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In this paper we present an extended version of Hilbert-Huang transform, namely arbitrary-order Hilbert spectral analysis, to characterize the scale-invariant properties of a time series directly in an amplitude-frequency space. We first…

Fluid Dynamics · Physics 2011-07-20 Y. X. Huang , F. G. Schmitt , J. -P. Hermand , Y. Gagne , Z. M. Lu , Y. L. Liu

We present a new detection algorithm based on the wavelet transform for the analysis of high energy astronomical images. The wavelet transform, due to its multi-scale structure, is suited for the optimal detection of point-like as well as…

Transformer architectures, underpinned by the self-attention mechanism, have achieved state-of-the-art results across numerous natural language processing (NLP) tasks by effectively modeling long-range dependencies. However, the…

Machine Learning · Computer Science 2025-04-15 Andrew Kiruluta , Priscilla Burity , Samantha Williams

Cardiovascular diseases, including Heart Failure (HF), remain a leading global cause of mortality, often evading early detection. In this context, accessible and effective risk assessment is indispensable. Traditional approaches rely on…

Signal Processing · Electrical Eng. & Systems 2024-03-26 Sergio González , Abel Ko-Chun Yi , Wan-Ting Hsieh , Wei-Chao Chen , Chun-Li Wang , Victor Chien-Chia Wu , Shang-Hung Chang

This study introduces an improved VMD based signal decomposition methodology for non-contact heartbeat estimation using millimeterwave (mmWave) radar. Specifically, we first analyze the signal model of the mmWave radar system. The…

Signal Processing · Electrical Eng. & Systems 2025-02-18 Boyuan Gu , Yanhui Yang , Siyu You , Haiyang Sun , Jiahui Sun , Shisheng Guo

We discuss open problems related to the stochastic modeling of cardiac function. The work is based on an experimental investigation of the dynamics of heart rate variability (HRV) in the absence of respiratory perturbations. We consider…

Biological Physics · Physics 2015-05-14 I. A. Khovanov , N. A. Khovanova , P. V. E. McClintock , A. Stefanovska

Heart rate (HR) and heart rate variability (HRV) are important vital signs for human physical and mental health. Recent research has demonstrated that photoplethysmography (PPG) sensors can infer HR and HRV. However, it is difficult to find…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Jingye Xu , Yuntong Zhang , Wei Wang , Mimi Xie , Dakai Zhu

This paper presents a short evaluation about the integration of information derived from wavelet non-linear-time-invariant (non-LTI) projection properties using Support Vector Machines (SVM). These properties may give additional information…

Information Retrieval · Computer Science 2007-05-23 Jaime Gomez , Ignacio Melgar , Juan Seijas

One of the key challenges in the area of signal processing on graphs is to design transforms and dictionaries methods to identify and exploit structure in signals on weighted graphs. In this paper, we first generalize graph Fourier…

Computer Vision and Pattern Recognition · Computer Science 2019-02-28 Jiasong Wu , Fuzhi Wu , Qihan Yang , Youyong Kong , Xilin Liu , Yan Zhang , Lotfi Senhadji , Huazhong Shu

For most of the state-of-the-art speech enhancement techniques, a spectrogram is usually preferred than the respective time-domain raw data since it reveals more compact presentation together with conspicuous temporal information over a…

Sound · Computer Science 2016-08-24 Syu-Siang Wang , Alan Chern , Yu Tsao , Jeih-weih Hung , Xugang Lu , Ying-Hui Lai , Borching Su

Graph Signal Processing has become a very useful framework for signal operations and representations defined on irregular domains. Exploiting transformations that are defined on graph models can be highly beneficial when the graph encodes…

Machine Learning · Computer Science 2019-10-14 Yusuf Pilavci , Nicolas Farrugia

A novel data-driven method of modal analysis for complex flow dynamics, termed as reduced-order variational mode decomposition (RVMD), has been proposed, combining the idea of the separation of variables and a state-of-the-art nonstationary…

Fluid Dynamics · Physics 2022-09-27 Zi-Mo Liao , Zhiye Zhao , Liang-Bing Chen , Zhen-Hua Wan , Nan-Sheng Liu , Xi-Yun Lu

A beat-to-beat Tele-fetal Monitoring and comparison with clinical data are studied with a wavelet transformation approach. Tele-fetal monitoring is a big progress toward a wearable medical device for a pregnant woman capable of obtaining…

Quantitative Methods · Quantitative Biology 2023-01-24 Maria Farahi , Alicia Casals , Omid Sarrafzadeh , Yasaman Zamani , Hooran Ahmadi , Naeimeh Behbood , Hessam Habibian

In this work we study the characteristics of the heart rate variability (HRV) as a function of age and gender. The analyzed data include previous results reported in the literature. The data obtained in this work expand the range of age…

Quantitative Methods · Quantitative Biology 2018-10-11 Isabel M. Irurzun , Magdalena M. Defeo , L. Garavaglia , Thomas Mailland , E. E. Mola

We propose a new method for (global) Hurst exponent determination based on wavelets. Using this method, we analyze synthetic data with predefined Hurst exponents, fracture surfaces and data from economy. The results are compared with those…

Materials Science · Physics 2010-05-04 Ingve Simonsen , Alex Hansen , Olav Magnar Nes

The proposed method introduces a parameter determination approach based on the minimum Fractal box dimension (FBD) of Variational Mode Decomposition (VMD) components, aiming to address the issue of manual determination of VMD decomposition…

Signal Processing · Electrical Eng. & Systems 2024-05-17 Pei Yuhang , Yu Min , Yu Yan

Time-domain algorithms are focused on detecting local maxima or local minima using a moving window, and therefore finding the interval between the dominant J-peaks of ballistocardiogram (BCG) signal. However, this approach has many…

Signal Processing · Electrical Eng. & Systems 2021-01-26 Ibrahim Sadek

Detrend fluctuation analysis (DFA) has become a choice method for effective analysis of a broad variety of nonstationary signals. We show in the present article that, provided the nonstationary fluctuations occur at a large enough time…

Quantitative Methods · Quantitative Biology 2007-05-23 Luciano da Fontoura Costa , Ruth Caldeira de Melo , Ester da Silva , Audrey Borghi-Silva , Aparecida Maria Catai

Wrist-worn smart devices are providing increased insights into human health, behaviour and performance through sophisticated analytics. However, battery life, device cost and sensor performance in the face of movement-related artefact…

Signal Processing · Electrical Eng. & Systems 2020-04-02 Eoin Brophy , Willie Muehlhausen , Alan F. Smeaton , Tomas E. Ward

Fetal heart rate variability (fHRV) is an important indicator of health and disease, yet its physiological origins, neural contributions in particular, are not well understood. We aimed to develop novel experimental and data analytical…