Calculating non-equidistant discretizations generated by Blaschke products

Lócsi, Levente: Calculating non-equidistant discretizations generated by Blaschke products. Acta cybernetica, (20) 1. pp. 111-123. (2011)

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Abstract

The argument functions of Blaschke products provide a very elegant way of handling non-uniformity of discretizations. In this paper we analyse the efficiency of numerical methods as the bisection method and Newton's method in the case of calculating non-equidistant discretizations generated by Blaschke products. By taking advantage of the strictly increasing property of argument functions we may calculate the discrete points in an enhanced order — to be introduced here. The efficiency of the discrete points' sequential calculation in this order is significantly increased compared to the naive implementation. In our research we are primarily motivated by ECG curves which usually have alternating regions of high or low variability, and therefore different degree of discretization is needed at different regions of the signals.

Item Type: Article
Event Title: Conference for PhD Students in Computer Science, 7., 2010, Szeged
Journal or Publication Title: Acta cybernetica
Date: 2011
Volume: 20
Number: 1
Page Range: pp. 111-123
ISSN: 0324-721X
Language: angol
DOI: https://doi.org/10.14232/actacyb.20.1.2011.9
Uncontrolled Keywords: Természettudomány, Informatika
Additional Information: Bibliogr.: 123. p.; Abstract; Summary
Date Deposited: 2016. Oct. 15. 12:24
Last Modified: 2018. Jun. 05. 13:53
URI: http://acta.bibl.u-szeged.hu/id/eprint/12902

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