Biorthogonal Smooth Local Trigonometric Bases |
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| Authors: | Bjorn Jawerth Wim Sweldens |
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| Institution: | (1) Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208, USA;(2) Department of Computer Science, K. U. Leuven, Belgium;(3) Present address: AT&T Bell Laboratories, 600 Mountain Avenue, Rm. 2C-371, Murray Hill, NJ 07974, USA |
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| 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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