Construction of algebraic wavelet coefficients Conference Paper

abstract

• In this paper we discuss a method for construction of algebraic wavelet coefficients, i.e., wavelet coefficients lying in an algebraic extension field of Q. The method relies on a strengthened version of a theorem due to L. Fejer and F. Riesz. As an application, we prove that the Daubechies wavelets have algebraic wavelet coefficients. We show that there exist uncountably many transcendent scaling coefficient sequences. Furthermore, we prove that the set of parameters for algebraic wavelet coefficient sequences (up to a given length) is dense in the parameter space of the Pollen parametrization. Algebraic wavelet coefficient sequences may lead to faster processing units in VLSI implementations of the fast wavelet transform.

authors

• Klappenecker, Andreas

published proceedings

• National Conference Publication - Institution of Engineers, Australia

author list (cited authors)

• Beth, T., Klappenecker, A., & Nueckel, A.

complete list of authors

• Beth, T||Klappenecker, A||Nueckel, A

publication date

• December 1994

published in

• National Conference Publication- Institution of Engineers Australia Ncp  Journal

start page

• 341

end page

• 344

volume

• 1

issue

• 94 /9