An Alternative Approach to the Symbol Error Probability of Coherent M-PSK Systems Having a Phase Error in an AWGN Channel

Seungkeun PARK  Sung Ho CHO  

Publication
IEICE TRANSACTIONS on Communications   Vol.E87-B   No.12   pp.3784-3786
Publication Date: 2004/12/01
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Wireless Communication Technologies
Keyword: 
symbol error probability,  M-PSK,  phase error,  

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Summary: 
This letter presents an alternative analytical expression for the symbol error probability (SEP) of the coherent M-ary phase shift keying (M-PSK) system when an arbitrary phase error exists in an additive white Gaussian noise (AWGN) channel. Unlike the previous work, it is shown that the SEP performance of the M-PSK system can be completely characterized by the one- and two-dimensional Gaussian Q-functions. The new expression is numerically more convenient to manipulate than the previous results by replacing the integral operations with the built-in functions commonly available in various mathematical software tool libraries.