Borges, Vinícius S. and Nepomuceno, Erivelton and Duque, Carlos A. and Butusov, Denis N. (2020) Some Remarks about Entropy of Digital Filtered Signals. Entropy, 22 (3). p. 365. ISSN 1099-4300

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Abstract

The finite numerical resolution of digital number representation has an impact on the properties of filters. Much effort has been done to develop efficient digital filters investigating the effects in the frequency response. However, it seems that there is less attention to the influence in the entropy by digital filtered signals due to the finite precision. To contribute in such a direction, this manuscript presents some remarks about the entropy of filtered signals. Three types of filters are investigated: Butterworth, Chebyshev, and elliptic. Using a boundary technique, the parameters of the filters are evaluated according to the word length of 16 or 32 bits. It has been shown that filtered signals have their entropy increased even if the filters are linear. A significant positive correlation (p < 0.05) was observed between order and Shannon entropy of the filtered signal using the elliptic filter. Comparing to signal-to-noise ratio, entropy seems more efficient at detecting the increasing of noise in a filtered signal. Such knowledge can be used as an additional condition for designing digital filters.

Item Type:	Article
Keywords:	theory of information; computer arithmetic; digital filter; shannon entropy;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	16722
Identification Number:	https://doi.org/10.3390/e22030365
Depositing User:	Erivelton Nepomuceno
Date Deposited:	21 Nov 2022 15:15
Journal or Publication Title:	Entropy
Publisher:	MDPI
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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