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A general transfer-function approach to the steady-state linear quadratic Gaussian stochastic control problem

International Journal of Control, 1976
A comprehensive treatment of the steady-state linear quadratic Gaussian stochastic control problem which is based on the transfer-function point of view is presented. The optimal solution is found, for the general multivariable case, by exploiting the properties of the newly defined generalized spectral factors.
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Estimating transfer functions of quadratically nonlinear systems

[1991] Conference Record of the Twenty-Fifth Asilomar Conference on Signals, Systems & Computers, 2002
Sinusoidal and white noise input methods have previously been developed for estimating linear or higher order transfer functions of nonlinear systems. The authors describe a colored noise input method, which is based on partitioning the frequency band of interest into subbands, which results in less aliasing in the output and allows for greater ...
Y.-C. Tseng, D.A. Linebarger
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Digital estimation of linear/Quadratic transfer functions with a general random input

ICASSP '86. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005
A new digital method of estimating linear and quadratic transfer functions of a quadratic system with a general random input is presented. The feasibility of the technique is demonstrated by analyzing simulated data. It is also shown that considerable error occurs in estimating the transfer functions based on a Gaussian input assumption, when in fact ...
Kyoung Il Kim, Edward J. Powers
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Aliasing effects on estimating transfer functions of quadratically nonlinear systems

[1992] Conference Record of the Twenty-Sixth Asilomar Conference on Signals, Systems & Computers, 2003
Previous methods developed for estimating transfer functions in the frequency domain with stochastic inputs failed to completely establish the link between the frequency domain estimates and the true system coefficients. By taking aliasing effects into consideration, the authors develop a robust scheme to estimate the time domain system coefficients of
Y.-C. Tseng, D.A. Linebarger
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Fast reconstruction of the aberrated scanning lithographic image by a quadratic imaging model and an integral transfer function

Applied Optics, 2020
Since the pupil function is defined as a time-invariant system, the traditional partially coherent imaging model is time-consuming to calculate the effect of spatially varying wavefront aberrations on the scanning image. A fast reconstruction method of the aberrated scanning aerial image is presented for the scanning projection lithographic tool.
Zhiyong Yang   +3 more
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Design of multivariable linear‐quadratic controllers using transfer functions

AIChE Journal, 1987
AbstractOptimal linear‐quadratic (LQ) controller design is usually associated with state space techniques. However, when one has measurements of the outputs to be controlled, there are many advantages to designing these LQ controllers using input‐output transfer function models.
T. J. Harris, J. F. Macgregor
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Quadratic-inverse estimates of transfer functions

[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing, 2003
Estimating transfer functions between time series is essentially regression in the frequency domain but significant differences occur when the available data sequences are short. The author suggests an estimate of transfer functions on narrow, overlapping frequency bands using a quadratic-inverse formalism.
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The Estimation of “Transfer Functions” of Quadratic Systems

Technometrics, 1961
In recent years the use of stationary random inputs as a forcing function to experimentally determine the transfer function of linear systems has become widespread. The procedure involves the measurement of spectra and crossspectra between the input and output and the formation of the proper ratio.
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Use of Quadratic Transfer Functions to Predict Response of Tension Leg Platforms

Journal of Engineering Mechanics, 1996
Higher-order nonlinear transfer functions are applied to model the computed nonlinear responses obtained from the dynamic analysis of a tension leg platform (TLP). Under the nonlinear wave-loading condition considered in the present study, the horizontal motion of TLP exhibits a significant amount of response components at frequencies that are outside ...
Inyeol Paik, Jose M. Roesset
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