Analysis of a Class of Infinite Dimensional Frames

  • Cishen Zhang
  • Jingxin Zhang
  • Xiaofang Chen

Abstract

Frames are a mathematical tool which can represent redundancies in many application problems. In this article, a class of infinite dimensional and bi-directional frames are studied. It is shown that the infinite dimensional and bi-directional frames can be represented by milti-input, multi-output state space equations. Such a state space representation can enable the application of powerful linear system methods and numerical tools to the performance analysis and evaluation of frames.

Keywords

Frames Linear systems Mixed causal-anticausal realizations State space equations 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Cishen Zhang
    • 1
  • Jingxin Zhang
    • 2
  • Xiaofang Chen
    • 3
  1. 1.Faculty of Engineering and Industrial SciencesSwinburne University of TechnologyMelbourneAustralia
  2. 2.Department of Electrical and Computer Systems EngineeringMonash UniversityClaytonAustralia
  3. 3.School of Electrical Electronic EngineeringNanyang Technological UniversityNanyangSingapore

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