A cubic B-spline interpolation algorithm that uses the first derivative values of the input function in the knots

Author

Matiu-Iovan, Liliana ; Frigura-Iliasa, Flaviu Mihai ; Rancov, Sorin

Author_Institution

Politeh. Univ. of Timisoara, Timisoara, Romania

fYear

2013

fDate

2-4 July 2013

Firstpage

709

Lastpage

712

Abstract

Signal interpolation is an old problem that could be resolved by filtering techniques. One dedicated filter is used to determine the coefficients from the input samples and another filter is applied in order to obtain the interpolated values. In this paper is presented a new technique for coefficients determination. The approximation function is a cubic B-spline one. We are presenting the results for signal interpolation by a factor m=2^r. The algorithm is implemented for some well known signals (like sine, cosine and triangle functions) and the results are discussed at the end.

Keywords

filtering theory; interpolation; splines (mathematics); approximation function; coefficients determination; cosine functions; cubic B-spline interpolation algorithm; cubic B-spline one; filtering techniques; first derivative values; input function; interpolated values; knots; signal interpolation; sine functions; triangle functions; Digital filters; Filtering algorithms; Interpolation; Polynomials; Signal processing algorithms; Splines (mathematics); Digital signal processing; cubic B-spline functions; cubic B-spline interpolation;

fLanguage

English

Publisher

ieee

Conference_Titel

Telecommunications and Signal Processing (TSP), 2013 36th International Conference on

Conference_Location

Rome

Print_ISBN

978-1-4799-0402-0

Type

conf

DOI

10.1109/TSP.2013.6614029

Filename

6614029