Nonorthogonal wavelet approximation with rates of deterministic signals

Authors

G. A. Anastassiou, University of MemphisFollow
S. Cambanis, The University of North Carolina at Chapel Hill

Abstract

An nth order asymptotic expansion is produced for the L2-error in a nonorthogonal (in general) wavelet approximation at resolution 2-k of deterministic signals f. These signals over the whole real line are assumed to have n continuous derivatives of bounded variation. The engaged nonorthogonal (in general) scale function fulfills the partition of unity property, and it is of compact support.

Publication Title

Computers and Mathematics with Applications

Recommended Citation

Anastassiou, G., & Cambanis, S. (2000). Nonorthogonal wavelet approximation with rates of deterministic signals. Computers and Mathematics with Applications, 40 (1), 21-35. https://doi.org/10.1016/S0898-1221(00)00137-1