Special Issue "Recent Applications of Fractal-Wavelet Analysis in Applied Science and Engineering"

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Applied Industrial Technologies".

Deadline for manuscript submissions: 31 March 2021.

Special Issue Editors

Dr. Emanuel Guariglia
Website
Guest Editor
University of Bologna
Interests: fractional calculus; wavelet analysis; fractal geometry; applied functional analysis; mathematical modelling; computational mathematics; signal processing; image processing; information theory; antenna theory
Special Issues and Collections in MDPI journals
Prof. Dr. Rodrigo Capobianco Guido
Website
Guest Editor
São Paulo State University, Rua Cristóvão Colombo 2265, Postal Code 15054-000, São José do Rio Preto, SP, Brazil
Interests: Digital Signal Processing; Speech Processing; Speech and Language Processing
Special Issues and Collections in MDPI journals

Special Issue Information

Dear Colleagues,

In the last four decades, there has been a growing interest in both fractal geometry and wavelet analysis. Indeed, these two theories have been widely applied both in pure and applied science. In particular, fractal sets have become extremely popular thanks to their flexibility in modelling for real-world applications. Image processing, electromagnetism, economy, finance, and medicine are just a few of many research fields where fractal geometry is widely used. Likewise, wavelet analysis has become popular and important due mainly to several applications in numerous and widespread fields (signal processing, electromagnetism, information theory, etc.). In particular, both image processing and electromagnetism have shown that the fractal-wavelet approach can shed some new light on several unsolved problems. In fact, nonlinear models are often described and approximated by pre-fractal sets and wavelet expansions, respectively. Both theories show rather strikingly that contemporary mathematics is capable of providing ever more refined models for real-world applications. The choice of pre-fractal set and wavelet basis relies on the technical requirements and complexity of the physics problem. In the last fifteen years, several publications have appeared documenting the interest of many researchers in this topic.

In this Special Issue, we invite and welcome review, expository, and original papers dealing with recent advances in fractal-wavelet analysis and from a more general point of view, all theoretical and practical investigations in physics and engineering focused on this topic.

The main topics of this Special Issue include (but are not limited to):

  1. Fractality of discrete sets.
  2. Fractal sets and number theory.
  3. Iterated function systems random fractals.
  4. Fractal markets.
  5. Fractal-wavelet models and electromagnetic radiation.
  6. Wavelet theory and image processing.
  7. Wavelet models in probability.
  8. Biomedical engineering and wavelet modelling.
  9. Wavelet finance.

Dr. Emanuel Guariglia
Prof. Dr. Rodrigo Capobianco Guido
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Fractal Set
  • Fractal Market
  • Lyapunov Exponent
  • Chaoticity
  • Wavelet Expansion
  • Multiresolution Analysis
  • Wavelet Packet
  • Dynamical System

Published Papers

This special issue is now open for submission.
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