On the frequency response of scalar discrete-time systems
type: Item
instance of: scholarly article
title: On the frequency response of scalar discrete-time systems
zbMATH Open document ID: 0942.93028
DOI: 10.1016/S0005-1098(99)00062-X
author: Bernardo A. León de la Barra
author: Raúl Prieto
published in: Automatica
publication date: 1999-12-02T00:00:00Z
review text: Gain and phase characteristics of real and complex discrete-time zeros and poles are considered. The frequency response of polynomials in \(z\) is obtained by varying \(z\) around the unit circle. The minimum and the maximum of the gain values are determined for different parameters. For conjugate complex discrete-time zeros, the behaviour of gain and phase strongly depends on the position of the zeros in the complex \(z\)-plane. The behaviour for different regions is investigated. The application of the results is illustrated by a controller design example.
Mathematics Subject Classification ID: 93C80
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 1355388
zbMATH Keywords: Bode-diagrams
zbMATH Keywords: gain and phase characteristics
zbMATH Keywords: discrete-time
zbMATH Keywords: frequency response
zbMATH Keywords: zeros
MaRDI profile type: Publication
Wikidata QID: Q126857442
full work available at URL: s0005-1098(99)00062-x
OpenAlex ID: W2161164294
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description: scientific article; zbMATH DE number 1355388