Wavelet and its Applications

Abstract

Wavelets are mathematical functions which are used as a basis for writing down other complex functions in an easy way. These cut up data into its frequency components and so that we can study each and every part with more preciseness as it is scaled for our convenience. We may also term wavelets as a tool to decompose signals and trend as a function of time. Wavelets are certainly used in place of the applications of Fourier Analysis as wavelets give more freedom to work on. In this paper, a basic idea of wavelet is provided to a person who is unknown with the idea of function approximation. Apart from pure mathematics areas, wavelets are highly useful tool in analyzing a time series. Wavelets are used for removing noise from a statistical data which is one of the most important job in data analysis. The applications of wavelets not only bars here, but they are also used in quantum physics, artificial intelligence and visual recognition. An important aspect of wavelets, image processing is covered in brief in this paper which will give a thin-air idea of how digital images are stored.