{"title":"无边缘效应的分数阶傅立叶滤波","authors":"He Liu, Wanqing Song","doi":"10.1109/phm-qingdao46334.2019.8942847","DOIUrl":null,"url":null,"abstract":"The paper presents one kind of filter based on fractional Fourier transform for one dimensional signal. Compared with other one-dimensional filters, this filter can improve the edge effect before and after filtering. Not only has high signal-to-noise ratio, but also there is no leak at signal of two terminals. When calculating the signal-to-noise ratio, I take four examples with low noise to high noise. Through MATLAB simulation, it shows that has excellent filter characteristics and is very suitable for signal processing.","PeriodicalId":259179,"journal":{"name":"2019 Prognostics and System Health Management Conference (PHM-Qingdao)","volume":"254 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Fractional Fourier Filtering without Edge Effect\",\"authors\":\"He Liu, Wanqing Song\",\"doi\":\"10.1109/phm-qingdao46334.2019.8942847\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper presents one kind of filter based on fractional Fourier transform for one dimensional signal. Compared with other one-dimensional filters, this filter can improve the edge effect before and after filtering. Not only has high signal-to-noise ratio, but also there is no leak at signal of two terminals. When calculating the signal-to-noise ratio, I take four examples with low noise to high noise. Through MATLAB simulation, it shows that has excellent filter characteristics and is very suitable for signal processing.\",\"PeriodicalId\":259179,\"journal\":{\"name\":\"2019 Prognostics and System Health Management Conference (PHM-Qingdao)\",\"volume\":\"254 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 Prognostics and System Health Management Conference (PHM-Qingdao)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/phm-qingdao46334.2019.8942847\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 Prognostics and System Health Management Conference (PHM-Qingdao)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/phm-qingdao46334.2019.8942847","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Fractional Fourier Filtering without Edge Effect
The paper presents one kind of filter based on fractional Fourier transform for one dimensional signal. Compared with other one-dimensional filters, this filter can improve the edge effect before and after filtering. Not only has high signal-to-noise ratio, but also there is no leak at signal of two terminals. When calculating the signal-to-noise ratio, I take four examples with low noise to high noise. Through MATLAB simulation, it shows that has excellent filter characteristics and is very suitable for signal processing.
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