Wavelets are mathematical functions that are used in signal processing and analysis to decompose complex signals into simpler components. They are particularly effective in analyzing signals that have sharp changes or discontinuities, such as images, audio signals, and financial data. Wavelets are used in a variety of applications, including image compression, denoising, and feature extraction. The theory of wavelets has been heavily researched over the past few decades, leading to various algorithms and tools for wavelet analysis. Wavelets have become an important tool in the fields of image processing, data analysis, and pattern recognition.