Analysis and computation of optimal bounds of bi-directional frames

Xiaofang Chen; Cishen Zhang; Jingxin Zhang

Analysis and computation of optimal bounds of bi-directional frames

Xiaofang Chen
, Cishen Zhang
, Jingxin Zhang

Electrical and Computer Systems Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

Abstract

Frames are mathematical tools which can represent redundancies in many application problems. In the studies of frames, the frame bounds and frame bound ratio are very important indices characterizing the robustness and numerical performance of frame systems. In this paper, the frame bounds of a class of frame, which can be modeled by the bi-directional impulse response of linear time systems, are analyzed and computed. By using the state space approach, the tightest lower and upper frame bounds can be directly and efficiently computed.

Original language	English
Title of host publication	Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2011
Subtitle of host publication	Noordwijkerhout, Netherlands; 28-31 July 2011
Place of Publication	Setúbal, Portugal
Publisher	Scitepress
Pages	243-250
Number of pages	8
Volume	1
ISBN (Print)	9789898425744
Publication status	Published - 2011
Event	International Conference on Informatics in Control, Automation and Robotics 2011 - Noordwijkerhout, Netherlands Duration: 28 Jul 2011 → 31 Jul 2011 Conference number: 8th http://www.icinco.org/ICINCO2011/ https://link.springer.com/book/10.1007%2F978-3-642-31353-0 (Proceedings)

Conference

Conference	International Conference on Informatics in Control, Automation and Robotics 2011
Abbreviated title	ICINCO 2011
Country/Territory	Netherlands
City	Noordwijkerhout
Period	28/07/11 → 31/07/11
Other	ICINCO 2011 was held in conjunction with SIMULTECH 2011
Internet address	http://www.icinco.org/ICINCO2011/ https://link.springer.com/book/10.1007%2F978-3-642-31353-0 (Proceedings)

Keywords

Frames
Linear systems
Mixed causal-anticausal realizations
State space equations

Cite this

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title = "Analysis and computation of optimal bounds of bi-directional frames",

abstract = "Frames are mathematical tools which can represent redundancies in many application problems. In the studies of frames, the frame bounds and frame bound ratio are very important indices characterizing the robustness and numerical performance of frame systems. In this paper, the frame bounds of a class of frame, which can be modeled by the bi-directional impulse response of linear time systems, are analyzed and computed. By using the state space approach, the tightest lower and upper frame bounds can be directly and efficiently computed.",

keywords = "Frames, Linear systems, Mixed causal-anticausal realizations, State space equations",

author = "Xiaofang Chen and Cishen Zhang and Jingxin Zhang",

year = "2011",

language = "English",

isbn = "9789898425744",

volume = "1",

pages = "243--250",

booktitle = "Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2011",

publisher = "Scitepress",

address = "Portugal",

note = "International Conference on Informatics in Control, Automation and Robotics 2011, ICINCO 2011 ; Conference date: 28-07-2011 Through 31-07-2011",

url = "http://www.icinco.org/ICINCO2011/, https://link.springer.com/book/10.1007\%2F978-3-642-31353-0",

}

Chen, X, Zhang, C & Zhang, J 2011, Analysis and computation of optimal bounds of bi-directional frames. in Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2011: Noordwijkerhout, Netherlands; 28-31 July 2011. vol. 1, Scitepress, Setúbal, Portugal, pp. 243-250, International Conference on Informatics in Control, Automation and Robotics 2011, Noordwijkerhout, Netherlands, 28/07/11.

Analysis and computation of optimal bounds of bi-directional frames. / Chen, Xiaofang; Zhang, Cishen; Zhang, Jingxin.
Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2011: Noordwijkerhout, Netherlands; 28-31 July 2011. Vol. 1 Setúbal, Portugal: Scitepress, 2011. p. 243-250.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

TY - GEN

T1 - Analysis and computation of optimal bounds of bi-directional frames

AU - Chen, Xiaofang

AU - Zhang, Cishen

AU - Zhang, Jingxin

N1 - Conference code: 8th

PY - 2011

Y1 - 2011

N2 - Frames are mathematical tools which can represent redundancies in many application problems. In the studies of frames, the frame bounds and frame bound ratio are very important indices characterizing the robustness and numerical performance of frame systems. In this paper, the frame bounds of a class of frame, which can be modeled by the bi-directional impulse response of linear time systems, are analyzed and computed. By using the state space approach, the tightest lower and upper frame bounds can be directly and efficiently computed.

AB - Frames are mathematical tools which can represent redundancies in many application problems. In the studies of frames, the frame bounds and frame bound ratio are very important indices characterizing the robustness and numerical performance of frame systems. In this paper, the frame bounds of a class of frame, which can be modeled by the bi-directional impulse response of linear time systems, are analyzed and computed. By using the state space approach, the tightest lower and upper frame bounds can be directly and efficiently computed.

KW - Frames

KW - Linear systems

KW - Mixed causal-anticausal realizations

KW - State space equations

UR - https://www.scopus.com/pages/publications/80052561642

M3 - Conference Paper

AN - SCOPUS:80052561642

SN - 9789898425744

VL - 1

SP - 243

EP - 250

BT - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2011

PB - Scitepress

CY - Setúbal, Portugal

T2 - International Conference on Informatics in Control, Automation and Robotics 2011

Y2 - 28 July 2011 through 31 July 2011

ER -

Analysis and computation of optimal bounds of bi-directional frames

Abstract

Conference

Keywords

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Cite this