Applied Mathematics in Information Systems and Processing

Dear Colleagues,

With the rapid development of information technology, the research object of information systems and processing gradually shifts from relatively simple and stable signals to more complex signals, such as non-stationary, non-Gaussian, and time-varying. Applied mathematics in information systems and processing focuses on transformation tools and optimization algorithms in applied mathematics, such as Fourier transform, wavelet transform, fractional-order transform, sparse representation, compressive sensing, etc., to process modern complex signals and large-scale data in information systems, as well as high-dimensional data with complex irregular topological structures. The fractional Fourier transform uses a set of linear frequency-modulated orthogonal bases to decompose the signal, which makes it suitable for processing non-stationary signals. With the demand for big data and real-time signal processing, sparse fractional Fourier transform and expansions, as well as fast algorithms, have been developed and widely applied in spectral sensing, image recognition and fusion, compressed sampling, and sparse representation. With the continuous emergence of large-scale and high-dimensional signals, the graph Fourier transform and its extensions have been developed.

This Special Issue aims to continue the research on the theory of fractional-order transform and related extended theories, discrete and sparse fast algorithms, graph transform and sampling, and their related applications. The topics for invitation submission include (but are not limited to) the following:

• Mathematical theory of fractional-order transform;
• Sparse representation and fast algorithm;
• Sparse fractional Fourier transform and its applications;
• Graph Fourier transform and its applications;
• Graph sampling theory and methods;
• Graph neural networks and their applications;
• Applications of fractional-order transform in signal processing, information security, and other fields.

Prof. Dr. Deyun Wei
Guest Editor

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. Mathematics 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 2600 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
• sparse fourier transform
• sparse fractional fourier transform
• graph fourier transform
• graph sampling
• graph neural network
• linear canonical transform
• compressive sensing
• fast fourier transform
• sampling theory
• sparse representation