{"title":"基于截断傅立叶级数的大信号积分公式","authors":"V. Kukk","doi":"10.1109/MWSCAS.2000.951448","DOIUrl":null,"url":null,"abstract":"A new integration method for highly oscillating circuits has been proposed. The method is based on using finite (truncated) Fourier series for the representation of signals. Nonlinear transformations are implemented in two phases: harmonic linearization using only one sine wave in phase space, and general Chebyshev transformation of waveforms to return into the true time domain. The properties of integration procedure and non-linear transformation are studied.","PeriodicalId":437349,"journal":{"name":"Proceedings of the 43rd IEEE Midwest Symposium on Circuits and Systems (Cat.No.CH37144)","volume":"61 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Large signal integration formula based on truncated Fourier series\",\"authors\":\"V. Kukk\",\"doi\":\"10.1109/MWSCAS.2000.951448\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new integration method for highly oscillating circuits has been proposed. The method is based on using finite (truncated) Fourier series for the representation of signals. Nonlinear transformations are implemented in two phases: harmonic linearization using only one sine wave in phase space, and general Chebyshev transformation of waveforms to return into the true time domain. The properties of integration procedure and non-linear transformation are studied.\",\"PeriodicalId\":437349,\"journal\":{\"name\":\"Proceedings of the 43rd IEEE Midwest Symposium on Circuits and Systems (Cat.No.CH37144)\",\"volume\":\"61 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-08-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 43rd IEEE Midwest Symposium on Circuits and Systems (Cat.No.CH37144)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSCAS.2000.951448\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 43rd IEEE Midwest Symposium on Circuits and Systems (Cat.No.CH37144)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS.2000.951448","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Large signal integration formula based on truncated Fourier series
A new integration method for highly oscillating circuits has been proposed. The method is based on using finite (truncated) Fourier series for the representation of signals. Nonlinear transformations are implemented in two phases: harmonic linearization using only one sine wave in phase space, and general Chebyshev transformation of waveforms to return into the true time domain. The properties of integration procedure and non-linear transformation are studied.