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 ...

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 ...

Wavelet analysis involves an integral transform of, for example, a permeability data set, using wavelet as the kernel of the transform. A wavelet is a function that is non-zero only over a finite ...

Shortwave rail defects, often less than a meter long, can cause serious problems on high-speed railway networks. These local shortwave irregularities intensify vibrations between wheels, tracks, and ...

For certain classes of data that may be very expensive or difficult to obtain, a new statistical technique may provide useful information from a single data run by allowing meaningful re-sampling. The ...

In many fields of study, from science and engineering to economics and psychology, we need to analyze data so that we can discover underlying patterns and information. A common way of doing this is to ...

A Nigerian mathematician, Dr. Amanze Egere, has gained global recognition for leading a breakthrough in robotics through the use of wavelets, a powerful mathematical tool that is changing how smart ...

A French mathematician known for his pioneering work on a theory used for applications ranging from image compression to the detection of gravitational waves from the merging of black holes has earned ...