Smoothing and interpolation in a pilot-symbol assisted diversity system

Aarne Mämmelä, Veli-Pekka Kaasila

    Research output: Contribution to journalArticleScientificpeer-review

    10 Citations (Scopus)

    Abstract

    The performance of a suboptimal diversityreceiver in a frequency-nonselective slow Rayleighfading AWGN channel is analyzed. The channel isestimated by using pilot symbols that aretime-multiplexed with the data symbols in the transmitted signal. Theestimator is based on time-variant smoothing, and it canbe approximated by time-invariant smoothing andinterpolation. The paper includes both mean-square error analysis and bit error probabilityanalysis. The results are verified by some typicalperformance curves. It is shown that under suitableconditions (no aliasing in channel estimation), thesystem based on a time-invariant smoother and an idealinterpolator has the same performance as thetime-variant smoother and does not have any error-ratebottoming effect at large signal-to-noise ratios. Atsmall signal-to-noise ratios, the smoother must bematched to the Doppler power spectrum of the channel.The ideal interpolator can usually be approximated by alinear interpolator.

    Original languageEnglish
    Pages (from-to)205 - 214
    Number of pages10
    JournalInternational Journal of Wireless Information Networks
    Volume4
    Issue number3
    DOIs
    Publication statusPublished - 1997
    MoE publication typeA1 Journal article-refereed

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    Signal to noise ratio
    Interpolation
    Channel estimation
    Power spectrum
    Mean square error
    Error analysis

    Cite this

    @article{dcf29c6861d24bedaf8f6a0785683d3f,
    title = "Smoothing and interpolation in a pilot-symbol assisted diversity system",
    abstract = "The performance of a suboptimal diversityreceiver in a frequency-nonselective slow Rayleighfading AWGN channel is analyzed. The channel isestimated by using pilot symbols that aretime-multiplexed with the data symbols in the transmitted signal. Theestimator is based on time-variant smoothing, and it canbe approximated by time-invariant smoothing andinterpolation. The paper includes both mean-square error analysis and bit error probabilityanalysis. The results are verified by some typicalperformance curves. It is shown that under suitableconditions (no aliasing in channel estimation), thesystem based on a time-invariant smoother and an idealinterpolator has the same performance as thetime-variant smoother and does not have any error-ratebottoming effect at large signal-to-noise ratios. Atsmall signal-to-noise ratios, the smoother must bematched to the Doppler power spectrum of the channel.The ideal interpolator can usually be approximated by alinear interpolator.",
    author = "Aarne M{\"a}mmel{\"a} and Veli-Pekka Kaasila",
    year = "1997",
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    language = "English",
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    pages = "205 -- 214",
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    Smoothing and interpolation in a pilot-symbol assisted diversity system. / Mämmelä, Aarne; Kaasila, Veli-Pekka.

    In: International Journal of Wireless Information Networks, Vol. 4, No. 3, 1997, p. 205 - 214.

    Research output: Contribution to journalArticleScientificpeer-review

    TY - JOUR

    T1 - Smoothing and interpolation in a pilot-symbol assisted diversity system

    AU - Mämmelä, Aarne

    AU - Kaasila, Veli-Pekka

    PY - 1997

    Y1 - 1997

    N2 - The performance of a suboptimal diversityreceiver in a frequency-nonselective slow Rayleighfading AWGN channel is analyzed. The channel isestimated by using pilot symbols that aretime-multiplexed with the data symbols in the transmitted signal. Theestimator is based on time-variant smoothing, and it canbe approximated by time-invariant smoothing andinterpolation. The paper includes both mean-square error analysis and bit error probabilityanalysis. The results are verified by some typicalperformance curves. It is shown that under suitableconditions (no aliasing in channel estimation), thesystem based on a time-invariant smoother and an idealinterpolator has the same performance as thetime-variant smoother and does not have any error-ratebottoming effect at large signal-to-noise ratios. Atsmall signal-to-noise ratios, the smoother must bematched to the Doppler power spectrum of the channel.The ideal interpolator can usually be approximated by alinear interpolator.

    AB - The performance of a suboptimal diversityreceiver in a frequency-nonselective slow Rayleighfading AWGN channel is analyzed. The channel isestimated by using pilot symbols that aretime-multiplexed with the data symbols in the transmitted signal. Theestimator is based on time-variant smoothing, and it canbe approximated by time-invariant smoothing andinterpolation. The paper includes both mean-square error analysis and bit error probabilityanalysis. The results are verified by some typicalperformance curves. It is shown that under suitableconditions (no aliasing in channel estimation), thesystem based on a time-invariant smoother and an idealinterpolator has the same performance as thetime-variant smoother and does not have any error-ratebottoming effect at large signal-to-noise ratios. Atsmall signal-to-noise ratios, the smoother must bematched to the Doppler power spectrum of the channel.The ideal interpolator can usually be approximated by alinear interpolator.

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