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A Lower Bound on the Expected Distortion of Joint Source-Channel Coding.

Authors :
Kochman, Yuval
Ordentlich, Or
Polyanskiy, Yury
Source :
IEEE Transactions on Information Theory. Aug2020, Vol. 66 Issue 8, p4722-4741. 20p.
Publication Year :
2020

Abstract

We consider the classic joint source-channel coding problem of transmitting a memoryless source over a memoryless channel. The focus of this work is on the long-standing open problem of finding the rate of convergence of the smallest attainable expected distortion to its asymptotic value, as a function of the blocklength $n$. Our main result is that in general the convergence rate is not faster than $n^{-1/2}$. In particular, we show that for the problem of transmitting i.i.d uniform bits over a binary symmetric channels with Hamming distortion, the smallest attainable distortion (bit error rate) is at least $\Omega (n^{-1/2})$ above the asymptotic value, if the “bandwidth expansion ratio” is above 1. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00189448
Volume :
66
Issue :
8
Database :
Academic Search Index
Journal :
IEEE Transactions on Information Theory
Publication Type :
Academic Journal
Accession number :
144615711
Full Text :
https://doi.org/10.1109/TIT.2020.2983148