An Improved Second-Order Lagrange Interpolation Function

Shiqi Zhao, Xuesen Shi, Yuyao Shen, Yongqing Wang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

Lagrange interpolation is widely used in signal processing; however, high-order interpolation is affected by Runge phenomenon and the inflexible basis function construction. In this paper, an improved second-order Lagrange interpolation function is proposed, which uses a combination of piecewise second-order Lagrange interpolation results for interpolation. Compared with other low-order polynomial interpolation, the improved second-order Lagrange interpolation has a smaller root mean square error and can achieve an accuracy equivalent to that of a high-order Lagrange interpolation. Moreover, the improved second-order Lagrange interpolation is based on second-order interpolation without changing the interpolation basis function, which increases the flexibility of the algorithm.

Original languageEnglish
Title of host publication2021 IEEE 4th International Conference on Computer and Communication Engineering Technology, CCET 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages120-125
Number of pages6
ISBN (Electronic)9781665438902
DOIs
Publication statusPublished - 13 Aug 2021
Event4th IEEE International Conference on Computer and Communication Engineering Technology, CCET 2021 - Virtual, Beijing, China
Duration: 13 Aug 202115 Aug 2021

Publication series

Name2021 IEEE 4th International Conference on Computer and Communication Engineering Technology, CCET 2021

Conference

Conference4th IEEE International Conference on Computer and Communication Engineering Technology, CCET 2021
Country/TerritoryChina
CityVirtual, Beijing
Period13/08/2115/08/21

Keywords

  • Lagrange interpolation
  • flexibility
  • polynomial interpolation

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Cite this

Zhao, S., Shi, X., Shen, Y., & Wang, Y. (2021). An Improved Second-Order Lagrange Interpolation Function. In 2021 IEEE 4th International Conference on Computer and Communication Engineering Technology, CCET 2021 (pp. 120-125). (2021 IEEE 4th International Conference on Computer and Communication Engineering Technology, CCET 2021). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCET52649.2021.9544335