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In this paper, we present a polynomial H∞ channel estimator for DS-CDMA systems with time-varying multipath fading channels which suffer from the lack of accurate knowledge of model dynamics and statistics of system noises. The algorithm is based on the Krein space theory and requires one J-spectral factorization. Compared with standard H∞ filter, the proposed algorithm is of lower computational complexity...
This paper addresses the problem of tracking of time-varying mobile radio channels with time-varying parameters, and the channels are modeled as auto-regressive (AR) models. A polynomial H-infinity channel filter in Krein space is designed for the tracking problem. With the help of an ARMA innovation model, the solution to the tracking problem can be obtained. The H-infinity channel estimators are...
This paper is concerned with steady-state risk-sensitive filtering, prediction and smoothing problems for discrete-time singular systems. It is shown that a risk-sensitive estimator can be obtained by ensuring the minimum of an indefinite quadratic form to be maximum (minimum) when the risk-sensitivity parameter θ is negative (positive). An auxiliary state-space signal model and an innovation sequence...
This paper deals with the J-spectral factorization for general discrete rational matrices. A simple approach based on the Kalman filtering in Krein space is proposed. The main idea is to construct a stochastic state space filtering model in Krein space such that the spectral matrix of the output is equal to the rational matrix to be factorized. The spectral factor is then easily derived by using the...
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