This paper uses the UEP approach for the construction of wavelet tight frames with two (anti-) symmetric wavelets, and provides some results and examples that complement recent results by Q. Jiang. A description of a family of solutions when the lowpass scaling filter is of even-length is provided. When one wavelet is symmetric and the other is antisymmetric, the wavelet filters can be obtained by a simple procedure based on matching the roots of associated polynomials. The design examples in this paper begin with the construction of a lowpass filter h0(n) that is designed so as to ensure that both wavelets have at least a specified number of vanishing moments.
|Original language||English (US)|
|Number of pages||15|
|Journal||Applied and Computational Harmonic Analysis|
|Issue number||2 SPEC. ISS.|
|State||Published - Sep 2004|
ASJC Scopus subject areas
- Applied Mathematics