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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Chen, Q., Li, L. & Malonek, H. The construction of generalized B-spline low-pass filters related to possibility density. Sci. China Math. 55, 2481–2491 (2012). https://doi.org/10.1007/s11425-012-4464-1
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DOI: https://doi.org/10.1007/s11425-012-4464-1