The continuous development of various wireless communication system services leads to a permanent necessity of analyzing the possibility of their performance improvement. Unfortunately, signal propagation in the wireless medium is accompanied by various side effects and drawbacks such as multipath fading and shadowing. Mathematical characterization of these complex phenomena, which describes various types of propagation environments, has been presented in Chapter 2. First, various models, already known in the literature, such as Rayleigh, Rician, Hoyt, Nakagami-m, Weibull, https://www.w3.org/1998/Math/MathML"> α - μ , η - μ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429086496/6f2a715f-b5a8-4e0b-b00c-7c28bfe4886f/content/eq3.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> , and κ-μ fading models, used for the statistical modeling of multipath influence, have been introduced. Then, some models for statistical modeling of shadowing influence, such as log-normal and gamma shadowing model, are presented. Finally, composite models are discussed, which correspond to the scenario when multipath fading is superimposed on shadowing. Suzuki, Rician-shadowing, and generalized K composite fading models have been discussed. Further analysis has been extended in Chapter 3, where some correlative fading models have been introduced, considering exponential, constant, and general types of correlation between random processes. In Chapter 4, several performance measures related to the wireless communication system design, such as average signal-to-noise ratio, outage probability, average symbol error probability, amount of fading, level crossing rate, and average fade duration, have been defined and mathematically modeled. Basic concepts of several space diversity reception techniques, such as maximal ratio combining, equal gain combining, selection combining, and switch-and-stay combining, have also been portrayed, with emphasis on the evaluation of reception performance measures. Necessity and the validity of space diversity technique usage, from the point of view of multipath fading and CCI influence mitigation, have been shown in Chapter 5, where single-channel receiver performances have 2been evaluated for a few general propagation models. Performance improvement at the receiver, achieved by application of diversity reception techniques through the standard performance criteria, has been considered in Chapter 6. Cases of uncorrelated multichannel reception, like diversity reception cases over correlated fading channels, have also been analyzed. Necessity and validity of the macrodiversity reception usage, from the point of view of multipath fading and shadowing mitigation through the second-order statistical measures at the output of the macrodiversity receiver, have been considered in Chapter 7. Finally, in Chapter 8, channel capacity analysis under various adaptation policies and diversity techniques over fading channels has been provided.