{"title":"Construction of Wavelets Based on Exponential Atomic Functions hupa(x) and Harmonic Functions scupb(x) and gk(x)","authors":"V. F. Kravchenko, Ya. Yu. Konovalov","doi":"10.1134/s106422692310008x","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The possibility of constructing wavelets based on convolutions with a rectangular impulse of exponential and harmonic atomic functions has been studied. Some properties of exponential and harmonic atomic functions are considered. The values of the uncertainty constants of the constructed wavelets are calculated.</p>","PeriodicalId":50229,"journal":{"name":"Journal of Communications Technology and Electronics","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Communications Technology and Electronics","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1134/s106422692310008x","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
The possibility of constructing wavelets based on convolutions with a rectangular impulse of exponential and harmonic atomic functions has been studied. Some properties of exponential and harmonic atomic functions are considered. The values of the uncertainty constants of the constructed wavelets are calculated.
期刊介绍:
Journal of Communications Technology and Electronics is a journal that publishes articles on a broad spectrum of theoretical, fundamental, and applied issues of radio engineering, communication, and electron physics. It publishes original articles from the leading scientific and research centers. The journal covers all essential branches of electromagnetics, wave propagation theory, signal processing, transmission lines, telecommunications, physics of semiconductors, and physical processes in electron devices, as well as applications in biology, medicine, microelectronics, nanoelectronics, electron and ion emission, etc.