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

    Fingerprint

    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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    AU - Mämmelä, Aarne

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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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