Algoritmo de Controle de Potência Distribuído Fundamentado no Modelo Populacional de Verhulst

Abstract

In this paper the continuous dynamic model of Verhulst is used. It had been elaborated initially to describe the population growth of biological species with food and physical space restrictions, in order to synthesize a new Distributed Power Control Algorithm (DPCA) applicable in Direct Sequence Code Division Multiple Access (DSCDMA) systems. The discretization of the corresponding differential equation is accomplished via Numeric Integration Euler method (NIE). Analytical convergence conditions for the proposed DPCA were also established. The properties of the proposed recursive algorithm, as Euclidian distance from optimum vector after convergence, convergence speed, Normalized mean Squared Error (NSE), average power consumption per user and implementation complexity are investigated through simulations. The simulation results are confronted with two another DPCA: the classic algorithm derived by Foschini and Miljanic and the sigmoidal of Uykan and Koivo. With estimation errors the proposed DPCA showed smaller discrepancy from the optimum power vector allocation after convergence and better convergence. Additionally, the Gerschgorin Circles theory (GC) is applied for the feasibility of the power allocation problem.