Page
5444
Journal / Book Title
IEEE Transactions on Communications
Volume
65
Issue
12
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
British Council (UK)
Commission of the European Communities
Grant Number
173605884
677854
Subjects
Science & Technology
Technology
Engineering, Electrical & Electronic
Telecommunications
Engineering
Joint source channel coding
zero-delay transmission
mean squared error distortion
distortion outage probability
1-bit ADC
correlated side information
COMMUNICATION
cs.IT
cs.IT
math.IT
0906 Electrical and Electronic Engineering
1005 Communications Technologies
Publication Status
Published
Date Publish Online
2017-08-31