Abstract
The analysis of communication systems involves the study of the effects of noise on the ability to transmit information. Additionally, the presence of fading and shadowing in wireless channels results in signal strength fluctuations. All these factors demand an understanding of the properties of random variables. We review the concepts of random variables in detail. In the updated sections (second edition), parameter estimation techniques are presented within the context of modeling the statistical fluctuations. This is followed by the study of statistical testing for the validation of models for fading and shadowing. Receiver operating characteristics are discussed within the context of cognitive radio. A detailed exposition of Laplace and Mellin transforms for application in wireless is presented. Matlab scripts relevant to the newer sections are provided along with Maple scripts if necessary.
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Shankar, P.M. (2017). Concepts of Probability and Statistics. In: Fading and Shadowing in Wireless Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-53198-4_2
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