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It is observed that the Cauchy integral formula (CIF) can be used to represent holomorphic functions of diagonalizable operators on a finite domain. This forms the theoretical foundation for applying various operators in the form of a…

Chemical Physics · Physics 2025-07-09 Ke Liao

The goal of target tracking is to estimate target position, velocity, and acceleration in real time using position data. This paper introduces a novel target-tracking technique that uses adaptive input and state estimation (AISE) for…

Systems and Control · Electrical Eng. & Systems 2025-01-09 Shashank Verma , Dennis S. Bernstein

In this paper, we numerically address the inverse problem of identifying a time-dependent coefficient in the time-fractional diffusion equation. An a priori estimate is established to ensure uniqueness and stability of the solution. A fully…

Numerical Analysis · Mathematics 2026-01-27 Arshyn Altybay

Integrate-and-Fire Time Encoding Machine (IF-TEM) is a power-efficient asynchronous sampler that converts analog signals into non-uniform time-domain samples. Adaptive IF-TEM (AIF-TEM) improves this machine by adapting its process to the…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Vered Karp , Aseel Omar , Alejandro Cohen

We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integrals which frequently arise in problems connected to wave propagation and general hyperbolic equations. The problem is to evaluate numerically…

Numerical Analysis · Mathematics 2007-05-23 Emmanuel Candes , Laurent Demanet , Lexing Ying

The gradual decommissioning of fossil fuel-driven power plants, that traditionally provide most operational flexibility in power systems, has led to more frequent grid stability issues. To compensate for the lack of flexible resources,…

Systems and Control · Electrical Eng. & Systems 2022-05-20 Alice Patig , Ognjen Stanojev , Petros Aristidou , Aristides Kiprakis , Gabriela Hug

This paper investigates the design and analysis of minimum mean square error (MMSE) turbo decision feedback equalization (DFE), with expectation propagation (EP), for single carrier modulations. Classical non iterative DFE structures have…

Signal Processing · Electrical Eng. & Systems 2018-07-03 Serdar Şahin , Antonio M. Cipriano , Charly Poulliat , Marie-Laure Boucheret

Consider a set of agents that wish to estimate a vector of parameters of their mutual interest. For this estimation goal, agents can sense and communicate. When sensing, an agent measures (in additive gaussian noise) linear combinations of…

Systems and Control · Computer Science 2019-03-27 António Simões , João Xavier

In this paper, we develop a novel high-dimensional time-varying coefficient estimation method, based on high-dimensional It\^o diffusion processes. To account for high-dimensional time-varying coefficients, we first estimate local (or…

Methodology · Statistics 2026-01-06 Donggyu Kim , Minseog Oh , Minseok Shin

In this article, a new category of soft-input soft-output (SISO) minimum-mean square error (MMSE) finite-impulse response (FIR) decision feedback equalizers (DFEs) with iteration-wise static filters (i.e. iteration variant) is investigated.…

Signal Processing · Electrical Eng. & Systems 2020-01-29 Serdar Şahin , Antonio Maria Cipriano , Charly Poulliat , Marie-Laure Boucheret

This paper considers black- and grey-box continuous-time transfer function estimation from frequency response measurements. The first contribution is a bilinear mapping of the original problem from the imaginary axis onto the unitdisk. This…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Ahmet Arda Ozdemir , Suat Gumussoy

Quantum phase estimation is an important component in diverse quantum algorithms. However, it suffers from spectral leakage, when the reciprocal of the record length is not an integer multiple of the unknown phase, which incurs an accuracy…

Quantum Physics · Physics 2022-05-17 Yifeng Xiong , Soon Xin Ng , Gui-Lu Long , Lajos Hanzo

Time-frequency representation (TFR) allowing for mode reconstruction plays a significant role in interpreting and analyzing the nonstationary signal constituted of various modes. However, it is difficult for most previous methods to handle…

Signal Processing · Electrical Eng. & Systems 2021-09-01 Haijian Zhang , Guang Hua

We propose a new approach for studying the notion of the instantaneous frequency of a signal. We build on ideas from the Synchrosqueezing theory of Daubechies, Lu and Wu and consider a variant of Synchrosqueezing, based on the short-time…

Numerical Analysis · Mathematics 2012-01-17 Gaurav Thakur , Hau-Tieng Wu

The higher order differential energy operator (DEO), denoted via $\Upsilon_k(x)$, is an extension to the second order famous Teager-Kaiser operator. The DEO helps measuring the higher order gauge of energy of a signal which is useful for…

Sound · Computer Science 2017-01-17 Amirhossein Javaheri , Mohammad Bagher Shamsollahi

The increasing penetration of renewable energy leads to a continuous reduction in system inertia, for which conventional synchronization criteria based solely on frequency consistency can no longer accurately capture the coupled dynamics of…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Yusen Wei , Lan Tang , Peidong Li

Time-frequency (TF) representations of time series are intrinsically subject to the boundary effects. As a result, the structures of signals that are highlighted by the representations are garbled when approaching the boundaries of the TF…

Signal Processing · Electrical Eng. & Systems 2021-02-24 Adrien Meynard , Hau-Tieng Wu

This paper introduces a novel hybrid AI method combining H filtering and an adaptive linear neuron network for flicker component estimation in power distribution systems.The proposed method leverages the robustness of the H filter to…

Systems and Control · Electrical Eng. & Systems 2025-09-01 Javad Enayati , Pedram Asef , Alexandre Benoit

Location of non-stationary forced oscillation (FO) sources can be a challenging task, especially in cases under resonance condition with natural system modes, where the magnitudes of the oscillations could be greater in places far from the…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Pablo Gill Estevez , Pablo Marchi , Francisco Messina , Cecilia Galarza

Time-frequency analysis (TFA) techniques play an important role in the field of machine fault diagnosis attributing to their superiority in dealing with nonstationary signals. Synchroextracting transform (SET) and transient-extracting…

Signal Processing · Electrical Eng. & Systems 2024-02-09 Yunlong Ma , Gang Yu , Tianran Lin , Qingtang Jiang
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