Abstract
In this paper we discuss smooth local trigonometric bases. We present two generalizations of the orthogonal basis of Malvar and Coifman-Meyer: biorthogonal and equal parity bases. These allow natural representations of constant and, sometimes, linear components. We study and compare their approximation properties and applicability in data compression. This is illustrated with numerical examples.
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Jawerth, B., Sweldens, W. Biorthogonal Smooth Local Trigonometric Bases. J Fourier Anal Appl 2, 109–133 (1995). https://doi.org/10.1007/s00041-001-4024-5
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DOI: https://doi.org/10.1007/s00041-001-4024-5