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Financial Times Series such as stock price and exchange rates are, often, non-linear and non-stationary. Use of decomposition models has been found to improve the accuracy of predictive models. The paper proposes a hybrid approach…

Statistical Finance · Quantitative Finance 2016-05-25 Dhanya Jothimani , Ravi Shankar , Surendra S. Yadav

In this paper we propose a new wavelet transform applicable to functions defined on graphs, high dimensional data and networks. The proposed method generalizes the Haar-like transform proposed in [1], and it is defined via a hierarchical…

Computer Vision and Pattern Recognition · Computer Science 2015-05-20 Idan Ram , Michael Elad , Israel Cohen

In this work, we propose a new detector function based on wavelet transform to discriminate between turbulent and non-turbulent regions in an intermittent velocity signal. The derivative-based detector function, which is commonly used in…

Fluid Dynamics · Physics 2023-01-02 Satyajit De , Aditya Anand , Sourabh S. Diwan

Uninterruptible power supply is the main motive of power utility companies that motivate them for identifying and locating the different types of faults as quickly as possible to protect the power system prevent complete power black outs…

Systems and Control · Computer Science 2016-09-29 P. K. Ray , B. K. Panigrahi , P. K. Rout , A. Mohanty , H. Dubey

Remote heart rate estimation is the measurement of heart rate without any physical contact with the subject and is accomplished using remote photoplethysmography (rPPG) in this work. rPPG signals are usually collected using a video camera…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Eugene Lee , Evan Chen , Chen-Yi Lee

S&P 500 index data sampled at one-minute intervals over the course of 11.5 years (January 1989- May 2000) is analyzed, and in particular the Hurst parameter over segments of stationarity (the time period over which the Hurst parameter is…

Statistics Theory · Mathematics 2008-12-02 Erhan Bayraktar , H. Vincent Poor , Ronnie Sircar

In this paper, a novel and robust algorithm is proposed for adaptive beamforming based on the idea of reconstructing the autocorrelation sequence (ACS) of a random process from a set of measured data. This is obtained from the first column…

Information Theory · Computer Science 2021-06-25 Saeed Mohammadzadeh , Vitor H. Nascimento , Rodrigo C. de Lamare , Osman Kukrer

Time-frequency representations (TFRs) of signals, such as the windowed Fourier transform (WFT), wavelet transform (WT) and their synchrosqueezed variants (SWFT, SWT), provide powerful analysis tools. However, there are many important issues…

Numerical Analysis · Mathematics 2014-05-27 Dmytro Iatsenko , Peter V. E. McClintock , Aneta Stefanovska

To fluently collaborate with people, robots need the ability to recognize human activities accurately. Although modern robots are equipped with various sensors, robust human activity recognition (HAR) still remains a challenging task for…

Robotics · Computer Science 2020-08-17 Md Mofijul Islam , Tariq Iqbal

The Fast Fourier Transform (FFT) is widely used in applications such as MRI, CT, and interferometry; however, because of its dependence on uniformly sampled data, it requires the use of gridding techniques for practical implementation. The…

Numerical Analysis · Mathematics 2025-12-22 Federico Achini , Paola Causin , Sara Vanini , Ke Chen , Simone Scacchi

It is well known that the motion of a ground moving target may induce the range cell migration, spectrum spread and velocity ambiguity during the imaging time, which makes the image smeared. To eliminate the influence of these factors on…

Applications · Statistics 2015-02-17 Jing Tian , Wei Cui , Si-liang Wu

In this paper, a novel decomposition method for non-stationary and nonlinear signals is proposed. This method is inspired by the adaptive wavelet filter bank of the empirical wavelet transform (EWT) and Fourier intrinsic band functions…

Signal Processing · Electrical Eng. & Systems 2019-12-03 Wei Zhou , Zhongren Feng , Xiongjiang Wang , Hao Lv

Approximately 10\% of newborns require assistance to initiate breathing at birth, and around 5\% need ventilation support. Fetal heart rate (FHR) monitoring plays a crucial role in assessing fetal well-being during prenatal care, enabling…

Machine Learning · Computer Science 2025-09-26 Kjersti Engan , Neel Kanwal , Anita Yeconia , Ladislaus Blacy , Yuda Munyaw , Estomih Mduma , Hege Ersdal

Vertex-frequency analysis, particularly the windowed graph Fourier transform (WGFT), is a significant challenge in graph signal processing. Tight frame theories is known for its low computational complexity in signal reconstruction, while…

Signal Processing · Electrical Eng. & Systems 2024-12-31 Linbo Shang , Zhichao Zhang

A data-driven block thresholding procedure for wavelet regression is proposed and its theoretical and numerical properties are investigated. The procedure empirically chooses the block size and threshold level at each resolution level by…

Statistics Theory · Mathematics 2009-03-31 T. Tony Cai , Harrison H. Zhou

Extending computational harmonic analysis tools from the classical setting of regular lattices to the more general setting of graphs and networks is very important and much research has been done recently. The Generalized Haar-Walsh…

Signal Processing · Electrical Eng. & Systems 2021-12-28 Naoki Saito , Yiqun Shao

In this paper, we introduce a new wavelet tool for studying the degree of non-periodicity of time series that is based on some recently defined tools, such as the \textit{windowed scalogram} and the \textit{scale index}. It is especially…

Chaotic Dynamics · Physics 2020-05-29 Vicente J. Bolos , Rafael Benitez , Roman Ferrer

Frequently, transient changes in physiological signals, such as ECG morphology, precede or follow a rate change. Current methods for visualizing morphology allow only the tracking of preselected changes, severely limiting analytical…

Medical Physics · Physics 2026-02-24 Tomasz Gradowski , Damian Waląg , Tomir Domański , Teodor Buchner

Haar wavelet is one of the best mathematical tools in image cryptography and analysis. Because of the specific structure, this wavelet has the ability which is combined with other mathematical tools such as chaotic maps. The rational order…

Cryptography and Security · Computer Science 2017-01-16 Sodeif Ahadpour , Yaser Sadra , Meisam Sadeghi

This paper focuses on real-time all-frequency image-based rendering using an innovative solution for run-time computation of light transport. The approach is based on new results derived for non-linear phase shifting in the Haar wavelet…

Computer Vision and Pattern Recognition · Computer Science 2017-05-23 Mais Alnasser , Hassan Foroosh
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