Zero-rate Reliability Function for Mismatched Decoding

被引:1
作者
Bondaschi, Marco [1 ]
Guillen i Fabregas, Albert [2 ,3 ,4 ]
Dalai, Marco [5 ]
机构
[1] Ecole Polytech Fed Lausanne, Lausanne, Switzerland
[2] ICREA, Barcelona, Spain
[3] Univ Pompeu Fabra, Barcelona, Spain
[4] Univ Cambridge, Cambridge, England
[5] Univ Brescia, Brescia, Italy
来源
2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT) | 2021年
基金
欧洲研究理事会;
关键词
INFORMATION RATES; EXPONENTS;
D O I
10.1109/ISIT45174.2021.9517804
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We derive an upper bound on the reliability function of mismatched decoding for zero-rate codes. The bound is based on a result by Komlos that shows the existence of a subcode with certain symmetry properties. The bound is shown to coincide with the expurgated exponent at rate zero for a broad family of channel and decoding metric pairs. A full version of this paper is accessible at: https://arxiv.org/pdf/2101.10238.pdf
引用
收藏
页码:1142 / 1146
页数:5
相关论文
共 18 条
  • [1] [Anonymous], 2011, INFORM THEORY CODING, DOI DOI 10.1017/CBO9780511921889
  • [2] [Anonymous], 2012, ELEMENTS INFORM THEO
  • [3] New Approach to Estimation of the Decoding Error Probability
    V. M. Blinovsky
    [J]. Problems of Information Transmission, 2002, 38 (1) : 16 - 19
  • [4] CHANNEL CAPACITY FOR A GIVEN DECODING METRIC
    CSISZAR, I
    NARAYAN, P
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1995, 41 (01) : 35 - 43
  • [5] Diestel R, 2017, GRAPH THEORY, V173, P2, DOI DOI 10.1007/978-3-662-53622-3
  • [6] Fischer T. R. M., 1978, Trans. 8th Prag. Conf. Inform. Theory, P211
  • [7] A Sphere-Packing Exponent for Mismatched Decoding
    Kangarshahi, Ehsan Asadi
    Guillen i Fabregas, Albert
    [J]. 2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2021, : 1136 - 1141
  • [8] A Single-Letter Upper Bound to the Mismatch Capacity
    Kangarshahi, Ehsan Asadi
    Guillen i Fabregas, Albert
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, 67 (04) : 2013 - 2033
  • [9] KAPLAN G, 1993, AEU-ARCH ELEKTRON UB, V47, P228
  • [10] A STRANGE PIGEON-HOLE PRINCIPLE
    KOMLOS, JN
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1990, 7 (02): : 107 - 113