HAAR WAVELET: CONSTRUCTION AND SIMPLE APPLICATIONS

Wavelet theory has become a powerful mathematical tool for signal processing, image compression, and data analysis. Among wavelets, the Haar wavelet is the simplest and earliest, introduced by Alfréd Haar in 1910. This project explores the construction of the Haar wavelet, its mathematical formulation and properties, and its diverse applications in modern science and engineering. The study highlights its efficiency in representing signals, particularly in image compression and noise reduction.

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Publication Details

Published
2026-05-09
DOI
https://doi.org/10.82471/6yf6z-man54
Primary Topic
Image and Signal Denoising Methods
Type
article
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article

HAAR WAVELET: CONSTRUCTION AND SIMPLE APPLICATIONS

Ankit Kumar
Image and Signal Denoising Methods
article

HAAR WAVELET: CONSTRUCTION AND SIMPLE APPLICATIONS

Ankit Kumar
article en

Abstract

Wavelet theory has become a powerful mathematical tool for signal processing, image compression, and data analysis. Among wavelets, the Haar wavelet is the simplest and earliest, introduced by Alfréd Haar in 1910. This project explores the construction of the Haar wavelet, its mathematical formulation and properties, and its diverse applications in modern science and engineering. The study highlights its efficiency in representing signals, particularly in image compression and noise reduction.

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Image and Signal Denoising Methods
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HAAR WAVELET: CONSTRUCTION AND SIMPLE APPLICATIONS — Ankit Kumar · (2026) | TGRS Research Map | TGRS