### Abstract

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.

Original language | English |
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Pages (from-to) | 3784-3786 |

Number of pages | 3 |

Journal | IEICE Transactions on Communications |

Volume | E87-B |

Issue number | 12 |

Publication status | Published - 2004 Dec |

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### Keywords

- M-PSK
- Phase error
- Symbol error probability