Asymptotic Error Probability Analysis of DQPSK/DDQPSK over Nakagami-m Fading Channels

Hoojin LEE  

Publication
IEICE TRANSACTIONS on Communications   Vol.E99-B   No.1   pp.152-156
Publication Date: 2016/01/01
Online ISSN: 1745-1345
DOI: 10.1587/transcom.2015EBP3025
Type of Manuscript: PAPER
Category: Fundamental Theories for Communications
Keyword: 
differential quaternary phase shift keying (DQPSK),  doubly-differential quaternary phase shift keying (DDQPSK),  bit error probability (BEP),  symbol error probability (SEP),  Nakagami-m fading channels,  

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Summary: 
In this paper, we derive two simple asymptotic closed-form formulas for the average bit error probability (BEP) of differential quaternary phase shift keying (DQPSK) with Gray encoding and a simple asymptotic approximation for the average symbol error probability (SEP) of doubly-differential quaternary phase shift keying (DDQPSK) in Nakagami-m fading channels. Compared with the existing BEP/SEP expressions, the derived concise formulas are much more effective in evaluating the asymptotic properties of DQPSK/DDQPSK with various Nakagami fading parameters, the accuracy of which is verified by extensive numerical results.