Nonstationary Wavelets Related to the Walsh Functions

• 作者: Evgeny A. Rodionov Yuri A. Farkov
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: WALSH FUNCTIONS NONSTATIONARY DYADIC WAVELETS Fractal FUNCTIONS Adapted MULTIRESOLUTION Analysis
• 年，卷（期）: mgjssxqkyw,（2）
• 页码范围: 82-87
• 页数: 6页
• 分类号: O1

摘要

Using the Walsh-Fourier transform, we give a construction of compactly supported nonstationary dyadic wavelets on the positive half-line. The masks of these wavelets are the Walsh polynomials defined by finite sets of parameters. Application to compression of fractal functions are also discussed.