Performance bounds for space-time trellis codes

We derive the union bound for space-time trellis codes over quasi-static fading channels. We first observe that the standard approach for evaluating the union bound yields very loose, in fact divergent, bounds over the quasi-static fading channel. We then develop a method for obtaining a tight bound...

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Bibliographic Details
Published in:IEEE transactions on information theory 2003-09, Vol.49 (9), p.2134-2140
Main Authors: Stefanov, A., Duman, T.M.
Format: Article
Language:English
Subjects:
Antennas
Channels
Convolutional codes
Correlation
Design optimization
Error probability
Errors
Fading
Guidelines
Interference
MIMO
Multimedia communication
Rayleigh channels
Receiving antennas
Trellis codes
Unions
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Summary:We derive the union bound for space-time trellis codes over quasi-static fading channels. We first observe that the standard approach for evaluating the union bound yields very loose, in fact divergent, bounds over the quasi-static fading channel. We then develop a method for obtaining a tight bound on the error probability. We derive the union bound by performing expurgation of the standard union bound. In addition, we limit the conditional union bound before averaging over the fading process. We demonstrate that this approach provides a tight bound on the error probability of space-time codes. The bounds can be used for the case when the fading coefficients among different transmit/receive antenna pairs are correlated as well. We present several examples of the bounds to illustrate their usefulness.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2003.815773