BER vs. average SNR, ¯ γ of BPSK DF 3-hop system with different power allocation schemes and i.n.d. fading channels.

BER vs. average SNR, ¯ γ of BPSK DF 3-hop system with different power allocation schemes and i.n.d. fading channels.

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Error performance and power allocation for multi-hop decode-and-forward (DF) systems are addressed. The different channels treated are Rayleigh, Rician, Nakagami-m, and Nakagami-q, and these are collectively referred to as generalized fading. The modulation can be any linear scheme. The asymptotic (high SNR) error rate expression is derivedwhich ca...

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... in Set-3 which acts as a bottleneck. All the sets have G d = 1, although a Nakagami-m channel, with m > 1, is used within Set-2 and 4. This demonstrates the bottleneck action of the other hops, or alternatively, the futility of deploying diversity (the Nakagami-(m = 2) hops), in just one or some hops of otherwise strongly-fading multi- hop links. Fig. 5 gives the BER performance of a BPSK 3-hop DF system with different path gain variances, and with a power allocation from (19). The hops have i.n.d. fading where the first, second and third hops are Rayleigh, Rician (K = 2) and again Rayleigh, respectively. These hops have Ω 1 = 1, Ω 2 = 0.5, and Ω 3 = 0.01, and the noise variances (σ 2 ...

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