{"title":"用多小波基表示1/f信号","authors":"Xiao-jiang Yan, Guizhong Liu, Feng Liu","doi":"10.1109/APCCAS.2004.1412699","DOIUrl":null,"url":null,"abstract":"The representation of 1/f signal via multiwavelet transformation has been explored in this paper. It is shown that 1/f signal (not near-1/f signal) can be represented by multiwavelet synthetic formula and also the property of a statistically self-similar signal can be characterized by the matrix of correlation functions of multiwavelet coefficients in multiwavelet domain. The representation of 1/f signal with wavelet bases is only the special case of this paper.","PeriodicalId":426683,"journal":{"name":"The 2004 IEEE Asia-Pacific Conference on Circuits and Systems, 2004. Proceedings.","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Representation of 1/f signal via multiwavelet bases\",\"authors\":\"Xiao-jiang Yan, Guizhong Liu, Feng Liu\",\"doi\":\"10.1109/APCCAS.2004.1412699\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The representation of 1/f signal via multiwavelet transformation has been explored in this paper. It is shown that 1/f signal (not near-1/f signal) can be represented by multiwavelet synthetic formula and also the property of a statistically self-similar signal can be characterized by the matrix of correlation functions of multiwavelet coefficients in multiwavelet domain. The representation of 1/f signal with wavelet bases is only the special case of this paper.\",\"PeriodicalId\":426683,\"journal\":{\"name\":\"The 2004 IEEE Asia-Pacific Conference on Circuits and Systems, 2004. Proceedings.\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-12-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The 2004 IEEE Asia-Pacific Conference on Circuits and Systems, 2004. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APCCAS.2004.1412699\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 2004 IEEE Asia-Pacific Conference on Circuits and Systems, 2004. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APCCAS.2004.1412699","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Representation of 1/f signal via multiwavelet bases
The representation of 1/f signal via multiwavelet transformation has been explored in this paper. It is shown that 1/f signal (not near-1/f signal) can be represented by multiwavelet synthetic formula and also the property of a statistically self-similar signal can be characterized by the matrix of correlation functions of multiwavelet coefficients in multiwavelet domain. The representation of 1/f signal with wavelet bases is only the special case of this paper.