Moments of Complex Gaussian Ratios | Zendy

Shaohan Wu | Zendy

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Moments of Complex Gaussian Ratios

Author(s) -

Shaohan Wu

Publication year - 2018

Publication title -

ieee communications letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.929

H-Index - 148

eISSN - 1558-2558

pISSN - 1089-7798

DOI - 10.1109/lcomm.2018.2883309

Subject(s) - gaussian , mathematics , antenna (radio) , mean squared error , method of moments (probability theory) , electrical impedance , statistics , computer science , mathematical optimization , telecommunications , physics , estimator , quantum mechanics

We study the moments of general complex Gaussian ratios (CGRs), whose numerator and denominator are correlated and have arbitrary mean. In particular, we calculate the mean of these ratios in a closed form and prove that the mean-square and higher order absolute moments are unbounded in general. Then, we show that the earlier results generalize existing results in the literature and apply the mean of general CGR in a novel problem of antenna impedance estimation at single-antenna receivers.

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