Determination of transfer function of two dimensional generalised systems using the discrete Fourier transform

G Antoniou, SE Mentzelopoulou, GO Glentis - 1991 - digitalcommons.montclair.edu
A systematic and conceptually simple algorithm is presented for the determination of the
transfer function for two-dimensional generalised or singular systems. The method uses the …

Computing the transfer function for second-order 2D systems

GE Antoniou, MT Michael - … on Circuits and Systems (IEEE Cat …, 2004 - ieeexplore.ieee.org
In this paper the discrete Fourier transform is used to determine the coefficients of a transfer
function of a new two-dimensional system model of second-order: x (i/sub 1/+ 2, i/sub 2/+ 2) …

Time-Varying Matrix Inverse

Y Zhang, D Guo, Y Zhang, D Guo - Zhang Functions and Various Models, 2015 - Springer
In this chapter, focusing on time-varying matrix inversion, we propose, generalize, develop,
and investigate different ZFs that lead to different ZD models. Meanwhile, a specific …

Evaluation of generalised quadratic cost functionals for linear systems with many commensurate time delays

C Hwang, FP Chang - IEE Proceedings-Control Theory and Applications, 2002 - IET
A general analytic method for the evaluation of generalised quadratic integrals of the form
Jμ, ν (σ)=∫ 0∞ tμexp (σt)(dνe (t)/dtν) 2dt, where μ and ν are integers and e (t) is the error …

Mixed matrix sign function/DFT inversion method for solving parameter-dependent Riccati equation

J Guerra, M Yagoubi, P Chevrel - Journal of the Franklin Institute, 2015 - Elsevier
This paper proposes a tractable iterative scheme for computing parameter-dependent matrix
sign function. It relies upon two results:(i) a fraction expansion of the matrix sign principal …

The evaluation of cross-correlation sequences for 2D ARMA processes [recursive filters]

C Kwang, JH Hwang, SY Tsay - IEEE Transactions on Circuits …, 1999 - ieeexplore.ieee.org
This paper presents a general method of evaluating cross-correlation sequences and
double-complex integrals for two-dimensional autoregressive moving average processes …

Random Scaling of Quasi-Newton BFGS Method to Improve the O(N2)-operation Approximation of Covariance-matrix Inverse in Gaussian Process

Y Zhang, WE Leithead, DJ Leith - 2007 IEEE 22nd International …, 2007 - ieeexplore.ieee.org
Gaussian process (GP) is a Bayesian nonparametric regression model, showing good
performance in various applications. Similar to other computational models, Gaussian …

Variance and covariance computations for 2-D ARMA processes

JH Hwang, SY Tsay, C Hwang - Multidimensional Systems and Signal …, 1999 - Springer
An algorithm is presented to compute the variance of the output of a two-dimensional (2-D)
stable auto-regressive moving-average (ARMA) process driven by a white noise bi …

Numerical computation of cross‐covariance functionals for linear systems with multiple time delays

JH Hwang, SY Tsay, C Hwang - Journal of the Chinese Institute of …, 1998 - Taylor & Francis
The problem of evaluating a cross‐covariance functional of the form 1/2πi? i8‐i8 F (s) G (‐s)
ds arises, eg, in parametric optimization of linear systems and in optimal linear filtering. In …

Determination of the transfer matrix of multidimensional-singular systems

GO Glentis, GE Antoniou… - International journal of …, 1993 - Taylor & Francis
A computationally simple algorithm for determining the transfer function of multidimensional
singular systems, described by a state-space model based on the Givone-Roesser state …