Abstract:
Orthonormalization is an essential stabilizing task in many signal processing algorithms and can be accomplished using the Gram-Schmidt process. In this paper, dynamical ...Show MoreMetadata
Abstract:
Orthonormalization is an essential stabilizing task in many signal processing algorithms and can be accomplished using the Gram-Schmidt process. In this paper, dynamical systems for orthonormalization are proposed. These systems converge to the desired limits without computing matrix square root. Stability and domain of attractions are established via Lyapunov stability theory. Applications of the proposed methods to principal sub space /component analysis are given.
Published in: 2007 International Joint Conference on Neural Networks
Date of Conference: 12-17 August 2007
Date Added to IEEE Xplore: 29 October 2007
ISBN Information: