From dual pairs of Gabor frames to dual pairs of wavelet frames and vice versa

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From Dual Pairs of Gabor Frames to Dual Pairs of Wavelet Frames and vice Versa Ole Christensen and Say

We discuss an elementary procedure that allows us to construct dual pairs of wavelet frames based on certain dual pairs of Gabor frames and vice versa. The construction preserves tightness of the involved frames. Starting with Gabor frames generated by characteristic functions the construction leads to a class of tight wavelet frames that include the Shannon (orthonormal) wavelet, and applying ...

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ژورنال

عنوان ژورنال: Applied and Computational Harmonic Analysis

سال: 2014

ISSN: 1063-5203

DOI: 10.1016/j.acha.2013.03.005