A New Approach for ARMA Pole Estimation Using Higher-Order Crossings

Fuente: arXiv
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Hauptverfasser: Salsbury, Timothy I., Singhal, Ashish
Format: Preprint
Veröffentlicht: 2026
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author Salsbury, Timothy I.
Singhal, Ashish
author_facet Salsbury, Timothy I.
Singhal, Ashish
contents The paper describes a new method for estimating the poles of an ARMA model using higher-order crossings. The method involves transforming counts of crossing events into estimates of ARMA poles via the autocorrelation domain. An important advantage of the method is that the crossing counts are the only features that need to be stored from the original data. The poles of an ARMA model of a control loop correspond to the roots of the characteristic equation and are thus useful for evaluating control performance.
format Preprint
id arxiv_https___arxiv_org_abs_2605_20483
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A New Approach for ARMA Pole Estimation Using Higher-Order Crossings
Salsbury, Timothy I.
Singhal, Ashish
Signal Processing
Systems and Control
The paper describes a new method for estimating the poles of an ARMA model using higher-order crossings. The method involves transforming counts of crossing events into estimates of ARMA poles via the autocorrelation domain. An important advantage of the method is that the crossing counts are the only features that need to be stored from the original data. The poles of an ARMA model of a control loop correspond to the roots of the characteristic equation and are thus useful for evaluating control performance.
title A New Approach for ARMA Pole Estimation Using Higher-Order Crossings
topic Signal Processing
Systems and Control
url https://arxiv.org/abs/2605.20483