4.7 Article Proceedings Paper

An Analysis of Probability Distribution of Doppler Shift in Three-Dimensional Mobile Radio Environments

Journal

IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY
Volume 58, Issue 4, Pages 1634-1639

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TVT.2008.2004494

Keywords

Channel models; Doppler effect; fading channels; radio propagation

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The Doppler shift (DS) distribution of the signal that is received by a mobile station in 3-D mobile radio environments is closely related to the signal's power spectral density (PSD). From the relationship between the arriving angles and the DS, general equations are derived, bridging the probability density function (pdf) of the elevation angle with the pdf of the DS, its variance, and the characteristic function. These equations are then used to analyze the statistic distribution of the DS based on the semi-spheroid model, which has been recently proposed by Janaswamy. For this particular model, analytical expressions for the pdf and the variance of the DS have been derived, and a definite-integral expression is provided for the characteristic function. When the average strengths of the waves that are distributed on different equal-Doppler-shift surfaces are assumed to be equal, the derived pdf of the DS is equivalent to the signal's PSD, and the. derived characteristic function of the DS is equivalent to the signal's autocorrelation function.

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