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- Title
Modified Wilson Orthonormal Bases.
- Authors
Wojdyłło, Piotr
- Abstract
Wilson bases are constituted by trigonometric functions multiplied by translates of a window function that, in turn, is an atom of Gabor tight frame. We study the Wilson systems with non-classical sign sequences obtaining the characterization of the atoms for which these non-classical Wilson systems are orthonormal bases. The real-valued functions satisfy our characterization condition for the classical case. The operator intertwining the members of the Wilson system formula is constructed explicitly.
- Subjects
HILBERT space; BASES (Linear topological spaces); FRAMES (Vector analysis); VECTOR topology; MATHEMATICAL sequences; TRIGONOMETRIC functions
- Publication
Sampling Theory in Signal & Image Processing, 2007, Vol 6, Issue 2, p223
- ISSN
1530-6429
- Publication type
Article
- DOI
10.1007/bf03549473