{"title":"参数二维高斯圆形带通滤波器","authors":"R. Matei","doi":"10.1109/ISSCS.2013.6651251","DOIUrl":null,"url":null,"abstract":"This paper approaches an analytical design method for a type of 2D band-pass circularly-symmetric Gaussian-shaped recursive filters. The method is based on a Gaussian prototype filter, whose transfer function is transformed using a specific 1D to 2D frequency mapping. An efficient pre-warping is applied before using the bilinear transform, which allows to obtain filters having a central frequency close to the frequency plane margins, and yet with an accurate circular shape, without any distortions. Finally the filter matrices are obtained, which include the filter parameters - central frequency and bandwidth.","PeriodicalId":260263,"journal":{"name":"International Symposium on Signals, Circuits and Systems ISSCS2013","volume":"134 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Parametric 2D Gaussian circular band-pass filters\",\"authors\":\"R. Matei\",\"doi\":\"10.1109/ISSCS.2013.6651251\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper approaches an analytical design method for a type of 2D band-pass circularly-symmetric Gaussian-shaped recursive filters. The method is based on a Gaussian prototype filter, whose transfer function is transformed using a specific 1D to 2D frequency mapping. An efficient pre-warping is applied before using the bilinear transform, which allows to obtain filters having a central frequency close to the frequency plane margins, and yet with an accurate circular shape, without any distortions. Finally the filter matrices are obtained, which include the filter parameters - central frequency and bandwidth.\",\"PeriodicalId\":260263,\"journal\":{\"name\":\"International Symposium on Signals, Circuits and Systems ISSCS2013\",\"volume\":\"134 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Symposium on Signals, Circuits and Systems ISSCS2013\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISSCS.2013.6651251\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Symposium on Signals, Circuits and Systems ISSCS2013","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISSCS.2013.6651251","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper approaches an analytical design method for a type of 2D band-pass circularly-symmetric Gaussian-shaped recursive filters. The method is based on a Gaussian prototype filter, whose transfer function is transformed using a specific 1D to 2D frequency mapping. An efficient pre-warping is applied before using the bilinear transform, which allows to obtain filters having a central frequency close to the frequency plane margins, and yet with an accurate circular shape, without any distortions. Finally the filter matrices are obtained, which include the filter parameters - central frequency and bandwidth.