I/Q 위상 불균형을 고려한 Uniform M-PSK의 일반화된 BER 성능 분석

초록

1/Q phase unbalance caused by non-ideal circuit components is inevitable physical phenomenons and leads to performance degradation when we implement a practical coherent M-ary phase shift keying(M-PSK) demodulator In this paper, we present an exact and general expression involving two-dimensional Gaussian Q-functions for the bit error rate(BER) of uniform M-PSK with I/Q phase unbalance over an additive White Gaussian noise(AWGN channel. First we derive a BER expression for the k-th bit of 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 genera average BER expression for M-PSK with I/Q phase unbalance. This result can readily be applied to numerica evaluation for various cases of practical interest in an I/Q unbalanced M-PSK system, because the one and two dimensional Gaussian Q-functions can be easily and directly computed using commonly available mathematica software tools.

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