The modified Yule-Walker method of ARMA spectral estimation

B Friedlander, B Porat - IEEE Transactions on Aerospace and …, 1984 - ieeexplore.ieee.org
An overview of ARMA spectral estimation techniques based on the modified Yule-Walker
equations is presented. The importance of using order overestimation, as well as of using an …

Efficient solution of a Toeplitz-plus-Hankel coefficient matrix system of equations

G Merchant, T Parks - IEEE Transactions on Acoustics, Speech …, 1982 - ieeexplore.ieee.org
There are well-known fast algorithms, such as the Levinson recursion, for solving linear
equations with a Toeplitz (or Hankel) coefficient matrix. This paper extends the saving …

Adaptive algorithms for constrained ARMA signals in the presence of noise

A Nehorai, P Stoica - IEEE Transactions on Acoustics, Speech …, 1988 - ieeexplore.ieee.org
A family of algorithms is developed for adaptive parameter estimation of constrained
autoregressive moving-average (ARMA) signals in the presence of noise. These algorithms …

Cramer-Rao bounds for deterministic modal analysis

T McWhorter, LL Scharf - IEEE Transactions on Signal …, 1993 - ieeexplore.ieee.org
The accuracy with which deterministic modes can be identified from a finite record of noisy
data is determined by computing the Cramer-Rao bound on the error covariance matrix of …

Adaptive notch filter by direct frequency estimation

BS Chen, TY Yang, BH Lin - Signal Processing, 1992 - Elsevier
In this paper, an adaptive notch filter is investigated for eliminating sinusoids imbedded in
noise. The algorithm estimates the sinusoidal frequencies directly from data samples to …

On the computation of the Cramer-Rao bound for ARMA parameter estimation

B Friedlander - IEEE transactions on acoustics, speech, and …, 1984 - ieeexplore.ieee.org
The Cramer-Rao lower bound (CRLB) provides a useful tool for evaluating the performance
of parameter estimation techniques. Several techniques for the computation of the …

The Euclid algorithm and the fast computation of cross-covariance and autocovariance sequences

CJ Demeure, CT Mullis - IEEE Transactions on Acoustics …, 1989 - ieeexplore.ieee.org
A simple linear procedure is given to compute the cross-covariance sequence associated
with the outputs of two rational digital transfer functions driven by the same white noise …

Equation error versus output error methods

Y Tomita, AAH Damen, PMJVANDEN HOF - Ergonomics, 1992 - Taylor & Francis
For the identification of linear processes on the basis of ARX-models, equation error least
squares (EELS)(often indicated as the one step ahead prediction error method) is frequently …

A Newton-Raphson method for moving-average spectral factorization using the Euclid algorithm

CJ Demeure, CT Mullis - IEEE transactions on acoustics …, 1990 - ieeexplore.ieee.org
An implementation of the Newton-Raphson approach to compute the minimum phase
moving-average spectral factor of a finite positive definite correlation sequence is presented …

Information tradeoffs in using the sample autocorrelation function in ARMA parameter estimation

S Bruzzone, M Kaveh - IEEE transactions on acoustics, speech …, 1984 - ieeexplore.ieee.org
This paper considers bounds on the statistical efficiency of estimators of the poles and zeros
of an ARMA process based on estimates of the process autocorrelation function (ACF) …