Diversity–Multiplexing Tradeoff in ISI Channels

Author

Grokop, Leonard H. ; Tse, David N C

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, CA

Volume

55

Issue

1

fYear

2009

Firstpage

109

Lastpage

135

Abstract

The optimal diversity-multiplexing tradeoff curve for the intersymbol interference (ISI) channel is computed and various equalizers are analyzed using this performance metric. Maximum-likelihood signal decoding (MLSD) and decision feedback equalization (DFE) equalizers achieve the optimal tradeoff without coding, but zero forcing (ZF) and minimum mean-square-error (MMSE) equalizers do not. However if each transmission block is ended with a period of silence lasting the coherence time of the channel, both ZF and MMSE equalizers become diversity-multiplexing optimal. This suggests that the bulk of the performance gain obtained by replacing linear decoders with computationally intensive ones such as orthogonal frequency-division multiplexing (OFDM) or Viterbi, can be realized in much simpler fashion-with a small modification to the transmit scheme.

Keywords

OFDM modulation; diversity reception; equalisers; feedback; intersymbol interference; least mean squares methods; maximum likelihood decoding; Viterbi decoders; decision feedback equalization equalizers; diversity-multiplexing tradeoff curve; intersymbol interference channel; linear decoders; maximum-likelihood signal decoding; minimum mean-square-error equalizers; orthogonal frequency-division multiplexing; zero forcing equalisation; Decision feedback equalizers; Error probability; Fading; Frequency division multiplexing; Intersymbol interference; Maximum likelihood decoding; Maximum likelihood estimation; Measurement; Performance analysis; Performance gain; Decision feedback equalization (DFE); diversity–multiplexing tradeoff; intersymbol interference (ISI); maximum-likelihood sequence estimation; minimum mean-square-error (MMSE) equalization; zero-forcing (ZF) equalization;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2008.2008120

Filename

4729766