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a r t i c l e i n f o a b s t r a c t Keywords: Kalman filter Lainiotis filter Discrete time Decentralized algorithms Analysis of algorithms Optimization A method to implement the optimal decentralized Kalman filter and the optimal decentralized Lainiotis filter is proposed; the method is based on the a priori determination of the optimal distribution of… (More)

— A Manchester code generator designed at transistor level with NMOS switches is presented. This generator uses 26 transistors and has the same complexity as a standard D flip-flop. It is intended to be used in a complex optical communication system. The main benefit of this design is the use of a clock signal running at the same frequency as the data.… (More)

The relation between the discrete time Lainiotis filter on the one side and the golden section and the Fibonacci sequence on the other is established. As far as the random walk system is concerned, the relation between the Lainiotis filter and the golden section is derived through the Riccati equation since the steady state estimation error covariance is… (More)

—A method to implement the optimal distributed Kalman and Lainiotis filters is proposed. The method is based on the a-priori determination of the optimal uniform distribution of the measurements into parallel processors, in the sense of minimizing the computation time. The resulting optimal Kalman and Lainiotis filters present high parallelism speedup. This… (More)

We present two time invariant models for Global Systems for Mobile (GSM) position tracking, which describe the movement in x-axis and y-axis simultaneously or separately. We present the time invariant filters as well as the steady state filters: the classical Kalman filter and Lainiotis Filter and the Join Kalman Lainiotis Filter, which consists of the… (More)

Keywords: Positive definite matrices Riccati equation Kalman filter Lainiotis filter Golden section Fibonacci sequence a b s t r a c t We consider the discrete time Kalman and Lainiotis filters for multidimensional stochastic dynamic systems and investigate the relation between the golden section, the Fibonacci sequence and the parameters of the filters.… (More)

In this paper we present two time invariant models mobile position tracking in three dimensions, which describe the movement in x-axis, y-axis and z-axis simultaneously or separately, provided that there exist measurements for the three axes. We present the time invariant filters as well as the steady state filters: the classical Kalman Filter and Lainiotis… (More)

An implementation of the time invariant Lainiotis filter using a Chandrasekhar type algorithm is presented and compared to the classical one. The size of model determines which algorithm is faster; a method is proposed to a-priori decide, which implementation is faster. In the infinite measurement noise case, the proposed method is always faster than the… (More)

—Algebraic and recursive methods for computing the extreme solutions of the matrix equations * 1 − + = X A X A Q and * 1 − − = X A X A Q are presented in this paper. The proposed algorithms are based on the solution of the corresponding discrete time Riccati equations.