임의의 2차원 변조기법의 심볼 오류 확률

Abstract

The I/Q unbalance which is generated by non-ideal components such as a 90℃ phase shifter and I/Q filters is an inevitable physical phenomenon and leads to performance degradation when we implement a coherent twodimensional (2-D) modulation/demodulation system. This thesis provides an exact and general expression for the SEP (Symbol Error Probability) of arbitrary 2-D signaling with I/Q phase and amplitude unbalance over an additive white Gaussian noise (AWGN) channel. Coordinate rotation and shift techniques used to redefine a received signal are key mathematical tools. In conclusion, the derived result is expressed as a linear combination of the 2-D Gaussian Q-functions. Because the result is the general and exact expression as a closed form, it can be easily expanded for arbitrary 2-D constellation and exactly calculated by computer program. Therefore, the result of this thesis is expected to provide an exact theoretical performance evaluation standard when we analyze a variety of digital communication systems using 2-D modulation method.