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 ...

Fractional transforms extend classical integral transforms by introducing a continuous parameter that governs the interpolation between time and frequency domains. The fractional Fourier transform ...

In an increasingly data-driven world, mathematical tools known as wavelets have become an indispensable way to analyze and understand information. Many researchers receive their data in the form of ...

Wavelet transform is being widely used in the field of information processing. One-dimension and two-dimension quantum wavelet transforms have been investigated. However, three-dimensional quantum ...

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 ...

Representing images in ways other than pixels allows for powerful processing. This subject, based on signal processing, requires a mathematical fluency to understand the concepts fully. Many software ...

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 ...

No audio available for this content. Ingrid Daubechies, a prominent mathematician whose pioneering work on wavelets is the foundation for various consumer products and GNSS applications, has received ...