Title :
An approximation for discrete B-splines in time domain
Author :
Ichige, Koichi ; Kamada, Masaru
Author_Institution :
Doctoral Prog. in Eng., Tsukuba Univ., Ibaraki, Japan
fDate :
3/1/1997 12:00:00 AM
Abstract :
A simple discrete version of B-splines defined as a multifold discrete convolution of sampled rectangles is proposed in the analogy of B-splines being multifold convolution integrals of rectangular functions. Then it is proven that its staircase interpolation tends to the B-spline when the sampling interval goes to zero. This version can be regarded as an approximation for the discrete B-splines established in the literature, and it is faster in numerical evaluation.
Keywords :
convolution; function approximation; interpolation; signal representation; signal sampling; splines (mathematics); time-domain analysis; discrete B-splines; multifold convolution integrals; multifold discrete convolution; numerical evaluation; rectangular functions; sampled rectangles; sampling interval; signal approximation; signal representation; staircase interpolation; time domain; Computer errors; Convolution; Digital filters; Electronic mail; Finite impulse response filter; Interpolation; Least squares approximation; Root mean square; Sampling methods; Spline;
Journal_Title :
Signal Processing Letters, IEEE
