Article ID Journal Published Year Pages File Type
4608199 Journal of Approximation Theory 2007 9 Pages PDF
Abstract

We start with a characterization of a pair of frames to be orthogonal in a shift-invariant space and then give a simple construction of a pair of orthogonal shift-invariant frames. This is applied to obtain a construction of a pair of Gabor orthogonal frames as an example. This is also developed further to obtain constructions of a pair of orthogonal wavelet frames.

Related Topics
Physical Sciences and Engineering Mathematics Analysis