On the correlation properties of the squared envelope of ergodic sum-of-cisoids Rayleigh fading channel simulators
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In this paper, we investigate the correlation properties of the squared envelope of a class of autocorrelation-ergodic (AE) sum-of-cisoids (SOC) simulation models for mobile Rayleigh fading channels. Novel closed-form expressions are presented for both the ensemble and the time-averaged autocorrelation functions (ACFs) of the simulation model%27s squared envelope. Basing on those expressions, we show that under certain conditions, the squared envelope of the SOC model is itself an AE random process. In addition, we evaluate the performance of three fundamental methods for the computation of the model%27s parameters - namely the generalized method of equal areas (GMEA), the Lp-norm method (LPNM), and the Riemann sum method (RSM) - regarding their accuracy for emulating the squared envelope ACF of the channel. The obtained results can be used as a basis to design efficient simulators for the performance analysis of mobile communication systems sensitive to the correlation properties of the channel%27s squared envelope. ©2010 IEEE.
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In this paper, we investigate the correlation properties of the squared envelope of a class of autocorrelation-ergodic (AE) sum-of-cisoids (SOC) simulation models for mobile Rayleigh fading channels. Novel closed-form expressions are presented for both the ensemble and the time-averaged autocorrelation functions (ACFs) of the simulation model's squared envelope. Basing on those expressions, we show that under certain conditions, the squared envelope of the SOC model is itself an AE random process. In addition, we evaluate the performance of three fundamental methods for the computation of the model's parameters - namely the generalized method of equal areas (GMEA), the Lp-norm method (LPNM), and the Riemann sum method (RSM) - regarding their accuracy for emulating the squared envelope ACF of the channel. The obtained results can be used as a basis to design efficient simulators for the performance analysis of mobile communication systems sensitive to the correlation properties of the channel's squared envelope. ©2010 IEEE.
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Channel simulators; Ergodic processes; Mobile communications; Rayleigh fading channels; Squared envelope; Sum-of-cisoids; Sum-of-sinusoids Channel simulators; Ergodic process; Mobile communications; Sum-of-cisoids; Sum-of-sinusoids; Autocorrelation; Communication systems; Fading channels; Mobile telecommunication systems; Radio broadcasting; Random processes; Regression analysis; Simulators; Wireless networks; Wireless telecommunication systems; Rayleigh fading
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