Title: Performance analysis of multihop decode-and-forward relay networks with diversity in Nakagami fading channels
Abstract: In this paper, we consider a multihop Decode-and-Forward (DF) relay network, in which each node receives the signals from its two preceding nodes. We assume Nakagami fading channels with integer fading parameters. In this network, the achievable diversity order is limited by the link between the source and the first relay. We derive the exact outage probability of fixed and selection relaying with spatial channel reuse, and demonstrate that applying selection relaying at the first relay is adequate to achieve full diversity. In order to derive the outage probability of this system in a Nakagami fading environment with integer fading parameters, a simple closed-form expression for the cumulative distribution function (CDF) of the sum of two independent, but not necessarily identically distributed, Erlang random variables is obtained. By approximating the outage probability for the high signal-to-noise ratio (SNR) region, we also derive the diversity order and coding gain of this selection relaying method and the fixed relaying method. The obtained asymptotic performance expressions are generalized for Nakagami fading channels with arbitrary real-valued fading parameters. Numerical and Monte Carlo results are provided which confirm the analytical expressions.
Publication Year: 2020
Publication Date: 2020-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 4
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