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Generalized BER Performance Analysis for Uniform M-PSK with I/Q Phase Unbalance  

Lee Jae-Yoon (한양대학교 전자통신컴퓨터공학부)
Yoon Dong-Weon (한양대학교 전자통신컴퓨터공학부)
Hyun Kwang-Min (원주대학 정보통신과)
Park Sang-Kyu (한양대학교 전자통신컴퓨터공학부)
Abstract
I/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 general average BER expression for M-PSK with I/Q phase unbalance. This result can readily be applied to numerical 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 mathematical software tools.
Keywords
M-PSK; I/Q Phase Unbalance; BER;
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