Signal processing and sampling method for obtaining time series corresponding to higher order derivatives
type: Item
instance of: scholarly article
title: Signal processing and sampling method for obtaining time series corresponding to higher order derivatives
zbMATH Open document ID: 1191.94076
DOI: 10.1155/2010/913147
author: Alexandru Toma
author: Andreea Rodica Sterian
published in: Mathematical Problems in Engineering
publication date: 2010-04-23T00:00:00Z
full work available at URL: https://eudml.org/doc/225533
review text: Summary: For modeling and controlling dynamic phenomena it is important to establish with higher accuracy some significant quantities corresponding to the dynamic system. For fast phenomena, such significant quantities are represented by the derivatives of the received signals. In case of advanced computer modeling, the received signal should be filtered and converted into a time series corresponding to the estimated values for the dynamic system through a sampling procedure. This paper will show that present-day methods for computing in a robust manner the first derivative of a received signal (using an oscillating system working on a limited time interval and a supplementary differentiation method) can be extended to the robust computation of higher order derivatives of the received signal by using a specific set of second-order oscillating systems (working also on limited time intervals) so as estimative values for higher-order derivatives are to be directly generated (avoiding the necessity of additional differentiation or amplifying procedures, which represent a source of supplementary errors in present-day methods).
Mathematics Subject Classification ID: 94A20
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 62M10
zbMATH DE Number: 5700525
Wikidata QID: Q58653414
MaRDI profile type: Publication
OpenAlex ID: W2127714893
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description: scientific article; zbMATH DE number 5700525