On the realization of band-pass type systems for bounded bandlimited signals

Holger Boche; Ullrich J. Mönich

doi:10.1109/ICASSP.2010.5495879

On the realization of band-pass type systems for bounded bandlimited signals

Holger Boche, Ullrich J. Mönich

Technische Universität Berlin

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

Abstract

In this paper we analyze band-pass type systems that operate on bounded bandlimited signals. For a very general class of band-pass type systems, we prove that there exists no linear realization of the systems in this class. Since ideal band-pass type systems are included in this class, it follows that there exists no linear realization of ideal band-pass type systems. This result is obtained under very general assumptions. For example, we do not assume the systems to be time-invariance. Finally, it is shown that a non-linear realization of band-pass type systems is possible.

Original language	English
Title of host publication	2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3702-3705
Number of pages	4
ISBN (Print)	9781424442966
DOIs	https://doi.org/10.1109/ICASSP.2010.5495879
State	Published - 2010
Externally published	Yes
Event	2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Dallas, TX, United States Duration: 14 Mar 2010 → 19 Mar 2010

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)	1520-6149

Conference

Conference	2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010
Country/Territory	United States
City	Dallas, TX
Period	14/03/10 → 19/03/10

Keywords

Band-pass
Linear realization
Low-pass
Stable
System

Access to Document

10.1109/ICASSP.2010.5495879

Cite this

Boche, H., & Mönich, U. J. (2010). On the realization of band-pass type systems for bounded bandlimited signals. In 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings (pp. 3702-3705). Article 5495879 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2010.5495879

Boche, Holger ; Mönich, Ullrich J. / On the realization of band-pass type systems for bounded bandlimited signals. 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2010. pp. 3702-3705 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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abstract = "In this paper we analyze band-pass type systems that operate on bounded bandlimited signals. For a very general class of band-pass type systems, we prove that there exists no linear realization of the systems in this class. Since ideal band-pass type systems are included in this class, it follows that there exists no linear realization of ideal band-pass type systems. This result is obtained under very general assumptions. For example, we do not assume the systems to be time-invariance. Finally, it is shown that a non-linear realization of band-pass type systems is possible.",

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Boche, H & Mönich, UJ 2010, On the realization of band-pass type systems for bounded bandlimited signals. in 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings., 5495879, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 3702-3705, 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010, Dallas, TX, United States, 14/03/10. https://doi.org/10.1109/ICASSP.2010.5495879

On the realization of band-pass type systems for bounded bandlimited signals. / Boche, Holger; Mönich, Ullrich J.
2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2010. p. 3702-3705 5495879 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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

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Boche H, Mönich UJ. On the realization of band-pass type systems for bounded bandlimited signals. In 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2010. p. 3702-3705. 5495879. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2010.5495879

On the realization of band-pass type systems for bounded bandlimited signals

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Keywords

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