A General Upper Bound to Evaluate Packet Error Rate over Quasi-Static Fading Channels

• Published in: IEEE transactions on wireless communications 2011-05, Vol.10 (5), p.1373-1377
• Main Authors: Yong Xi, Burr, A, JiBo Wei, Grace, D
• Format: Article
• Language: English
• Subjects: Applied sciences; Binary phase shift keying; Coding, codes; Encoding; Error analysis; Exact sciences and technology; Information, signal and communications theory; Nakagami-m fading; Packet error rate; Rayleigh channels; Rayleigh fading; Signal and communications theory; Signal to noise ratio; Switching and signalling; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Upper bound
• ISSN: 1536-1276; 1558-2248
• DOI: 10.1109/TWC.2011.012411.100787

We propose a new analytical approach to evaluate the average packet error rate (PER) of a conventional packet transmission system over a quasi static fading channel, by presenting an integral inequality lemma. The basic idea of the approach is that, given the PER for the AWGN channel as a function of signal-to-noise ratio (SNR), the average PER over Rayleigh fading channel can be generally upper bounded by a quite simple inequality, i.e.,1 - exp(-w o /γ̅), for both coded and uncoded schemes, where w o , defined by an integral expression, corresponds exactly to the inversion of coding gain; and this bound is tight in the high SNR region or for long packet systems. We further apply the integral inequality to extend our research to more general Nakagami-m fading channel.