Karhunen-Loeve expansion of the WSSUS channel output and its application to efficient simulation

  • Authors:
  • K. W. Yip;T. -S. Ng

  • Affiliations:
  • Dept. of Electr. & Electron. Eng., Hong Kong Univ.;-

  • Venue:
  • IEEE Journal on Selected Areas in Communications
  • Year:
  • 2006

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This paper derives a Karhunen-Loeve (K-L) expansion of the time-varying output of a multipath Rayleigh fading wide-sense-stationary uncorrelated-scattering (WSSUS) channel. It is shown that under the same mean-squared error condition, the number of terms required by the truncated K-L expansion is less than that of the series expansion obtained by using the discrete-path approximation of the channel so that simulation using the K-L expansion is more efficient. This computational advantage becomes more significant as higher simulation accuracy is required. The derived K-L expansion is applied to develop an efficient simulation technique for digital transmission over a multipath Rayleigh fading WSSUS channel using an optimum receiver. We show that the proposed technique requires shorter computation time than two other known simulation techniques