{"title":"傅里叶药草","authors":"Juha Sarmavuori, Simo Särkkä","doi":"10.5281/ZENODO.43027","DOIUrl":null,"url":null,"abstract":"In this article, we introduce the Fourier-Hermite Rauch-Tung-Striebel smoother which is based on expansion of nonlinear functions in a Fourier-Hermite series in same way as the traditional extended Rauch-Tung-Striebel smoother is based on the Taylor series. The first order truncation of the Fourier-Hermite series gives the previously known statistically linearized smoother.","PeriodicalId":201182,"journal":{"name":"2012 Proceedings of the 20th European Signal Processing Conference (EUSIPCO)","volume":"112 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Fourier-Hermite Rauch-Tung-Striebel smoother\",\"authors\":\"Juha Sarmavuori, Simo Särkkä\",\"doi\":\"10.5281/ZENODO.43027\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we introduce the Fourier-Hermite Rauch-Tung-Striebel smoother which is based on expansion of nonlinear functions in a Fourier-Hermite series in same way as the traditional extended Rauch-Tung-Striebel smoother is based on the Taylor series. The first order truncation of the Fourier-Hermite series gives the previously known statistically linearized smoother.\",\"PeriodicalId\":201182,\"journal\":{\"name\":\"2012 Proceedings of the 20th European Signal Processing Conference (EUSIPCO)\",\"volume\":\"112 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-10-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Proceedings of the 20th European Signal Processing Conference (EUSIPCO)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5281/ZENODO.43027\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Proceedings of the 20th European Signal Processing Conference (EUSIPCO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.43027","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this article, we introduce the Fourier-Hermite Rauch-Tung-Striebel smoother which is based on expansion of nonlinear functions in a Fourier-Hermite series in same way as the traditional extended Rauch-Tung-Striebel smoother is based on the Taylor series. The first order truncation of the Fourier-Hermite series gives the previously known statistically linearized smoother.