This paper derives a Karhunen-Loève (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.
Abstract-This paper derives and computes the probability of synchronization failure fail for IEEE 802.11a wireless LANs on frequency-flat Rician fading channels. For a frequency offset within 232 kHz, it is shown that its effect on the synchronization performance is minor. The ds 0 ratios required to achieve fail = 10 3 and 10 4 are computed, where ds is the data-symbol energy. We find that ds 0 ratios over 20 dB are generally required for channels with Rician factors 6 dB. In particular, ds 0 ratios that yield fail = 10 4 exceed 30 dB for 4 dB.Index Terms-Frequency-nonselective channel, IEEE 802.11a, orthogonal frequency division multiplexing (OFDM), probability of synchronization failure, Rician fading, sliding correlator, timing synchronization, wireless local area network (LAN).
This paper proposes a mathematical model for simulating a Nakagami-m fading channel, m < 1. It is shown that the m fading process can be expressed as a product of a square-root-beta process and a complex Gaussian process. Extension of the proposed model to simulate correlated diversity channels is also given. Numerical results demonstrate that statistical properties of the samples generated from the proposed model are close to the required ones.
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