Performance of the Product of Three Nakagami-m Random Variables

• Published in: Journal of Communications Software and Systems Vol. 16; no. 2; pp. 122 - 130
• Main Authors: Krstic, Dragana, Nikolic, Petar, Vulic, Ivan, Minic, Sinisa, Stefanovic, Mihajlo
• Format: Journal Article Paper
• Language: English
• Published: Udruga za komunikacijske i informacijske tehnologije, Fakultet elektrotehnike, strojarstva i brodogradnje, Sveučilište u Splitu 01.06.2020; Croatian Communications and Information Society (CCIS)
• Subjects: Amount of Fading; Moments; Nakagami-m distribution; Random Variables
• ISSN: 1845-6421; 1846-6079
• DOI: 10.24138/jcomss.v16i2.989

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.