Asymptotically-Exact Performance Bounds of AF Multi-Hop Relaying over Nakagami Fading

作者：Amarasuriya Gayan^*; Tellambura Chintha; Ardakani Masoud

来源：IEEE Transactions on Communications, 2011, 59(4): 962-967.

DOI：10.1109/TCOMM.2011.012711.090592

• Multi-hop relay networks
• amplify-and-forward
• Nakagami-m fading
• average symbol error rate
• outage probability

A new class of upper bounds on the end-to-end signal-to-noise ratio (SNR) of channel-assisted amplify-and-forward (AF) multi-hop (N >= 2) relay networks is presented. It is the half-harmonic mean of the minimum of the first P >= 0 hop SNRs and the minimum of the remaining N - P hop SNRs. The parameter.. varies between 0 to.. and may be chosen to provide the tightest bound. The closed-form cumulative distribution function and moment generating function are derived for independent and non-identically distributed Rayleigh fading and for independent and identically distributed Nakagami-m fading, where.. is an integer. The resulting outage probability and the average symbol error rate bounds are asymptotically-exact. The asymptotic-exactness holds for any 0 <= P <= N. As applications, two cases of multi-hop multi-branch relay networks (i) the best branch selection and (ii) maximal ratio combining reception are treated. Numerical results are provided to verify the comparative performance against the existing bounds.

• 出版日期2011-4