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López-Martínez, Francisco Javier Romero-Jerez, Juan Manuel París-Ángel, José Francisco 2017-07-27T09:51:11Z 2017-07-27T09:51:11Z 2017 F. J. Lopez-Martinez, J. M. Romero-Jerez and J. F. Paris, "On the Calculation of the Incomplete MGF With Applications to Wireless Communications," in IEEE Transactions on Communications, vol. 65, no. 1, pp. 458-469, Jan. 2017. 0090-6778 http://hdl.handle.net/10630/14394 The incomplete moment generating function (IMGF) has paramount relevance in communication theory, since it appears in a plethora of scenarios when analyzing the performance of communication systems. We here present a general method for calculating the IMGF of any arbitrary fading distribution. Then, we provide exact closed-form expressions for the IMGF of the very general κ-μ shadowed fading model, which includes the popular κ-μ, η-μ, Rician shadowed, and other classical models as particular cases. We illustrate the practical applicability of this result by analyzing several scenarios of interest in wireless communications: 1) physical layer security in the presence of an eavesdropper; 2) outage probability analysis with interference and background noise; 3) channel capacity with side information at the transmitter and the receiver; and 4) average bit-error rate with adaptive modulation, when the fading on the desired link can be modeled by any of the aforementioned distributions. eng open access by-nc-nd Ondas electromagnéticas -- Propagación On the Calculation of the Incomplete MGF with Applications to Wireless Communications journal article