Exact Error Probability Expressions for Arbitrary Two-Dimensional Signaling with I / Q Unbalances over Nakagami-m Fading Channels

Recently, we provided closed-form expressions involving two-dimensional (2-D) joint Gaussian Q-function for the symbol error rate (SER) and bit error rate (BER) of an arbitrary 2-D signal with I/Q unbalances over an additive white Gaussian noise (AWGN) channel [1]. In this paper, we extend the expressions to Nakagami-m fading channels. Using Craig’s representation of the 2-D Gaussian Q-function, we derive an exact and general expression for the error probabilities of arbitrary 2-D signaling with I/Q phase and amplitude unbalances over Nakagami-m fading channels.

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