Wavelet analysis is a relatively new tool for data analysis and signal processing. Similar to Fourier analysis, wavelet analysis identifies dominant periods or scales in one-dimensional and ...

Aim: Assessing the relationship between a spatial process and environmental variables as a function of spatial scale is a challenging problem. Therefore, there is a need for a valid and reliable tool ...

Symmetric wavelet frames represent a powerful class of mathematical tools designed for efficient and robust representation of high-dimensional data. They combine the inherent benefits of wavelet ...

Wavelets provide new capabilities for analyzing real-time signals. This introductory article provides an overview and presents the basic mechanisms involved in wavelets. In many signal processing ...

Mathematics of Computation, Vol. 80, No. 275 (JULY 2011), pp. 1525-1556 (32 pages) We investigate Riesz bases of wavelets in Sobolev spaces and their applications to numerical solutions of the ...