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    Some Remarks about Entropy of Digital Filtered Signals

    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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    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:
    Depositing User: Erivelton Nepomuceno
    Date Deposited: 21 Nov 2022 15:15
    Journal or Publication Title: Entropy
    Publisher: MDPI
    Refereed: Yes
    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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