TY - GEN
T1 - An Improved Second-Order Lagrange Interpolation Function
AU - Zhao, Shiqi
AU - Shi, Xuesen
AU - Shen, Yuyao
AU - Wang, Yongqing
N1 - Publisher Copyright:
© 2021 IEEE.
PY - 2021/8/13
Y1 - 2021/8/13
N2 - 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.
AB - 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.
KW - Lagrange interpolation
KW - flexibility
KW - polynomial interpolation
UR - http://www.scopus.com/inward/record.url?scp=85116674737&partnerID=8YFLogxK
U2 - 10.1109/CCET52649.2021.9544335
DO - 10.1109/CCET52649.2021.9544335
M3 - Conference contribution
AN - SCOPUS:85116674737
T3 - 2021 IEEE 4th International Conference on Computer and Communication Engineering Technology, CCET 2021
SP - 120
EP - 125
BT - 2021 IEEE 4th International Conference on Computer and Communication Engineering Technology, CCET 2021
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 4th IEEE International Conference on Computer and Communication Engineering Technology, CCET 2021
Y2 - 13 August 2021 through 15 August 2021
ER -