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We propose a new algorithm for distributed power control in cellular communication systems. We define a cost for each mobile that consists of a weighted sum of power and square of signal-to-interference ratio (SIR) error and obtain the static Nash equilibrium for the resulting costs. The algorithm requires only interference power measurements and/or SIR(More)
In this paper, we analyze the performance of a CDMA reverse link with an up/down power control algorithm in the presence of fading. We derive a stochastic nonlinear feedback control system model for the power controlled reverse link and study the power control performance based on the nonlinear model using the technique of statistical linearization. We(More)
In this paper, a stochastic uplink power control problem is considered for CDMA systems. A distributed algorithm is proposed based on stochastic linear quadratic optimal control theory assuming SIR measurements contain white noise. The proposed scheme minimize the sum of the variance of mobile’s transmission power and the variance of SIR error, with(More)
In this paper we show how to exactly decompose the algebraic Riccati equations of deterministic multimodeling in terms of one pure-slow and two pure-fast algebraic Riccati equations. The algebraic Riccati equations obtained are of reduced-order and nonsymmetric. However, their ( ) perturbations (where = and , are small positive singular perturbation(More)
The algebraic regulator and filter Riccati equations of weakly coupled dticrere-rime stochastic linear control systems are completely and exactly decomposed into reduced-order continuous-time algebraic Riccati equations corresponding to the subsystems. That is, the exact solution of the global discrete algebraic Riccati equation is found in terms of the(More)