Multi-Bit Relaying Over a Tandem of Channels

We study error exponents for the problem of relaying a message over a tandem of two channels sharing the same transition law, in particular moving beyond the 1-bit setting studied in recent related works. Our main results show that the 1-hop and 2-hop exponents coincide in both of the following sett...

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Vydáno v:IEEE transactions on information theory Ročník 69; číslo 6; s. 3511 - 3524
Hlavní autoři: Ling, Yan Hao, Scarlett, Jonathan
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.06.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Channels
Decoding
Encoding
Error analysis
error exponents
Exponents
low-rate communication
Memoryless systems
Messages
Monte Carlo methods
Protocols
Relay channels
Relaying
Relays
Sufficient conditions
tandem of channels
ISSN:0018-9448, 1557-9654
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Shrnutí:We study error exponents for the problem of relaying a message over a tandem of two channels sharing the same transition law, in particular moving beyond the 1-bit setting studied in recent related works. Our main results show that the 1-hop and 2-hop exponents coincide in both of the following settings: (i) the number of messages is fixed, and the channel law satisfies a condition called pairwise reversibility, or (ii) the channel is arbitrary, and a zero-rate limit is taken from above. In addition, we provide various extensions of our results that relax the assumptions of pairwise reversibility and/or the two channels having identical transition laws, and we provide an example for which the 2-hop exponent is strictly below the 1-hop exponent.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2023.3247829