Optimal Relay Precoding for Two-Hop AF Transmission and Performance Analysis over Rayleigh-Fading Channels

Author

Fu, Youhua ; Yang, Luxi ; Zhu, Wei-Ping ; Liu, Chen

Author_Institution

Key Lab. of Broadband Wireless Commun. & Sensor Network Technol., Nanjing Univ. of Posts & Telecommun., Nanjing, China

Volume

59

Issue

11

fYear

2011

fDate

11/1/2011 12:00:00 AM

Firstpage

3072

Lastpage

3079

Abstract

In this paper, we first derive an optimal precoder for amplify-and-forward (AF) multiple-antenna relay systems with single-antenna source and destination terminals by maximizing the output signal-to-noise ratio (SNR). Then, the resulting maximum SNR expression and its approximation at high transmission SNR are analyzed to obtain their statistical properties for independently identically distributed (i.i.d.) Rayleigh fading channels. Based on the properties of the approximate maximum SNR, the average symbol error probability (ASEP) is investigated, leading to an explicit diversity order and array gain. The ergodic achievable rate is also studied, giving a tight closed-form upper bound. The theoretical analysis is finally validated by Monte Carlo simulations.

Keywords

Monte Carlo methods; Rayleigh channels; amplify and forward communication; antenna arrays; approximation theory; array signal processing; channel coding; error statistics; Monte Carlo simulation; Rayleigh fading channel; amplify-and-forward multiple antenna relay system; array gain; average symbol error probability; destination terminal; diversity order; ergodic achievable rate; high transmission SNR expression; optimal relay precoding; performance analysis; signal-to-noise ratio; single antenna source; statistical property; tight closed-form upper bound; two hop AF transmission; Approximation methods; Error probability; Multiple antennas; Performance analysis; Relays; Signal to noise ratio; Amplify-and-forward (AF); Rayleigh fading; ergodic achievable rate; error analysis; multiple-antenna relay networks;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2011.082911.110042

Filename

6085848