Behavior of discrete-time linear systems of infinite order

Holger Boche

doi:10.1109/ICECS.1999.813429

Behavior of discrete-time linear systems of infinite order

Holger Boche

Heinrich Hertz Institute

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

In this paper the behavior of BIBO-stable (bounded input-bounded output) discrete-time LTI-systems (linear and time-invariant) is investigated. It is shown that for a certain class of LTI-systems the input output map is not given by the convolution sum. We use Sandberg's representation theorem for a complete characterization of all BIBO-stable LTI-systems of convolution type.

Original language	English
Title of host publication	Proceedings of ICECS 1999 - 6th IEEE International Conference on Electronics, Circuits and Systems
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1115-1118
Number of pages	4
ISBN (Electronic)	0780356829
DOIs	https://doi.org/10.1109/ICECS.1999.813429
State	Published - 1999
Externally published	Yes
Event	6th IEEE International Conference on Electronics, Circuits and Systems, ICECS 1999 - Pafos, Cyprus Duration: 5 Sep 1999 → 8 Sep 1999

Publication series

Name	Proceedings of the IEEE International Conference on Electronics, Circuits, and Systems
Volume	2

Conference

Conference	6th IEEE International Conference on Electronics, Circuits and Systems, ICECS 1999
Country/Territory	Cyprus
City	Pafos
Period	5/09/99 → 8/09/99

Access to Document

10.1109/ICECS.1999.813429

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Boche, H. (1999). Behavior of discrete-time linear systems of infinite order. In Proceedings of ICECS 1999 - 6th IEEE International Conference on Electronics, Circuits and Systems (pp. 1115-1118). Article 813429 (Proceedings of the IEEE International Conference on Electronics, Circuits, and Systems; Vol. 2). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICECS.1999.813429

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title = "Behavior of discrete-time linear systems of infinite order",

abstract = "In this paper the behavior of BIBO-stable (bounded input-bounded output) discrete-time LTI-systems (linear and time-invariant) is investigated. It is shown that for a certain class of LTI-systems the input output map is not given by the convolution sum. We use Sandberg's representation theorem for a complete characterization of all BIBO-stable LTI-systems of convolution type.",

author = "Holger Boche",

note = "Publisher Copyright: {\textcopyright} 1999 IEEE.; 6th IEEE International Conference on Electronics, Circuits and Systems, ICECS 1999 ; Conference date: 05-09-1999 Through 08-09-1999",

year = "1999",

doi = "10.1109/ICECS.1999.813429",

language = "English",

series = "Proceedings of the IEEE International Conference on Electronics, Circuits, and Systems",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "1115--1118",

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Boche, H 1999, Behavior of discrete-time linear systems of infinite order. in Proceedings of ICECS 1999 - 6th IEEE International Conference on Electronics, Circuits and Systems., 813429, Proceedings of the IEEE International Conference on Electronics, Circuits, and Systems, vol. 2, Institute of Electrical and Electronics Engineers Inc., pp. 1115-1118, 6th IEEE International Conference on Electronics, Circuits and Systems, ICECS 1999, Pafos, Cyprus, 5/09/99. https://doi.org/10.1109/ICECS.1999.813429

Behavior of discrete-time linear systems of infinite order. / Boche, Holger.
Proceedings of ICECS 1999 - 6th IEEE International Conference on Electronics, Circuits and Systems. Institute of Electrical and Electronics Engineers Inc., 1999. p. 1115-1118 813429 (Proceedings of the IEEE International Conference on Electronics, Circuits, and Systems; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - In this paper the behavior of BIBO-stable (bounded input-bounded output) discrete-time LTI-systems (linear and time-invariant) is investigated. It is shown that for a certain class of LTI-systems the input output map is not given by the convolution sum. We use Sandberg's representation theorem for a complete characterization of all BIBO-stable LTI-systems of convolution type.

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Boche H. Behavior of discrete-time linear systems of infinite order. In Proceedings of ICECS 1999 - 6th IEEE International Conference on Electronics, Circuits and Systems. Institute of Electrical and Electronics Engineers Inc. 1999. p. 1115-1118. 813429. (Proceedings of the IEEE International Conference on Electronics, Circuits, and Systems). doi: 10.1109/ICECS.1999.813429

Behavior of discrete-time linear systems of infinite order

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