Performance of Generalized BER for Hierarchical MPSK Signal 


Vol. 31,  No. 9, pp. 831-839, Sep.  2006


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  Abstract

In this paper, we present an exact and general expression involving two-dimensional Gaussian Q-functions for the bit error rate (BER) of hierarchical MPSK with I/Q phase and amplitude imbalances over an additive white Gaussian noise (AWGN) channel. First we derive a BER expression for the k-th bit of hierarchical 4, 8, 16-PSK signal constellations when Gray code bit mapping is employed. Then, from the derived k-th bit BER expression, we present the exact and general average BER expression for hierarchical MPSK with I/Q phase and amplitude imbalances. This result can readily be applied to numerical evaluation for various cases of practical interest in an I/Q unbalanced hierarchical MPSK system, because the one- and two-dimensional Gaussian Q-functions can be easily and directly computed using commonly available mathematical software tools.

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  Cite this article

[IEEE Style]

J. Lee, D. Yoon, K. Hyun, S. K. Park, "Performance of Generalized BER for Hierarchical MPSK Signal," The Journal of Korean Institute of Communications and Information Sciences, vol. 31, no. 9, pp. 831-839, 2006. DOI: .

[ACM Style]

Jaeyoon Lee, Dongweon Yoon, Kwangmin Hyun, and Sang Kyu Park. 2006. Performance of Generalized BER for Hierarchical MPSK Signal. The Journal of Korean Institute of Communications and Information Sciences, 31, 9, (2006), 831-839. DOI: .

[KICS Style]

Jaeyoon Lee, Dongweon Yoon, Kwangmin Hyun, Sang Kyu Park, "Performance of Generalized BER for Hierarchical MPSK Signal," The Journal of Korean Institute of Communications and Information Sciences, vol. 31, no. 9, pp. 831-839, 9. 2006.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880