Rayleigh fading channel simulator based on inner-outer factorization

  • Authors:
  • Fernando Merchan;Flavius Turcu;Eric Grivel;Mohamed Najim

  • Affiliations:
  • IMS-Département LAPS, Université de Bordeaux 1, 351 cours de la Libération, 33405 cedex, Talence, France;IMS-Département LAPS, Université de Bordeaux 1, 351 cours de la Libération, 33405 cedex, Talence, France;IMS-Département LAPS, Université de Bordeaux 1, 351 cours de la Libération, 33405 cedex, Talence, France;IMS-Département LAPS, Université de Bordeaux 1, 351 cours de la Libération, 33405 cedex, Talence, France

  • Venue:
  • Signal Processing
  • Year:
  • 2010

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Abstract

The paper deals with the design of Rayleigh fading channel simulators based on the inner-outer factorization. The core of the approach is to approximate the outer spectral factor of the channel power spectral density (PSD) by either finite-order polynomials or rational functions. This, respectively, leads to MA or AR/ARMA models. The parameter estimation operates in two steps: the outer factor, which leads to a minimum-phase filter, is first evaluated inside the unit disk of the z-plane. Then, we propose to compute the Taylor expansion coefficients of the outer factor because they coincide with the model parameters. Unlike other simulation techniques, this has the advantage that the first p parameters remain unchanged when one increases the model order from p to p+1. A comparative study with existing channel simulation approaches points out the relevance of our ARMA model-based method. Moreover, the ARMA model weakens the oscillatory deviations from the theoretical PSD in the case of AR models, or low peaks at the Doppler frequencies for MA models.