Sum of Squared Fluctuating Two-Ray Random Variables With Wireless Applications

Jiakang Zheng; Jiayi Zhang; Gaofeng Pan; Julian Cheng; Bo Ai

doi:10.1109/TVT.2019.2920533

Sum of Squared Fluctuating Two-Ray Random Variables With Wireless Applications

Jiakang Zheng, Jiayi Zhang^*, Gaofeng Pan, Julian Cheng, Bo Ai

^*Corresponding author for this work

School of Cyberspace Science and Technology

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

The fluctuating two-ray (FTR) channel fading offers good fit for small-scale experimental data in millimeter wave communications. We first investigate the statistical characterizations of the sum of independent nonidentically distributed squared FTR random variables. More specifically, the exact and approximate analytical expressions for moment generating function, probability density function, and cumulative distribution function are derived. Then, the performance of the maximal-ratio combining system over FTR fading channels is assessed in terms of the outage probability (OP) and the average bit error probability (ABEP). Moreover, asymptotic OP and ABEP expressions are obtained to obtain physical insights into the impact of the system and channel parameters on the overall performance. Finally, the correctness of our results is verified by simulation results.

Original language	English
Article number	8727983
Pages (from-to)	8173-8177
Number of pages	5
Journal	IEEE Transactions on Vehicular Technology
Volume	68
Issue number	8
DOIs	https://doi.org/10.1109/TVT.2019.2920533
Publication status	Published - Aug 2019

Keywords

Fluctuating two-ray distribution
Maximal-ratio combining
Moment generating function
Performance analysis

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10.1109/TVT.2019.2920533

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title = "Sum of Squared Fluctuating Two-Ray Random Variables With Wireless Applications",

abstract = "The fluctuating two-ray (FTR) channel fading offers good fit for small-scale experimental data in millimeter wave communications. We first investigate the statistical characterizations of the sum of independent nonidentically distributed squared FTR random variables. More specifically, the exact and approximate analytical expressions for moment generating function, probability density function, and cumulative distribution function are derived. Then, the performance of the maximal-ratio combining system over FTR fading channels is assessed in terms of the outage probability (OP) and the average bit error probability (ABEP). Moreover, asymptotic OP and ABEP expressions are obtained to obtain physical insights into the impact of the system and channel parameters on the overall performance. Finally, the correctness of our results is verified by simulation results.",

keywords = "Fluctuating two-ray distribution, Maximal-ratio combining, Moment generating function, Performance analysis",

author = "Jiakang Zheng and Jiayi Zhang and Gaofeng Pan and Julian Cheng and Bo Ai",

note = "Publisher Copyright: 0018-9545 {\textcopyright} 2019 IEEE.",

year = "2019",

month = aug,

doi = "10.1109/TVT.2019.2920533",

language = "English",

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T1 - Sum of Squared Fluctuating Two-Ray Random Variables With Wireless Applications

AU - Zheng, Jiakang

AU - Zhang, Jiayi

AU - Pan, Gaofeng

AU - Cheng, Julian

AU - Ai, Bo

PY - 2019/8

Y1 - 2019/8

N2 - The fluctuating two-ray (FTR) channel fading offers good fit for small-scale experimental data in millimeter wave communications. We first investigate the statistical characterizations of the sum of independent nonidentically distributed squared FTR random variables. More specifically, the exact and approximate analytical expressions for moment generating function, probability density function, and cumulative distribution function are derived. Then, the performance of the maximal-ratio combining system over FTR fading channels is assessed in terms of the outage probability (OP) and the average bit error probability (ABEP). Moreover, asymptotic OP and ABEP expressions are obtained to obtain physical insights into the impact of the system and channel parameters on the overall performance. Finally, the correctness of our results is verified by simulation results.

AB - The fluctuating two-ray (FTR) channel fading offers good fit for small-scale experimental data in millimeter wave communications. We first investigate the statistical characterizations of the sum of independent nonidentically distributed squared FTR random variables. More specifically, the exact and approximate analytical expressions for moment generating function, probability density function, and cumulative distribution function are derived. Then, the performance of the maximal-ratio combining system over FTR fading channels is assessed in terms of the outage probability (OP) and the average bit error probability (ABEP). Moreover, asymptotic OP and ABEP expressions are obtained to obtain physical insights into the impact of the system and channel parameters on the overall performance. Finally, the correctness of our results is verified by simulation results.

KW - Fluctuating two-ray distribution

KW - Maximal-ratio combining

KW - Moment generating function

KW - Performance analysis

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M3 - Article

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JF - IEEE Transactions on Vehicular Technology

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Sum of Squared Fluctuating Two-Ray Random Variables With Wireless Applications

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Keywords

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