Authors:
Xiaofang Chen
1
;
Cishen Zhang
2
and
Jingxin Zhang
3
Affiliations:
1
Nanyang Technological University, Singapore
;
2
Swinburne University of Technology, Australia
;
3
Monash University, Australia
Keyword(s):
Frames, Linear systems, Mixed causal-anticausal realizations, State space equations.
Related
Ontology
Subjects/Areas/Topics:
Discrete Event Systems
;
Informatics in Control, Automation and Robotics
;
Signal Processing, Sensors, Systems Modeling and Control
;
Time Series and System Modeling
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.