Wavelets and their Applications (original) (raw)

AI-generated Abstract

Wavelets serve as a powerful tool for signal processing, enabling the analysis of complex signals across multiple timescales, which is essential in various fields such as geophysics, astrophysics, telecommunications, and image processing. This paper highlights three main applications of wavelets: data analysis for examining local signal properties, denoising through effective noise reduction algorithms, and compression, notably in image formats like JPEG 2000. The discussion emphasizes the rapid development and integration of wavelet theory into both academic curricula and practical applications, paralleling the historical significance of Fourier analysis.