A Unified Discretization Approach to Compute-Forward: From Discrete to Continuous Inputs
Por:
Pastore A., Lim S.H., Feng C., Nazer B., Gastpar M.
Publicada:
1 ene 2023
Ahead of Print:
1 ene 2022
Resumen:
Compute-Forward is a coding technique that enables receiver(s) in a network to directly decode one or more linear combinations of the transmitted codewords. Initial efforts focused on Gaussian channels and derived achievable rate regions via nested lattice codes and single-user (lattice) decoding as well as sequential (lattice) decoding. Recently, these results have been generalized to discrete memoryless channels via nested linear codes and joint typicality coding, culminating in a simultaneous-decoding rate region for recovering one or more linear combinations from K users. Using a discretization approach, this paper translates this result into a simultaneous-decoding rate region for a wide class of continuous memoryless channels, including the important special case of Gaussian channels. Additionally, this paper derives a single, unified expression for both discrete and continuous rate regions via an algebraic generalization of R & eacute;nyi's information dimension.
Filiaciones:
Pastore A.:
Centre Tecnolò
Ctr Tecnol&x00F2, Telecomunicac Catalunya CTTC CERCA g, Castelldefels, Spain
Lim S.H.:
School of Information Sciences, Hallym University, Chuncheon, Korea
Hallym Univ, Sch Informat Sci, Chunchon, South Korea
Feng C.:
School of Engineering, University of British Columbia, Kelowna, BC, Canada
Univ British Columbia, Sch Engn, Kelowna, BC, Canada
Nazer B.:
Department of Electrical and Computer Engineering, Boston University, Boston, MA, USA
Boston Univ, Dept Elect & Comp Engn, Boston, MA USA
Gastpar M.:
School of Computer and Communication Sciences, Ecole Polytechnique Fé
Ecole Polytech Fed, Sch Comp & Commun Sci, CH-1015 Lausanne, Switzerland
Centre Tecnològic de Telecomunicacions de Catalunya (CTTC/CERCA), Castelldefels, 08860, Spain
School of Information Sciences, Hallym University, Chuncheon, 24252, South Korea
School of Engineering, The University of British Columbia, Kelowna, V1V 1V7, BC, Canada
Department of Electrical and Computer Engineering, Boston University, Boston, 02215, MA, United States
School of Computer and Communication Sciences, Ecole Polytechnique Fédérale, Lausanne, 1015, Switzerland
Green Submitted, All Open Access; Green Open Access
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