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A New Framework for the Performance Analysis of Wireless Communications under Hoyt (Nakagami-q) Fading Romero-Jerez, Juan Manuel López-Martínez, Francisco Javier Ondas electromagnéticas -- Propagación (c) 20xx IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. DOI:10.1109/TIT.2017.2655342 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 the 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. 2017-07-27T09:48:47Z 2017-07-27T09:48:47Z 2017 2017 journal article J. M. Romero-Jerez and F. J. Lopez-Martinez, "A New Framework for the Performance Analysis of Wireless Communications Under Hoyt (Nakagami- $q$ ) Fading," in IEEE Transactions on Information Theory, vol. 63, no. 3, pp. 1693-1702, March 2017. 0018-9448 http://hdl.handle.net/10630/14393 eng open access by-nc-nd IEEE