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In this paper, we develop a comprehensive theoretical framework for analyzingthe performance of reconfigurable intelligent surfaces (RISs)-assistedcommunication systems over generalized fading channels and in the presence ofphase noise. To this end, we propose the Fox's H model as a unified fadingdistribution for a large number of widely used generalized fading channels. Inparticular, we derive a unified analytical framework for computing the outageprobability and for estimating the achievable diversity order of RIS-aidedsystems in the presence of phase shifts that either are optimally configured orare impaired by phase noise. The resulting expressions are general, as theyhold for an arbitrary number of reflecting elements, and various channel fadingand phase noise distributions. As far as the diversity order is concerned,notably, we introduce an asymptotic analytical framework for determining thediversity order in the absence of phase noise, as well as sufficient conditionsbased on upper bounds and lower bounds for ensuring that RIS-assisted systemsachieve the full diversity order in the presence of phase noise. Morespecifically, if the absolute difference between pairs of phase errors is lessthan $\pi/2$, RIS-assisted communications achieve the full diversity order overindependent fading channels, even in the presence of phase noise. Thetheoretical frameworks and findings are validated with the aid of Monte Carlosimulations.

Performance Evaluation and Diversity Analysis of RIS-Assisted Communications Over Generalized Fading Channels in the Presence of Phase Noise