A pair of orthogonal frames
نویسندگان
چکیده
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. ∗This work was supported by several grants at the National University of Singapore; The firstnamed author was supported by KOSEF(NC36490). 2000 Mathematics Subject Classification: 42C15; 42C40.
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عنوان ژورنال:
- Journal of Approximation Theory
دوره 147 شماره
صفحات -
تاریخ انتشار 2007