Статья

Piecewise‐quadratic Harmut basis functions and their application to problems in digital signal processing

Dhananjay SinghDepartment of Ubiquitous IT, Graduate School of Design and IT, Dongseo University, Busan, South Korea 617-716, South KoreaHakimjon ZaynidinovDepartment of Ubiquitous IT, Graduate School of Design and IT, Dongseo University, Busan, South Korea 617-716, South KoreaHoon Jae LeeDivision of Information Network Engineering, School of Internet Engineering, Dongseo University, Busan, South Korea 617-716, South Korea

2010en

ABI

Аннотация

Abstract In this work, the well‐known system of orthogonal piecewise‐constant Harmut basis functions is investigated. As a result of research, their shortcomings are revealed such as weak convergence, discontinuity and others. To eliminate these problems, a new basis of piecewise‐quadratic Harmut functions is proposed and a fast spectral transformation algorithm is developed in this basis. For examples of analytically set and experimentally verified dependencies, the advantages of the algorithm for spectral transformations in a basis of piecewise‐quadratic Harmut functions are demonstrated. The proposed system and algorithm could find wide application in such areas as computer graphics, image processing and restoration, machine vision and multimedia, animation and programming of computer games. Copyright © 2010 John Wiley & Sons, Ltd.

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Идентификаторы

DOI: 10.1002/dac.1093

Цитирования и источники

Цитирований: 7Использованных источников: 0

Показатели — AkademScholar