Recent Advances in Fractional Fourier Transforms and Applications, 2nd Edition

Dear Colleagues,

With the rapid development of modern signal processing theory, the processed signal has gradually developed from the early stationary signal to the non-stationary, non-Gaussian, non-single sampling complex signal. As one of the important branches of non-stationary signal processing theory, fractional Fourier transform (FRFT) is favored by many researchers due to its unique characteristics. In recent decades, new research results have emerged in an endless stream. FRFT has been widely used in many scientific research and engineering fields, such as swept filters, artificial neural networks, wavelet transform, time–frequency analysis, time-varying filtering, complex transmission, partial differential equations, quantum mechanics, etc. In addition, FRFT can also be used to define fractional convolution, correlation, Hilbert transform, Riesz transform, and other operations, and can also be further generalized into the linear canonical transformation.

This Special Issue aims to continue to advance research on topics relating to the theory, algorithm development, and application of fractional Fourier transform.

Topics that are invited for submission include (but are not limited to):

• Mathematical theory of FRFT;
• Fractional integral transformation based on FRFT, such as Hilbert transform, Riesz transform, ;
• Applications of FRFT in signal processing, PDE, information security, and other fields;
• Numerical algorithm of FRFT;
• The generalization of FRFT (e.g., the linear canonical transform (LCT), fractional wavelet transforms, and chirp Fourier transform) in theory and applications.

Please feel free to read and download all published articles in our first volume: 
https://www.mdpi.com/journal/fractalfract/special_issues/FRFT.

Prof. Dr. Zunwei Fu
Prof. Dr. Bingzhao Li
Dr. Xiangyang Lu
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 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. 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.

• fractional Fourier transform
• linear canonical transform
• digital signal processing
• fractional integral operator
• partial differential equations

• Recent Advances in Fractional Fourier Transforms and Applications in Fractal and Fractional (11 articles)