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Mathematics
Special Issues
Mathematical Modeling and Optimization in Signal Processing
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Mathematical Modeling and Optimization in Signal Processing

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 15 January 2026 | Viewed by 2613

Special Issue Editors

Dr. Wenbo Zhang

E-Mail Website
Guest Editor
State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China
Interests: optical communication; optics communications; digital signal processing
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Jianping Li

E-Mail Website
Guest Editor
School of Information Engineering, Guangdong University of Technology, Guangzhou 510006, China
Interests: optical fiber communication; digital signal processing
Special Issues, Collections and Topics in MDPI journals
Dr. Feng Tian

E-Mail Website
Guest Editor
School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China
Interests: high-speed optical fiber communication; space division multiplexing; digital signal processing
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

To ensure the quality of communication systems, signal processing methods are widely used. In general, the key problem of signal processing can be seen as an optimization problem, which takes some selected features as its objective function, such as power consuming, bit error rate, and so on. The design of objective function is in fact a reflection of the understanding about the communication system, which is in fact a process of building mathematical models to measure the performance of communication systems. Because of these, mathematical modeling and optimization are closely related to signal processing. In this Special Issue, we will focus on collecting new topics, technologies, and knowledge about mathematical models of communication systems, especially mathematical models and optimization problems of optical fiber communication systems and optimization problems in signal processing.

Dr. Wenbo Zhang
Prof. Dr. Jianping Li
Dr. Feng Tian
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. 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.

Keywords

  • mathematical model
  • optimization
  • signal processing
  • optical fiber communications

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Published Papers (1 paper)

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Research

14 pages, 452 KiB  
Article
A Comprehensive Comparative Study of Quick Invariant Signature (QIS), Dynamic Time Warping (DTW), and Hybrid QIS + DTW for Time Series Analysis
by Hamid Reza Shahbazkia, Hamid Reza Khosravani, Alisher Pulatov, Elmira Hajimani and Mahsa Kiazadeh
Mathematics 2025, 13(6), 999; https://doi.org/10.3390/math13060999 - 19 Mar 2025
Viewed by 2236
Abstract
This study presents a comprehensive evaluation of the quick invariant signature (QIS), dynamic time warping (DTW), and a novel hybrid QIS + DTW approach for time series analysis. QIS, a translation and rotation invariant shape descriptor, and DTW, a widely used alignment technique, [...] Read more.
This study presents a comprehensive evaluation of the quick invariant signature (QIS), dynamic time warping (DTW), and a novel hybrid QIS + DTW approach for time series analysis. QIS, a translation and rotation invariant shape descriptor, and DTW, a widely used alignment technique, were tested individually and in combination across various datasets, including ECG5000, seismic data, and synthetic signals. Our hybrid method was designed to embed the structural representation of the QIS with the temporal alignment capabilities of DTW. This hybrid method achieved a performance of up to 93% classification accuracy on ECG5000, outperforming DTW alone (86%) and a standard MLP classifier in noisy or low-data conditions. These findings confirm that integrating structural invariance (QIS) with temporal alignment (DTW) yields superior robustness to noise and time compression artifacts. We recommend adopting hybrid QIS + DTW, particularly for applications in biomedical signal monitoring and earthquake detection, where real-time analysis and minimal labeled data are critical. The proposed hybrid approach does not require extensive training, making it suitable for resource-constrained scenarios. Full article
(This article belongs to the Special Issue Mathematical Modeling and Optimization in Signal Processing)
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