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General exact formulations for the outage probability and for the performance of a hybrid combining method in wireless communication systems

Flavio du Pin Calmon
Total Authors: 1
Document type: Master's Dissertation
Institution: Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Elétrica e de Computação
Defense date:
Examining board members:
Alvaro Augusto Machado de Medeiros; Paulo Cardieri
Advisor: Michel Daoud Yacoub

This work presents a useful, novel formulation for the outage probability in wireless communication systems, here named Joint Outage Probability (JOP). Given a set of signal-to-interferenceplus-noise ratio restrictions for mutually interfering signals, the JOP corresponds to the probability that at least one of the restrictions is not satisfied. A general exact solution for the JOP is derived, along with a necessary and sufficient condition for a non-trivial solution. In addition, a closed-form expression for the JOP in an independent non-identically distributed Rayleigh scenario is obtained. An application example of the formulations is presented by a power allocation problem. In addition, this work also introduces and investigates a general diversity combining scheme, here named MRCS, in which maximal-ratio combined signals are chosen on a selection combining basis. This combining method has a simple implementation and a tractable analytical formulation that can be directly applied to situations in which site selection exists. A general analysis of the probability distribution (reliability), level crossing rate, and average fade duration at the output of the combiner is provided, along with examples for a Nakagami-m fading environment. The main result of the MRCS analysis, however, is the derivation of an exact, easy-to-evaluate closed-form expression for the mean signal-to-noise ratio at the output of the combiner. Such an expression is applicable for conditions in which the product of the number of maximal ratio combining branches and the Nakagami-m parameter is an integer and it generalizes a result presented elsewhere in the literature. The formulations derived here find a direct applicability in the dimensioning of practical wireless networks (AU)