Ratio of Products of Fluctuating Two-Ray Variates

• Published in: IEEE communications letters Vol. 23; no. 11; pp. 1944 - 1948
• Main Authors: Badarneh, Osamah S., da Costa, Daniel Benevides, Benjillali, Mustapha, Alouini, Mohamed-Slim
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.11.2019; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Analytical models; Computer simulation; Distribution functions; Economic models; Fading channels; Fluctuating two-ray RVs; Indexes; Mathematical model; Monte Carlo simulation; multihop transmission; multiple scattering channels; Probability density function; Probability density functions; Random variables; ratio of products of variates; Scattering; Statistical analysis; Variation; Wireless communication; Wireless communication systems; Wireless communications
• ISSN: 1089-7798; 1558-2558
• DOI: 10.1109/LCOMM.2019.2937959

This letter provides a statistical analysis for the ratio of the products of fluctuating two-ray (FTR) random variables (RVs), in which exact expressions for the probability density function (PDF), cumulative distribution function (CDF), generalized moment generating function (MGF), which coincides with the n-th moment by setting s = 0, the amount of fading, and channel quality estimation index, are derived. To show the usefulness of the derived expressions, we study the performance of multihop wireless communication systems subject to multiple interferers. The outage probability is examined, based on which an asymptotic analysis is carried out. Monte Carlo simulations are presented to corroborate the proposed analysis.