Sum of Fisher-Snedecor F Random Variables and Its Applications

被引：22
作者：
Du, Hongyang [1 ]
Zhang, Jiayi [1 ]
Cheng, Julian [2 ]
Ai, Bo [3 ]
机构：
[1] Beijing Jiaotong Univ, Sch Elect & Informat Engn, Beijing 100044, Peoples R China
[2] Univ British Columbia, Sch Engn, Kelowna, BC V1V 1V7, Canada
[3] Beijing Jiaotong Univ, State Key Lab Rail Traff Control & Safety, Beijing 100044, Peoples R China
来源：
IEEE OPEN JOURNAL OF THE COMMUNICATIONS SOCIETY | 2020年 / 1卷
基金：
中国国家自然科学基金; 北京市自然科学基金;
关键词：
Channel capacity; effective capacity; Fisher-Snedecor F-distribution; sum of random variables; FADING CHANNELS; ETA-MU; PERFORMANCE ANALYSIS; MASSIVE MIMO; CAPACITY; SYSTEMS; APPROXIMATION; TRANSMISSION; ACCURATE; RATIO;
D O I：
10.1109/OJCOMS.2020.2982770
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The statistical characterization of a sum of random variables (RVs) is useful for investigating the performance of wireless communication systems. We derive exact closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of a sum of independent but not identically distributed (i.n.i.d.) Fisher-Snedecor F RVs. Both PDF and CDF are expressed in terms of the multivariate Fox's H-function. Besides, a simple and accurate approximation to the sum of i.n.i.d. Fisher-Snedecor F variates is presented using the moment matching method. The obtained PDF and CDF are used to evaluate the performance of wireless communication applications including the outage probability, the effective capacity, and the channel capacities under four different adaptive transmission strategies. Moreover, the corresponding approximate expressions are obtained to provide useful insights for the design and deployment of wireless communication systems. In addition, we derive simple asymptotic expressions for the proposed mathematical analysis in the high signal-to-noise ratio regime. Finally, the numerical results demonstrate the accuracy of the derived expressions.
引用
收藏
页码：342 / 356
页数：15
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