On the diversity order of space-time trellis codes with receive antenna selection over fast fading channels

In this paper, we study the performance of space-time trellis codes (STTCs) with receive antenna selection over fast fading channels. Specifically, we derive upper bounds on the pairwise-error probability (PEP) with antenna selection. In performing the selection, we adopt a criterion that is based o...

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Bibliographic Details
Published in:IEEE transactions on wireless communications 2006-07, Vol.5 (7), p.1579-1585, Article 1579
Main Authors: Sanei, A., Ghrayeb, A., Shayan, Y., Duman, T.M.
Format: Article
Language:English
Subjects:
Antennas
Applied sciences
Channels
Codes
Convolutional codes
Detection, estimation, filtering, equalization, prediction
Deterioration
Exact sciences and technology
Fading
Gain
Information, signal and communications theory
MIMO
Pairwise error probability
Receivers
Receiving antennas
Signal and communications theory
Signal to noise ratio
Signal, noise
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
Transmitters
Transmitting antennas
Trellis codes
Upper bound
Wireless communication
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Summary:In this paper, we study the performance of space-time trellis codes (STTCs) with receive antenna selection over fast fading channels. Specifically, we derive upper bounds on the pairwise-error probability (PEP) with antenna selection. In performing the selection, we adopt a criterion that is based on using L out of the available M receive antennas that result in maximizing the instantaneous signal-to-noise ratio (SNR) at the receiver, where L les M. We show that the diversity order resulting from antenna selection deteriorates significantly and is actually dictated by the number of selected antennas. The implication of this result is that adding more receive antennas, while maintaining the same number of selected ones, will have no impact on the diversity order, but it does, however, provide some additional coding gain. This is unlike the case for quasi-static fading channels in which the diversity order is always preserved with antenna selection when the underlying STTC is full-rank. We present numerical examples that support our analysis
ISSN:1536-1276
1558-2248
DOI:10.1109/TWC.2006.1673064