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The construction of generalized B-spline low-pass filters related to possibility density |
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| Authors: | QiuHui Chen LuoQing Li Helmuth Malonek |
| Institution: | 1. Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou, 510006, China 2. Faculty of Mathematics and Computer Sciences, Hubei University, Wuhan, 430062, China 3. Department of Mathematics, University of Aveiro, Aveiro, 3810-193, Portugal |
| Abstract: | Starting from piecewise constant functions, a novel family of generalized symmetric B-splines, with realizable ideal low-pass filters, are constructed. The first order generalized B-spline low-pass filter is closely related to functions analytic in a neighborhood of the unit disc and the generalized sinc functions. The properties of this kind of low-pass filters are investigated. The behavior of the generalized B-spline low-pass filter related to normalized Gaussian distribution is considered. |
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