Nobody Expects a Differential Equation: Minimum Energy-Per-Bit for the Gaussian Relay Channel with Rank-1 Linear Relaying

Autor:	Kosut, Oliver, Effros, Michelle, Langberg, Michael
Rok vydání:	2024
Předmět:	Computer Science - Information Theory
Druh dokumentu:	Working Paper
Popis:	Motivated by the design of low-complexity low-power coding solutions for the Gaussian relay channel, this work presents an upper bound on the minimum energy-per-bit achievable on the Gaussian relay channel using rank-1 linear relaying. Our study addresses high-dimensional relay codes and presents bounds that outperform prior known bounds using 2-dimensional schemes. A novelty of our analysis ties the optimization problem at hand to the solution of a certain differential equation which, in turn, leads to a low energy-per-bit achievable scheme. Comment: Submitted to the IEEE International Symposium on Information Theory, 2024. 13 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.15495 Zobrazit plný text záznamu View this record from Arxiv