Performance of the Product of Three Nakagami-m Random Variables
Abstract
An output signal from a multi-section wireless relay communication system is equal to the product of the signal envelopes from individual sections. In this paper, a three-sections relay system is considered in the presence of Nakagami-m fading at each section. First, random variable (RV) is formed as the product of three Nakagami-m RVs. For such product, the moments are determined in the closed forms. The first moment is the mean of the signal; the second moment is the average power of the signal, and the third moment is skewness. Then, the Amount of Fading (AoF) is calculated. AoF is a measure of the severity effect of fading in a particular channel model. Besides, all system performance are shown graphically and the parameters influence has been analyzed and discussed.
Keywords
Amount of Fading, Moments, Nakagami-m distribution, Random VariablesThis work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
D. Krstic, P. Nikolic, I. Vulic, S. Minic and M. Stefanovic, "Performance of the Product of Three Nakagami-m Random Variables," in Journal of Communications Software and Systems, vol. 16, no. 2, pp. 122-130, June 2020, doi: 10.24138/jcomss.v16i2.989
@article{krstic2020performanceproduct, author = {Dragana Krstic and Petar Nikolic and Ivan Vulic and Sinisa Minic and Mihajlo Stefanovic}, title = {Performance of the Product of Three Nakagami-m Random Variables}, journal = {Journal of Communications Software and Systems}, month = {6}, year = {2020}, volume = {16}, number = {2}, pages = {122--130}, doi = {10.24138/jcomss.v16i2.989}, url = {https://doi.org/10.24138/jcomss.v16i2.989} }