New Expression for the SER of M-ary PSK

Dongweon YOON

doi:10.1093/ietcom/e88-b.4.1672

New Expression for the SER of M-ary PSK

Dongweon YOON

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This letter derives a new exact and general closed-form expression involving a two-dimensional joint Gaussian Q-function for the symbol error rate (SER) of M-ary Phase Shift Keying (MPSK) under an additive white Gaussian noise (AWGN) channel. By using two rotations of coordinates the correlation coefficient between two Gaussian random vectors is provided, then with the derived correlation coefficient that characterizes the two-dimensional joint Gaussian Q-function, a new expression for the SER of MPSK is presented. The derived new SER expression offers a convenient method to evaluate the performances of MPSK for various cases of practical interest.

Publication: IEICE TRANSACTIONS on Communications Vol.E88-B No.4 pp.1672-1676

Publication Date: 2005/04/01

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DOI: 10.1093/ietcom/e88-b.4.1672

Type of Manuscript: LETTER

Category: Transmission Systems and Transmission Equipment for Communications

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Dongweon YOON, "New Expression for the SER of M-ary PSK" in IEICE TRANSACTIONS on Communications, vol. E88-B, no. 4, pp. 1672-1676, April 2005, doi: 10.1093/ietcom/e88-b.4.1672.
Abstract: This letter derives a new exact and general closed-form expression involving a two-dimensional joint Gaussian Q-function for the symbol error rate (SER) of M-ary Phase Shift Keying (MPSK) under an additive white Gaussian noise (AWGN) channel. By using two rotations of coordinates the correlation coefficient between two Gaussian random vectors is provided, then with the derived correlation coefficient that characterizes the two-dimensional joint Gaussian Q-function, a new expression for the SER of MPSK is presented. The derived new SER expression offers a convenient method to evaluate the performances of MPSK for various cases of practical interest.
URL: https://global.ieice.org/en_transactions/communications/10.1093/ietcom/e88-b.4.1672/_p

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@ARTICLE{e88-b_4_1672,
author={Dongweon YOON, },
journal={IEICE TRANSACTIONS on Communications},
title={New Expression for the SER of M-ary PSK},
year={2005},
volume={E88-B},
number={4},
pages={1672-1676},
abstract={This letter derives a new exact and general closed-form expression involving a two-dimensional joint Gaussian Q-function for the symbol error rate (SER) of M-ary Phase Shift Keying (MPSK) under an additive white Gaussian noise (AWGN) channel. By using two rotations of coordinates the correlation coefficient between two Gaussian random vectors is provided, then with the derived correlation coefficient that characterizes the two-dimensional joint Gaussian Q-function, a new expression for the SER of MPSK is presented. The derived new SER expression offers a convenient method to evaluate the performances of MPSK for various cases of practical interest.},
keywords={},
doi={10.1093/ietcom/e88-b.4.1672},
ISSN={},
month={April},}

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TY - JOUR
TI - New Expression for the SER of M-ary PSK
T2 - IEICE TRANSACTIONS on Communications
SP - 1672
EP - 1676
AU - Dongweon YOON
PY - 2005
DO - 10.1093/ietcom/e88-b.4.1672
JO - IEICE TRANSACTIONS on Communications
SN -
VL - E88-B
IS - 4
JA - IEICE TRANSACTIONS on Communications
Y1 - April 2005
AB - This letter derives a new exact and general closed-form expression involving a two-dimensional joint Gaussian Q-function for the symbol error rate (SER) of M-ary Phase Shift Keying (MPSK) under an additive white Gaussian noise (AWGN) channel. By using two rotations of coordinates the correlation coefficient between two Gaussian random vectors is provided, then with the derived correlation coefficient that characterizes the two-dimensional joint Gaussian Q-function, a new expression for the SER of MPSK is presented. The derived new SER expression offers a convenient method to evaluate the performances of MPSK for various cases of practical interest.
ER -