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Recursive least squares filter

About: Recursive least squares filter is a research topic. Over the lifetime, 8907 publications have been published within this topic receiving 191933 citations.


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Journal ArticleDOI
TL;DR: An estimator that uses the recursive linear least-squares algorithm to fit the equation Ptr = RV + EV + K to measurements of tracheal pressure and flow is developed and is able to track rapid changes in respiratory mechanical parameters during bronchoconstrictor challenge.
Abstract: Continuous estimation of time-varying respiratory mechanical parameters is required to fully characterize the time course of bronchoconstriction. To achieve such estimation, we developed an estimat...

132 citations

Journal ArticleDOI
TL;DR: In this paper, a weighted least squares solution to general coupled Sylvester matrix equations is proposed to solve the problem, and the optimal step sizes such that the convergence rates of the algorithms are maximized and established.

132 citations

Journal ArticleDOI
TL;DR: This paper considers the parameter identification for Hammerstein controlled autoregressive systems by using the key term separation technique to express the system output as a linear combination of the system parameters, and then a hierarchical least squares algorithm is developed for estimating all parameters involving in the subsystems.
Abstract: Mathematical models are basic for designing controller and system identification is the theory and methods for establishing the mathematical models of practical systems. This paper considers the parameter identification for Hammerstein controlled autoregressive systems. Using the key term separation technique to express the system output as a linear combination of the system parameters, the system is decomposed into several subsystems with fewer variables, and then a hierarchical least squares (HLS) algorithm is developed for estimating all parameters involving in the subsystems. The HLS algorithm requires less computation than the recursive least squares algorithm. The computational efficiency comparison and simulation results both confirm the effectiveness of the proposed algorithms.

132 citations

Journal ArticleDOI
TL;DR: A new K-L technique is described that overcomes some of the limitations of the earlier procedures and is suggested that it is particularly useful for pattern recognition when combined with classification procedures based upon discriminant functions obtained by recursive least squares analysis.

132 citations

Journal ArticleDOI
TL;DR: A novel algorithm and architecture are described which have specific application to high performance, digital, adaptive beamforming and have many desirable features for very large scale integration (VLSI) system design.
Abstract: A novel algorithm and architecture are described which have specific application to high performance, digital, adaptive beamforming. It is shown how a simple, linearly constrained adaptive combiner forms the basis for a wide range of adaptive antenna subsystems. The function of such an adaptive combiner is formulated as a recursive least squares minimization operation and the corresponding weight vector is obtained by means of the Q-R decomposition algorithm using Givens rotations. An efficient pipelined architecture to implement this algorithm is also described. It takes the form of a triangular systolic/wavefront array and has many desirable features for very large scale integration (VLSI) system design.

131 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202356
2022104
2021172
2020228
2019234
2018237