계층적 MPSK 신호에 대한 일반하된 BER 성능

초록

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 T/Q phase and amplitude imbalances. This result can readily be applied to numerical evaluation for various cases of practical interest in an 1/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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