Topic
Monotone cubic interpolation
About: Monotone cubic interpolation is a research topic. Over the lifetime, 1740 publications have been published within this topic receiving 38111 citations.
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01 Dec 2011
TL;DR: The amplitude response and delay response of the proposed cubic Hermite VFD filter will be compared with the cubic B-spline and Lagrange-type VFD Filter and the structure realization is shown based on Farrow structure.
Abstract: This paper presents a design and realization of cubic Hermite variable fractional delay (VFD) filter. Cubic Hermite interpolation will be formulated to cubic Hermite VFD filter which the amplitude response and delay response of proposed cubic Hermite VFD filter depend on the used approximation of first derivative. The structure realization of cubic Hermite VFD filter is shown based on Farrow structure as well. Finally, the amplitude response and delay response of the proposed cubic Hermite VFD filter will be compared with the cubic B-spline and Lagrange-type VFD filter.
6 citations
TL;DR: A class of iterative formulae is derived to find numerically a factor of arbitrary degree of a polynomialf(x) based on the rational Hermite interpolation which has a high convergence order even for a factor which includes multiple zeros.
Abstract: We derive a class of iterative formulae to find numerically a factor of arbitrary degree of a polynomialf(x) based on the rational Hermite interpolation. The iterative formula generates the sequence of polynomials which converge to a factor off(x). It has a high convergence order even for a factor which includes multiple zeros. Some numerical examples are also included.
6 citations
01 Jan 1986
TL;DR: A submitted manuscript is the version of the article upon submission and before peer-review as discussed by the authors, while a published version is the final layout of the paper including the volume, issue and page numbers.
Abstract: • A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version and the galley proof are versions of the publication after peer review. • The final published version features the final layout of the paper including the volume, issue and page numbers.
6 citations
TL;DR: In this paper, it was shown that when the knots are equally spaced, with spacing h, then the order of accuracy of the spline-on-spline approximations can be better by one power of h than that predicted by the results of [3].
6 citations
TL;DR: In this article, the authors studied deficient cubic splines by making less restrictive continuity requirements at the joints and having two interpolatory conditions, one of which is the matching condition at appropriate points of the dividing intervals while the other is matching of the integral means.
6 citations