Product of the Powers of Generalized Nakagami-m Variates and Performance of Cascaded Fading Channels

2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)

et al. 2012

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CitationAnsari IS, Yilmaz F, Alouini M-S, Kucur O (2012) On the sum of gamma random variates with application to the performance of maximal ratio combining over Nakagamim fading channels. Abstract-The probability distribution function (PDF) and cumulative density function of the sum of L independent but not necessarily identically distributed gamma variates, applicable to maximal ratio combining receiver outputs or in other words applicable to the performance analysis of diversity combining receivers operating over Nakagami-m fading channels, is presented in closed form in terms of Meijer G-function and FoxH-function for integer valued fading parameters and noninteger valued fading parameters, respectively. Further analysis, particularly on bit error rate via PDF-based approach, too is represented in closed form in terms of Meijer G-function and Fox H-function for integer-order fading parameters, and extended FoxH-function (Ĥ) for non-integer-order fading parameters. The proposed results complement previous results that are either evolved in closed-form, or expressed in terms of infinite sums or higher order derivatives of the fading parameter m.

Section: Closed-form Statistical Characteristics Formentioning

confidence: 99%

On the sum of gamma random variates with application to the performance of maximal ratio combining over Nakagami-m fading channels

Ansari

Yılmaz

2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)

et al. 2012

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“…More specifically, expressing (4) and (7) [. ], whose MATHEMATICA implementation is given in [12,Appendix], the integral in (6b) can be re-written as a sum of the product of two and three FHFs which can be solved in closed-form. For instance, we can write…”

Section: Average Sep Over Egk Fadingmentioning

confidence: 99%

Exact symbol error probability of square M-QAM signaling over generalized fading channels subject to additive generalized Gaussian noise

Soury

Yılmaz

2013 IEEE International Symposium on Information Theory

2013

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Abstract-This paper considers the average symbol error probability of square Quadrature Amplitude Modulation (QAM) coherent signaling over flat fading channels subject to additive generalized Gaussian noise. More specifically, a generic closedform expression in terms of the Fox H function and the bivariate Fox H function is offered for the extended generalized-K fading case. Simplifications for some special fading distributions such as generalized-K fading, Nakagami-m fading, and Rayleigh fading and special additive noise distributions such as Gaussian and Laplacian noise are then presented. Finally, the mathematical formalism is illustrated by some numerical examples verified by computer based simulations for a variety of fading and additive noise parameters.

“…Moreover, for amplify-and-forward relaying systems if the source-relay link and the relay-destination link are modelled each by a Rayleigh distribution, the end-to-end link from the source to the destination follows a double Rayleigh distribution [5]. In addition, the double Rayleigh distribution is a wellaccepted model for keyhole channels.…”

Section: Introductionmentioning

confidence: 99%

Throughput and Delay Analysis of HARQ With Code Combining Over Double Rayleigh Fading Channels

Chelli

Zedini

IEEE Trans. Veh. Technol.

et al. 2018

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Abstract-This paper proposes the use of hybrid automatic repeat request (HARQ) with code combining (HARQ-CC) to offer reliable communications over double Rayleigh channels. The double Rayleigh fading channel is of particular interest to vehicle-to-vehicle communication systems as well as amplify-andforward relaying and keyhole channels. This work studies the performance of HARQ-CC over double Rayleigh channels from an information theoretic perspective. Analytical approximations are derived for the -outage capacity, the average number of transmissions, and the throughput of HARQ-CC. Moreover, we evaluate the delay experienced by Poisson arriving packets for HARQ-CC. We provide analytical expressions for the average waiting time, the packets sojourn time, the average consumed power, and the energy efficiency. In our investigation, we take into account the impact of imperfect feedback on different performance metrics. Additionally, we explore the tradeoff between energy efficiency and the throughput. The proposed scheme is shown to maintain the outage probability below a specified threshold which ensures the link reliability. Meanwhile, HARQ-CC adapts implicitly the transmission rate to the channel conditions such that the throughput is maximized. Our results demonstrate that HARQ-CC allows improving the achievable communication rate compared to fixed time diversity schemes. To maximize the throughput of HARQ-CC, the rate per HARQ round should be less than the rate required to meet the outage constraint. Our investigation of the performance of HARQ-CC over Rayleigh and double Rayleigh channels shows that double Rayleigh channels have a higher severity of fading and result in a larger degradation of the throughput. Our analysis reveals that HARQ with incremental redundancy (HARQ-IR) achieves a larger throughput compared to HARQ-CC, while HARQ-CC is simpler to implement, has a lower decoding complexity, and requires less memory resources.Index Terms-Vehicle-to-vehicle communications, double Rayleigh channel, hybrid automatic repeat request (HARQ), code combining, throughput, delay analysis, energy efficiency, information outage capacity.