Approximation of Discontinuous Signals by Exponential Sampling Series
Functional Analysis
2021-01-22 v1 Classical Analysis and ODEs
Abstract
We analyse the behaviour of the exponential sampling series at jump discontinuity of the bounded signal We obtain a representation lemma that is used for analysing the series and we establish approximation of jump discontinuity functions by the series The rate of approximation of the exponential sampling series is obtained in terms of logarithmic modulus of continuity of functions and the round-off and time-jitter errors are also studied. Finally we give some graphical representation of approximation of discontinuous functions by using suitable kernels.
Cite
@article{arxiv.2101.08544,
title = {Approximation of Discontinuous Signals by Exponential Sampling Series},
author = {A. Sathish Kumar and Prashant Kumar and P. Devaraj},
journal= {arXiv preprint arXiv:2101.08544},
year = {2021}
}