Analysis and computation of optimal bounds of bi-directional frames

Xiaofang Chen, Cishen Zhang, Jingxin Zhang

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearch

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 languageEnglish
Title of host publicationProceedings of the 8th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2011
Subtitle of host publicationNoordwijkerhout, Netherlands; 28-31 July 2011
Place of PublicationSetúbal, Portugal
PublisherScitepress
Pages243-250
Number of pages8
Volume1
ISBN (Print)9789898425744
Publication statusPublished - 2011
EventInternational Conference on Informatics in Control, Automation and Robotics 2011 - Noordwijkerhout, Netherlands
Duration: 28 Jul 201131 Jul 2011
Conference number: 8th
http://www.icinco.org/ICINCO2011/
https://link.springer.com/book/10.1007%2F978-3-642-31353-0 (Proceedings)

Conference

ConferenceInternational Conference on Informatics in Control, Automation and Robotics 2011
Abbreviated titleICINCO 2011
CountryNetherlands
CityNoordwijkerhout
Period28/07/1131/07/11
OtherICINCO 2011 was held in conjunction with SIMULTECH 2011
Internet address

Keywords

  • Frames
  • Linear systems
  • Mixed causal-anticausal realizations
  • State space equations

Cite this

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, pp. 243-250). Scitepress.