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Time Series Analysis for Signal Processing

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Signal and Data Analysis".

Deadline for manuscript submissions: 30 November 2026 | Viewed by 2119

Editors


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Guest Editor
School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, China
Interests: forecasting; machine learning; deep learning; time series mining
Special Issues, Collections and Topics in MDPI journals
School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, China
Interests: signal processing; artificial intelligence; sound event detection

E-Mail Website
Guest Editor
School of Health Management, Anhui Medical University, Hefei 230032, China
Interests: time series forecasting; signal processing technique; big data modeling; environmental health management

Special Issue Information

Dear Colleagues,

In an era defined by data-rich environments from the Internet of Things (IoT), biomedical sensors, and communication systems, the volume and complexity of temporal signals are growing exponentially. This deluge presents a critical challenge: extracting meaningful information and actionable insights from noisy, high-dimensional, and non-stationary time series data. Traditional signal processing techniques, while foundational, often struggle with the scale and intricate patterns inherent in complex datasets. Concurrently, the field of deep time-series modeling has revolutionized forecasting and pattern recognition. Yet, these models often operate as "black boxes," lacking the interpretability and robustness required for sensitive signal-processing applications. This Special Issue positions entropy, mutual information, and related measures as principled tools for representation learning, model selection, uncertainty quantification, and rigorous evaluation in complex signal domains.

We invite research that unifies deep learning and signal processing via information-theoretic principles to improve transparency, efficiency, and reliability in intelligent signal analysis. Submissions may, for example, ground explainable AI in entropy/MI-based objectives, integrate physical knowledge with data-driven models under information-consistent constraints, or advance self-supervised learning tailored to unlabeled, multimodal, and non-stationary signals; equally welcome are new architectures and training schemes for denoising, anomaly detection, sound event detection, and classification that demonstrate robustness, sample-efficiency, and calibrated uncertainty under realistic conditions. Our goal is to curate contributions that achieve state-of-the-art performance while making the information flow within models explicit, enabling reproducible benchmarking, and establishing theory-guided principles for trustworthy signal processing at scale.

Prof. Dr. Ruobin Gao
Dr. Yang Yu
Dr. Zicheng Wang
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. Entropy 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 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

  • time series analysis
  • time series forecasting
  • long-range forecasting
  • neural networks

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Published Papers (2 papers)

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Research

26 pages, 11208 KB  
Article
Deep-Sea Target Localization with Entropy Reduction: Sound Ray Bending Correction Based on TOA Time Series Analysis and Joint TOA-AOA Fusion
by Yuzhu Kang, Xiaohong Shen, Haiyan Wang, Yongsheng Yan and Tianyi Jia
Entropy 2026, 28(4), 373; https://doi.org/10.3390/e28040373 - 25 Mar 2026
Viewed by 493
Abstract
Unlike terrestrial environments, the inhomogeneity distribution of underwater sound speed poses significant challenges for underwater ranging and target localization. In the presence of sound ray bending and sensor node position errors in underwater acoustic sensor networks (UASNs), this paper proposes a joint TOA-AOA [...] Read more.
Unlike terrestrial environments, the inhomogeneity distribution of underwater sound speed poses significant challenges for underwater ranging and target localization. In the presence of sound ray bending and sensor node position errors in underwater acoustic sensor networks (UASNs), this paper proposes a joint TOA-AOA deep-sea target localization framework based on sound ray bending correction. From the perspective of information theory and time series analysis, the TOA measurements are time series signals carrying target position information, and the entropy-based analysis quantifies the fundamental limit on localization uncertainty. First, based on the TOA time series measurements and combined with the acoustic propagation characteristics of the deep sea, a sound ray bending correction method is adopted to improve the accuracy of slant range measurement. To enhance target localization accuracy, this paper proposes a two-step WLS closed-form solution based on TOA-AOA. To further reduce localization bias, a maximum likelihood estimation (MLE) method based on the Gauss-Newton is also derived. Subsequently, the paper derives and analyzes the Cramér-Rao lower bound (CRLB) for target localization, proving theoretically that jointly using TOA-AOA can improve localization accuracy. Simulations verify the performance of the proposed methods. The slant range estimation method based on sound ray bending correction effectively improves range measurement accuracy. The proposed closed-form solution enhances target localization accuracy, achieving the CRLB accuracy. The Gauss-Newton MLE solution can attain the CRLB accuracy under certain localization geometries and further reduces localization bias. Full article
(This article belongs to the Special Issue Time Series Analysis for Signal Processing)
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19 pages, 880 KB  
Article
A Hybrid Model for Copper Futures Price Forecasting Utilizing Complexity-Aware Variational Mode Decomposition and Reconstruction and Multi-Behavior-Triggered Interaction Modeling
by Yan Li and Dezhi Liu
Entropy 2026, 28(3), 320; https://doi.org/10.3390/e28030320 - 12 Mar 2026
Viewed by 1065
Abstract
Accurate forecasting of copper futures prices is crucial for risk management and investment decisions. However, existing approaches primarily rely on historical prices and incorporate behavioral signals without a unified modeling framework. To address this limitation, we propose MBTI-Net (Multi-source Behavior-Triggered Interaction Network), a [...] Read more.
Accurate forecasting of copper futures prices is crucial for risk management and investment decisions. However, existing approaches primarily rely on historical prices and incorporate behavioral signals without a unified modeling framework. To address this limitation, we propose MBTI-Net (Multi-source Behavior-Triggered Interaction Network), a behavior-aware forecasting framework for heterogeneous copper market data. We first construct a compact behavioral factor from Baidu search indices via a multi-view projection strategy that preserves structural and predictive information. We then develop a complexity-aware reconstruction mechanism that aggregates intrinsic mode functions into multi-frequency components based on fuzzy entropy and energy. To accommodate distributional and volatility differences between behavioral and market variables, we introduce VB-ReVIN (Volatility- and Behavior-aware Reversible Instance Normalization). Building upon these representations, MBTI-Net models dynamic multi-source interactions triggered by behavioral intensity and market conditions, enabling adaptive cross-source information fusion. Experiments on LME and SHFE copper futures datasets demonstrate consistent improvements over state-of-the-art benchmarks, highlighting the importance of explicitly modeling behavior-driven dependencies in financial forecasting. Full article
(This article belongs to the Special Issue Time Series Analysis for Signal Processing)
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