2018•International Journal of Statistics and Applied MathematicsOpen access

A brief description of wavelet and wavelet transforms and their applications

Prabhat Yadav

Abstract

In this paper we highlight the relevant definitions of wavelet, wavelet transform, parseval formula for the wavelet transform, inversion formula, admissibility condition of wavelets, some examples of wavelets, basic properties of continuous wavelet transforms, applications of wavelet transforms. By using Fourier transform we expressed continuous wavelet transform (W ∅ h) (b, a) in the form (W∅ + h)(b, a) and (W∅ - h) (b, a).

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Available abstract

Key concepts: Wavelet, Discrete wavelet transform, Harmonic wavelet transform, Second-generation wavelet transform, Wavelet transform, Stationary wavelet transform, Lifting scheme, Wavelet packet decomposition