Bit error probability of a matched filter in a Rayleigh fading multipath channel in the presence of interpath and intersymbol interference

Veli-Pekka Kaasila, Aarne Mämmelä

Research output: Contribution to journalArticleScientificpeer-review

13 Citations (Scopus)

Abstract

The exact bit error probability of a matched filter receiver in a known discrete Rayleigh fading multipath channel is determined for a binary antipodal system. The matched filter receiver or the RAKE is one form of a diversity receiver. Traditionally, both the interpath interference (IPI) and the intersymbol interference (ISI) caused by the non-ideal autocorrelation function of the bit waveform are neglected in the analysis of the RAKE. Previously, the exact matched filter bounds; which include IPI, were derived. This bound gives the performance of the matched filter if only one symbol is transmitted. In our analysis, a symbol sequence is transmitted instead of only one symbol. Thus, our analysis includes both IPI and ISI as well as the correlation between the paths, The analysis permits direct comparisons between different kinds of bit waveforms.
Original languageEnglish
Pages (from-to)809-812
Number of pages4
JournalIEEE Transactions on Communications
Volume47
Issue number6
DOIs
Publication statusPublished - 1999
MoE publication typeA1 Journal article-refereed

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Intersymbol interference
Matched filters
Multipath propagation
Rayleigh fading
Autocorrelation
Error probability

Cite this

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title = "Bit error probability of a matched filter in a Rayleigh fading multipath channel in the presence of interpath and intersymbol interference",
abstract = "The exact bit error probability of a matched filter receiver in a known discrete Rayleigh fading multipath channel is determined for a binary antipodal system. The matched filter receiver or the RAKE is one form of a diversity receiver. Traditionally, both the interpath interference (IPI) and the intersymbol interference (ISI) caused by the non-ideal autocorrelation function of the bit waveform are neglected in the analysis of the RAKE. Previously, the exact matched filter bounds; which include IPI, were derived. This bound gives the performance of the matched filter if only one symbol is transmitted. In our analysis, a symbol sequence is transmitted instead of only one symbol. Thus, our analysis includes both IPI and ISI as well as the correlation between the paths, The analysis permits direct comparisons between different kinds of bit waveforms.",
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Bit error probability of a matched filter in a Rayleigh fading multipath channel in the presence of interpath and intersymbol interference. / Kaasila, Veli-Pekka; Mämmelä, Aarne.

In: IEEE Transactions on Communications, Vol. 47, No. 6, 1999, p. 809-812.

Research output: Contribution to journalArticleScientificpeer-review

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AB - The exact bit error probability of a matched filter receiver in a known discrete Rayleigh fading multipath channel is determined for a binary antipodal system. The matched filter receiver or the RAKE is one form of a diversity receiver. Traditionally, both the interpath interference (IPI) and the intersymbol interference (ISI) caused by the non-ideal autocorrelation function of the bit waveform are neglected in the analysis of the RAKE. Previously, the exact matched filter bounds; which include IPI, were derived. This bound gives the performance of the matched filter if only one symbol is transmitted. In our analysis, a symbol sequence is transmitted instead of only one symbol. Thus, our analysis includes both IPI and ISI as well as the correlation between the paths, The analysis permits direct comparisons between different kinds of bit waveforms.

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