Fractional Fourier and Wavelet Transform Methods for Holography, Imaging, and Signal Processing
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: 31 August 2027 | Viewed by 32
Editors
Interests: fractional Fourier transform; wavelet transform; computational finance; sparse grids; artificial boundaries; splitting methods
Special Issues, Collections and Topics in MDPI journals
Interests: signal and image processing; fractional Fourier transform; fractional wavelet transform; holography and interferometry; inverse problems and image reconstruction; numerical algorithms and computational implementations; mathematical physics; wave propagation; underwater acoustics; unmanned autonomous vehicles
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Fractional Fourier and wavelet transform methods have become powerful and versatile tools of modern mathematical physics, wave theory, and applied analysis. The fractional Fourier transform, as a natural generalization of the classical Fourier transform, provides a unified description of wave propagation, diffraction, and optical and acoustic field transformations, while wavelet-based techniques offer efficient multiresolution and time-frequency representations that are essential for analyzing nonstationary signals, complex media, and holographic data.
The focus of this Special Issue: “Fractional Fourier and Wavelet Transform Methods for Holography, Imaging, and Signal Processing” is to advance research on the theory, computation, and applications of fractional Fourier, wavelet, and related integral transforms in holography, imaging, and signal processing. Topics that are invited for submission include (but are not limited to) the following:
- Mathematical theory of fractional Fourier and related fractional integral transforms;
- Wavelet analysis and multiresolution methods;
- Time-frequency and multiscale signal representations;
- Wave propagation, diffraction, and scattering;
- Digital, optical, and acoustic holography;
- Inverse problems and image reconstruction algorithms;
- Optical, acoustic, and biomedical imaging;
- Advanced signal and image processing, including sparse and learning-based methods;
- Numerical algorithms and computational implementations of fractional transforms.
We look forward to receiving your contributions.
Prof. Dr. Matthias Ehrhardt
Prof. Dr. Sergey Pereselkov
Dr. Venedikt Kuz'kin
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 submissions that pass pre-check are 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 250 words) can be sent to the Editorial Office for assessment.
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-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly 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 2700 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
- fractional Fourier transform
- wavelet transform
- time–frequency analysis
- holography
- wave propagation
- inverse problems
- acoustic imaging
- optical imaging
- signal and image processing
- multiresolution analysis
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