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Fractals and Wavelet Fisher’s Information

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Telematics and Computing (WITCOM 2023)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1906))

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Abstract

Fisher’s information measure (FIM) allows to study the complexities associated to random signals and systems and has been used in the literature to study EEG and other physiological signals. In this paper, various time-domain definitions of Fisher’s information are extended to the wavelet domain and closed-form expressions for each definition are obtained for fractal signals of parameter \(\alpha \). Fisher information planes are computed in a range of \(\alpha \) and based on these, characteristics, properties, and the effect of signal length is also identified. Moreover, based on this, a complete characterization of fractals by wavelet Fisher’s information is presented and the potential application of each definition in practical fractal signal analysis is also highlighted.

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Author information

Authors and Affiliations

  1. Universidad Autónoma del Estado de Quintana Roo, Av. Chetumal, Fracc. Prado Norte, 77519, Cancún, Quintana Roo, Mexico

    Julio César Ramírez Pacheco, David Ernesto Troncoso Romero & José Antonio León Borges

  2. Universidad Autónoma del Estado de Quintana Roo, Blvd. Bahía s/n, Del Bosque, 77019, Chetumal, Quintana Roo, Mexico

    Homero Toral Cruz

Authors
  1. Julio César Ramírez Pacheco
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  2. David Ernesto Troncoso Romero
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  3. Homero Toral Cruz
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  4. José Antonio León Borges
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Corresponding author

Correspondence to Julio César Ramírez Pacheco .

Editor information

Editors and Affiliations

  1. UPIITA - Instituto Politécnico Nacional, México, Mexico

    Miguel Félix Mata-Rivera

  2. ESCOM - Instituto Politécnico Nacional, México, Mexico

    Roberto Zagal-Flores

  3. Universidad Mayor, Santiago, Chile

    Cristian Barria-Huidobro

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Pacheco, J.C.R., Romero, D.E.T., Cruz, H.T., Borges, J.A.L. (2023). Fractals and Wavelet Fisher’s Information. In: Mata-Rivera, M.F., Zagal-Flores, R., Barria-Huidobro, C. (eds) Telematics and Computing. WITCOM 2023. Communications in Computer and Information Science, vol 1906. Springer, Cham. https://doi.org/10.1007/978-3-031-45316-8_6

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  • DOI: https://doi.org/10.1007/978-3-031-45316-8_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-45315-1

  • Online ISBN: 978-3-031-45316-8

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