Exact Analysis of the Piecewise Linear Combiner for Decode and Forward Cooperation with Three Relays

Author

Jain, Abhijeet ; Sharma, G.V.V. ; Desai, Uday B. ; Merchant, S.N.

Author_Institution

MarketRx, Gurgaon, India

Volume

10

Issue

8

fYear

2011

fDate

8/1/2011 12:00:00 AM

Firstpage

2461

Lastpage

2467

Abstract

Exact expressions are obtained for the bit error rate (BER) for coherent and noncoherent decode and forward (DF) cooperative systems with upto three relays between the source and destination. The piecewise linear (PL) combiner is employed at the receiver. BER analysis is done using a contour integral approach for evaluating the Gil-Pelaez integral involving the characteristic function (CF) of the decision variable. This removes restrictions on relay location, imposed by the direct approach. Simulation results are provided to support the analysis and the relay diversity gain is demonstrated through BER plots.

Keywords

cooperative communication; decode and forward communication; diversity reception; error statistics; integral equations; relays; BER analysis; BER plots; DF cooperative systems; Gil-Pelaez integral; PL combiner; bit error rate; characteristic function; contour integral approach; decision variable; decode and forward cooperation; exact analysis; noncoherent decode and forward cooperative systems; piecewise linear combiner; relay diversity gain; relay location; relays; Binary phase shift keying; Bit error rate; Cooperative systems; Diversity reception; Relays; Wireless communication; Cooperative diversity; DF; Gil-Pelaez; PL; residue theorem;

fLanguage

English

Journal_Title

Wireless Communications, IEEE Transactions on

Publisher

ieee

ISSN

1536-1276

Type

jour

DOI

10.1109/TWC.2011.062011.110037

Filename

5934682