Achievable Degrees of Freedom Region of the MIMO Relay Networks using\n the Detour Schemes

2013/07/02 by Ahmed A. Zewail, Mohammed Nafie, Zewail, Ahmed A. +8
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Antenna Design and Analysis #Antenna Design and Optimization #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques

paper · pdf · doi:10.48550/arxiv.1307.0685

openalex publication_date 2013/07/02 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the degrees of freedom (DoF) of the MIMO relay\nnetworks. We start with a general Y channel, where each user has M_i antennas\nand aims to exchange messages with the other two users via a relay equipped\nwith N antennas. Then, we extend our work to a general 4-user MIMO relay\nnetwork. Unlike most previous work which focused on the total DoF of the\nnetwork, our aim here is to characterize the achievable DoF region as well. We\ndevelop an outer bound on the DoF region based on the notion of one sided\ngenie. Then, we define a new achievable region using the Signal Space Alignment\n(SSA) and the Detour Schemes. Our achievable scheme achieves the upper bound\nfor certain conditions relating M_i's and N.\n

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