Exact BER analysis of distributed alamouti's code for cooperative diversity networks

We analyze the bit-error rate (BER) performance of the distributed Alamouti's code for cooperative diversity networks consisting of a source, two relays and a destination node over Rayleigh fading channels. It is assumed that the relays adopt the amplify-and-forward protocol. Firstly, assuming...

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Bibliographic Details
Published in:IEEE transactions on communications 2009-08, Vol.57 (8), p.2380-2390
Main Authors: Ju, M., Song, H.-K., Kim, I.-M.
Format: Article
Language:English
Subjects:
Access methods and protocols, osi model
Amplify-and-forward protocol
Amplitude modulation
Applied sciences
AWGN
Bit error rate
bit-error rate (BER)
cooperative diversity networks
distributed Alamouti's code
Diversity methods
Exact sciences and technology
Fading
Information, signal and communications theory
Mathematical models
MIMO
Modulation, demodulation
Performance analysis
Protocols
Quadrature amplitude modulation
Relays
series expansion of BER expression
Signal and communications theory
Studies
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Teleprocessing networks. Isdn
Transmission and modulation (techniques and equipments)
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Summary:We analyze the bit-error rate (BER) performance of the distributed Alamouti's code for cooperative diversity networks consisting of a source, two relays and a destination node over Rayleigh fading channels. It is assumed that the relays adopt the amplify-and-forward protocol. Firstly, assuming the existence of the direct path component from the source to the destination, we derive the exact BER expression in a one-integral form for M-pulse amplitude modulation (PAM) and M-quadrature amplitude modulation (QAM) constellations. We also present a series expansion of a very accurate BER approximation, which does not require any numerical calculation, and we prove this series is convergent. Secondly, considering the system where the direct path component does not exist, we obtain the exact BER expression in a one-integral form and a series expansion of the exact BER expression. Numerical results confirm that the two exact BER expressions in a one-integral form perfectly match the simulation results and the two series expressions of BER are very accurate, even with a small truncation window.
ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2009.08.070324