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