Journal Article•
Mathematical Analysis of Random Noise-Conclusion
About: This article is published in Bell System Technical Journal.The article was published on 1945-01-01 and is currently open access. It has received 807 citations till now.
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TL;DR: Rayleigh fading channel is widely modeled using sum-of-sinusoids simulators and rules of simulator construction were proposed, which can be an elicitation to generate simulators with correct high-order statistical properties.
Abstract: Rayleigh fading channel is widely modeled using sum-of-sinusoids simulators. In the paper, the construction method of an accuracy simulator is of concern. The intrinsic relationships between path gain, angle of incoming wave (angle of arrival), and initial phase are analyzed. At the same time, rules of simulator construction were proposed. According to these rules, the second-order statistical properties of designed simulators match to the desired ones perfectly. Furthermore, our method can be an elicitation to generate simulators with correct high-order statistical properties. In addition, a realization based on the construction method is designed to example how to use these construction rules. The new realization can be used to generate multiple uncorrelated fading waveforms for frequency-selective fading channels, multiple-input multiple-output channels, and diversity combining scenarios. Copyright © 2011 John Wiley & Sons, Ltd.