The approaches for increasing accuracy of N-fold differentiation of signals presented as Кotelnikov finite series

Authors

  • P. I. Nicholas All-Russian Research Institute Gradient, Russian Federation

DOI:

https://doi.org/10.1109/ICATT.2013.6650799

Keywords:

signal processing, Kotelnikov theorem, error estimation, increase of differentiation accuracy, regularization

Abstract

The factors influencing the error of differentiation of signals with restricted domain of definition at usage of the mathematical apparatus based on Kotelnikov expansion are analyzed. The procedures permitting to increase the efficiency of differentiation are instanced.

References

BULYCHEV, Y.G. Mathematical apparatus of N-fold differentiation of functions with finite spectrum and its applications. J. Numer. Math. Math. Phys., 1994, v.34, n.5, p.643-657.

BULYCHEV, Y.G.; BURLAI, I.V. Problems of interpolation, approximation and differentiation in class of functions with finite spectrum. J. Numer. Math. Math. Phys., 1997, v.37, n.9, p.1034-1042.

YEFIMOV, A.V. Mathematical Analysis, Part 1. Moscow: Vysshaya Shkola, 1980 [in Russian].

KHURGIN, Y.I.; YAKOVLEV, V.P. Finite Functions in Physics and Techniques. Moscow: Nauka, 1977 [in Russian].

ICATT 2013 cover

Published

2014-02-19

Issue

2013: ICATT’2013 - Proc. of IX Int. Conf. on Antenna Theory and Techniques

Section

Analytical and numerical techniques