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.
Lecture notes in electrical engineering: Revised selected papers from the 8th International Conference on Informatics in Control, Automation and Robotics (ICINCO 2011), Noordwijkerhout, Netherlands, 28-31 July 2011 / Jean-Louis Ferrier, Alain Bernard, Oleg Gusikhin and Kurosh Madani (eds.),
Vol. 174, part 4, pp. 117-128