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A pair of orthogonal frames. (English) Zbl 1116.42009
Summary: 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.

##### MSC:
 42C15 General harmonic expansions, frames 42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
##### Keywords:
orthogonal frames; frame; wavelet system; affine system; Gabor system
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##### References:
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