# Signal Space Alignment for an Encryption Message and Successive Network Code Decoding on the MIMO K-way Relay Channel - Computer Science > Information Theory

Signal Space Alignment for an Encryption Message and Successive Network Code Decoding on the MIMO K-way Relay Channel - Computer Science > Information Theory - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: This paper investigates a network information flow problem for amultiple-input multiple-output MIMO Gaussian wireless network with $K$-usersand a single intermediate relay having $M$ antennas. In this network, each userintends to convey a multicast message to all other users while receiving $K-1$independent messages from the other users via an intermediate relay. Thisnetwork information flow is termed a MIMO Gaussian $K$-way relay channel. Forthis channel, we show that $\frac{K}{2}$ degrees of freedom is achievable if$M=K-1$. To demonstrate this, we come up with an encoding and decoding strategyinspired from cryptography theory. The proposed encoding and decoding strategyinvolves a \textit{signal space alignment for an encryption message} for themultiple access phase MAC and \textit{zero forcing with successive networkcode decoding} for the broadcast BC phase. The idea of the \emph{signal spacealignment for an encryption message} is that all users cooperatively choose theprecoding vectors to transmit the message so that the relay can receive aproper encryption message with a special structure, \textit{network code chainstructure}. During the BC phase, \emph{zero forcing combined with successivenetwork code decoding} enables all users to decipher the encryption messagefrom the relay despite the fact that they all have different self-informationwhich they use as a key.

Autor: Namyoon Lee, Joohwan Chun

Fuente: https://arxiv.org/