Performance Analysis of MRC Receiver over Fisher Snedecor ( F ) Composite Fading Channels
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Performance Analysis of MRC Receiver over Fisher Snedecor (F) Composite Fading Channels Hari Shankar1 · Ankush Kansal1 Accepted: 29 October 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract This paper considers the analysis of Fisher Snedecor (F) fading model with maximum ratio combining scheme. In this context, with the assumption of independent identically distributed (i.i.d.) branches, the channel capacity expressions for various power adaptive methods are derived. We further evaluate the expressions for nth moment, amount of fading (AF), and average bit error rate (ABER) for different modulation schemes. To go more insight, the asymptotic and approximate expressions of some performance metrics are derived. The numerical results demonstrate the derived expression and reduce to results of classical fading models such as Nakagami-m and Rayleigh. Moreover, numerical results show an excellent match to the Monte Carlo simulation results that verify the accuracy of derived expressions. Keywords Maximum ratio combining · Composite fading model · Adaptive channel capacity · Signal to noise ratio · Symbol error rate
1 Introduction In wireless communication, the fading occurs due to multipath propagation and relative motion between transmitter and receiver. Fading can be divided into two classes: multipath fading and shadowing. Generally, both fading effects happen simultaneously in the real environment. To characterize these fading effects various composite fading models (also known as shadowed fading model) have been reported in previous literature [1, 2]. The composite fading models and their performance parameters based on log-normal distribution are analytically complex. Also, their solutions are not presented in closed form in most cases. However, the composite fading models based on gamma, inverse gamma, and inverse Nakagami-m are presented in a simple form and have closed-form solutions. Therefore, further analysis becomes also easy.
* Hari Shankar [email protected] Ankush Kansal [email protected] 1
ECED, Thapar Institute of Engineering and Technology, Patiala, Punjab 147004, India
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Recently, Fisher-Snedecor (F) composite fading model has been reported which is based on inverse Nakagami-m shadowing and most suitable for device to device (D2D) communication system [3]. In the D2D communication system, two user equipment (UE) or mobile users can communicate directly without going through the base station (BS). In [3], the D2D channel measurements were performed in an indoor open office area and outdoor open area at ECIT department, Queen’s University, Belfast. Also, the experimental results presented in [3] show that this composite fading model is more suitable than the Generalized K (GK) fading model for D2D system. In wireless communication, the channel capacity is defined as the maximum data transmission through the channel [4]. In the time-varying wireless channels, one cannot utilize its full data transmission. T
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