A New Framework for the Performance Analysis of Wireless Communications under Hoyt (Nakagami-q) Fading

Abstract

We present a novel relationship between the distribution of circular and non-circular complex Gaussian random variables. Specifically, we show that the distribution of the squared norm of a non-circular complex Gaussian random variable, usually referred to as squared Hoyt distribution, can be constructed from a conditional exponential distribution. From this fundamental connection we introduce a new approach, the Hoyt transform method, that allows to analyze the performance of a wireless link under Hoyt (Nakagami-q) fading in a very simple way. We illustrate that many performance metrics for Hoyt fading can be calculated by leveraging well-known results for Rayleigh fading and only performing a finite-range integral. We use this technique to obtain novel results for some information and communication-theoretic metrics in Hoyt fading channels.

The manuscript has been submitted to IEEE Transactions on Information Theory. It contains 28 pages and 7 figures

References in corpus (1)

• MGF Approach to the Analysis of Generalized Two-Ray Fading Models

Cited by in corpus (6)

• The $\kappa$-$\mu$ Shadowed Fading Model: Unifying the $\kappa$-$\mu$ and $\eta$-$\mu$ Distributions
• Unveiling the Hyper-Rayleigh Regime of the Fluctuating Two-Ray Fading Model
• On the Calculation of the Incomplete MGF with Applications to Wireless Communications
• On the Equivalence between Interference and Eavesdropping in Wireless Communications
• On the Transmission Probabilities in Quantum Key Distribution Systems over FSO Links
• Statistical Characterization of Second Order Scattering Fading Channels