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 ...

The lifting scheme offers a refined approach to implementing the Discrete Wavelet Transform (DWT) by decomposing traditional convolution-based filtering into a succession of simple, in-place ...

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 ...

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 ...

Mathematical transforms can be a great help in understanding signals. Imaging trying to look at a complex waveform and figuring out the frequency components without the Fourier transform. [Artem ...

The mathematician Ingrid Daubechies’ pioneering work in signal processing helped make our electronic world possible — and beat a path for women in the field. Ingrid Daubechies.Credit...Jeremy M. Lange ...