TU4.R5.4

Nearest Neighbor Decoding for a Class of Compound Channels

Francesc Molina, Universitat Pompeu Fabra, Spain; Priyanka Patel, Albert Guillén i Fàbregas, University of Cambridge, United Kingdom
Session:
Mismatched and universal decoding
Track:
9: Shannon Theory
Location:
Omikron I
Presentation Time:
Tue, 9 Jul, 17:05 - 17:25
Session Chair:
Francesc Molina, Pompeu Fabra University
Abstract
We study Gaussian i.i.d. codebooks and nearest neighbor decoding over continuous-alphabet channels. We define a class of compound channels that are within a small radius relative entropy ball centered at the nearest neighbor decoding metric. We derive approximations to the worst-case achievable rates and find the penalty terms proportional to the square root of the ball radius.
Session TU4.R5
TU4.R5.1: Pre-Decoder Processing Functions for a DMC with Mismatched Decoding
Jonathan Solel, Anelia Somekh-Baruch, Bar-Ilan University, Israel
TU4.R5.2: On Universal Decoding over Memoryless Channels with the Krichevsky–Trofimov Estimator
Henrique Miyamoto, Sheng Yang, Université Paris-Saclay, France
TU4.R5.3: A Double Maximization Approach for Optimizing the LM Rate of Mismatched Decoding
Lingyi Chen, Shitong Wu, Xinwei Li, Tsinghua University, China; Huihui Wu, University of Electronic Science and Technology of China, China; Hao Wu, Tsinghua University, China; Wenyi Zhang, University of Science and Technology of China, China
TU4.R5.4: Nearest Neighbor Decoding for a Class of Compound Channels
Francesc Molina, Universitat Pompeu Fabra, Spain; Priyanka Patel, Albert Guillén i Fàbregas, University of Cambridge, United Kingdom
Resources
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