{"title":"基于Haar小波变换的分数阶阻抗任意时域源电路仿真，以集肤效应为例","authors":"Georgios G. Roumeliotis;Jan Desmet;Jos Knockaert","doi":"10.1109/OJCAS.2025.3573989","DOIUrl":null,"url":null,"abstract":"An application of the ability of the Haar wavelet operational matrix to perform the numerical inverse Laplace transform as combined with the intrinsically convenient Haar wavelet transform of any time-domain signal is presented in this paper. A case study of the transient- and steady-state behavior of the input impedance of a short-circuited transmission line showcases a method to perform the numerical inverse Laplace transform of fractional-order approximative expressions of the skin effect. Furthermore, an improved skin effect approximation is presented.","PeriodicalId":93442,"journal":{"name":"IEEE open journal of circuits and systems","volume":"6 ","pages":"155-168"},"PeriodicalIF":2.4000,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=11016785","citationCount":"0","resultStr":"{\"title\":\"Circuit Simulation of Any Time-Domain Source on Fractional-Order Impedances by Use of the Haar Wavelet Transform, Case Study of the Skin Effect\",\"authors\":\"Georgios G. Roumeliotis;Jan Desmet;Jos Knockaert\",\"doi\":\"10.1109/OJCAS.2025.3573989\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An application of the ability of the Haar wavelet operational matrix to perform the numerical inverse Laplace transform as combined with the intrinsically convenient Haar wavelet transform of any time-domain signal is presented in this paper. A case study of the transient- and steady-state behavior of the input impedance of a short-circuited transmission line showcases a method to perform the numerical inverse Laplace transform of fractional-order approximative expressions of the skin effect. Furthermore, an improved skin effect approximation is presented.\",\"PeriodicalId\":93442,\"journal\":{\"name\":\"IEEE open journal of circuits and systems\",\"volume\":\"6 \",\"pages\":\"155-168\"},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2025-03-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=11016785\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE open journal of circuits and systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/11016785/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE open journal of circuits and systems","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/11016785/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Circuit Simulation of Any Time-Domain Source on Fractional-Order Impedances by Use of the Haar Wavelet Transform, Case Study of the Skin Effect
An application of the ability of the Haar wavelet operational matrix to perform the numerical inverse Laplace transform as combined with the intrinsically convenient Haar wavelet transform of any time-domain signal is presented in this paper. A case study of the transient- and steady-state behavior of the input impedance of a short-circuited transmission line showcases a method to perform the numerical inverse Laplace transform of fractional-order approximative expressions of the skin effect. Furthermore, an improved skin effect approximation is presented.
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