Title :
Theory of the optimum discrete running approximation of multi-dimensional approximately band-limited signals
Author :
Kida, Yuichiro ; Kida, T.
Author_Institution :
Sch. of Pharm. Sci., Ohu Univ., Japan
Abstract :
In this paper, we present an n-dimensional running discrete approximation that minimizes various worst-case measures of error, simultaneously. We derive continuous space-limited n-dimensional interpolation-functions satisfying condition that is called discrete orthogonality. Then, we present a set of signals that satisfies two conditions of the optimum approximation.
Keywords :
FIR filters; approximation theory; channel bank filters; multidimensional approximately bandlimited signal; n-dimensional FIR filter bank; n-dimensional running discrete approximation; optimum discrete running approximation theory; Approximation error; Equations; Fellows; Filter bank; Finite impulse response filter; Interpolation; Multidimensional signal processing; Pharmaceutical technology; Signal analysis; Space technology; n-dimensional FIR filter bank; running discrete approximation; the optimum approximation;
Conference_Titel :
Digital Signal Processing, 2009 16th International Conference on
Conference_Location :
Santorini-Hellas
Print_ISBN :
978-1-4244-3297-4
Electronic_ISBN :
978-1-4244-3298-1
DOI :
10.1109/ICDSP.2009.5201221
