vix.ing · top · new · best · stats · spec

The Gelfand-Pinsker Channel: Strong Converse and Upper Bound for the Reliability Function

2009/10/04 by Himanshu Tyagi, Tyagi, Himanshu, Prakash Narayan +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · #Advanced Memory and Neural Computing #DNA and Biological Computing #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques

paper · pdf · doi:10.48550/arxiv.0910.0653

openalex publication_date 2009/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a Gelfand-Pinsker discrete memoryless channel (DMC) model and provide a strong converse for its capacity. The strong converse is then used to obtain an upper bound on the reliability function. Instrumental in our proofs is a new technical lemma which provides an upper bound for the rate of codes with codewords that are conditionally typical over large message dependent subsets of a typical set of state sequences. This technical result is a nonstraightforward analog of a known result for a DMC without states that provides an upper bound on the rate of a good code with codewords of a fixed type (to be found in, for instance, the Csiszar-Korner book).

Cited by

Related