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On trigonometric wavelets

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Abstract

Wavelets in terms of sine and cosine functions are constructed for decomposing 2π-periodic square-integrable functions into different octaves and for yielding local information within each octave. Results on a simple mapping into the approximate sample space, order of approximation of this mapping, and pyramid algorithms for decomposition and reconstruction are also discussed.

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Communicated by Charles A. Micchelli

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Chui, C.K., Mhaskar, H.N. On trigonometric wavelets. Constr. Approx 9, 167–190 (1993). https://doi.org/10.1007/BF01198002

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  • DOI: https://doi.org/10.1007/BF01198002

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