Digital communications
Advanced methods for I/Q imbalance compensation in communicationreceivers
IEEE Transactions on Signal Processing
An efficient approach to multivariate Nakagami-m distribution using Green's matrix approximation
IEEE Transactions on Wireless Communications
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Probability density functions (pdf's) are derived for the phase and amplitude (envelope) of the complex gain X +jY (j = √-1), where X and Y are two correlated non zero-mean Gaussian random variables. The pdf of the amplitude is derived as an infinite series, but reduces to a closed-form expression when the means are zero. The classical Rayleigh and Rician pdf's turn out to be special cases of the derived pdf. This pdf is used to analyze the error performance of non-coherent binary frequency shift keying (BFSK) with in-phase/quadrature(I/Q) imbalance over an additive white Gaussian noise (AWGN) channel. The resulting bit error rate (BER) expression is derived as an infinite series. The analytical expressions are validated by simulation, and the I/Q imbalance related performance degradation is quantified. Convergence of the PDF series and the BER series is established.