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Moment-Based Joint Estimation of Ricean K-Factor and SNR Over Linearly-Modulated Wireless SIMO Channels

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Abstract

In this paper, we develop a new joint estimator for the Ricean K-factor and the signal-to-noise ratio (SNR) when multiple antenna elements receive linearly-modulated signals with a complex additive white Gaussian noise spatially uncorrelated. The fourth-order cross-moments and the second-order moments of the received signal at a single-input multiple-output (SIMO) system are considered. The SNR is deduced by estimating the powers of the useful signals and the noise. While the K-factor is computed by estimating the kurtosises of the transmitted data and the Ricean channel. The new joint estimator is non-data-aided and does not require the a priori knowledge of the modulation type or order. The performances of this algorithm are investigated in terms of normalized root mean square error over different modulated transmissions and compared with the data-aided auto-correlation function (DA-ACF) based joint estimator extended to a SIMO configuration. Simulation results show that our approach outperforms the DA-ACF estimator.

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Notes

  1. Note here that we do not make any assumption about the statistical model of the diffuse component of Ricean channel model. So, we avoid any a priori knowledge about the statistical model of \(\tilde{c}_i\). Of course, it has to be zero mean complex Gaussian process.

  2. For the SNR estimation, we first estimate the noise power at each antenna element, then, we average it over all antenna elements.

  3. Of course, we can use an \(\omega _m\) estimator among the literature (see [18] and references therein) and combined with DA-ACF one, but this increases the overall computational complexity.

  4. These parameters correspond to narrowband channels.

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Authors and Affiliations

  1. SERCom Laboratory, Tunisia Polytechnic School, Carthage University, B.P. 743, 2078, La Marsa, Tunisia

    M. Bassem Ben Salah

  2. INRS-EMT, 800, de la Gauchetière Ouest, Bureau 6900, Montréal, QC, H5A 1K6, Canada

    Abdelaziz Samet

Authors
  1. M. Bassem Ben Salah
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  2. Abdelaziz Samet
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Correspondence to M. Bassem Ben Salah.

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Ben Salah, M.B., Samet, A. Moment-Based Joint Estimation of Ricean K-Factor and SNR Over Linearly-Modulated Wireless SIMO Channels. Wireless Pers Commun 91, 903–918 (2016). https://doi.org/10.1007/s11277-016-3503-6

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  • DOI: https://doi.org/10.1007/s11277-016-3503-6

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