Tests for Wavelets as a Basis Set

ORAL

Abstract

A wavelet transformation is a special type of filter usually reserved for image processing and other applications. We develop metrics to evaluate wavelets for general problems on test one-dimensional systems. The goal is to eventually use a wavelet basis in electronic structure calculations. We compare a variety of orthogonal wavelets such as coiflets, symlets, and daubechies wavelets. We also evaluate a new type of orthogonal wavelet with dilation factor three which is both symmetric and compact in real space.

*This work was supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences under Award #DE-SC008696.

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Authors

  • Thomas Baker

    • Department of Physics & Astronomy, University of California, Irvine, CA 92697

  • Glen Evenbly

    • Institute for Quantum Information and Matter, California Institute of Technology, Pasadena CA 91125, USA

  • Steven White

    • Department of Physics \& Astronomy, University of California, Irvine, CA 92697