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Numerical Differentiation of Noisy Data: A Unifying Multi-Objective Optimization Framework [PDF]

open access: yesIEEE Access, 2020
Computing derivatives of noisy measurement data is ubiquitous in the physical, engineering, and biological sciences, and it is often a critical step in developing dynamic models or designing control.
Floris Van Breugel   +2 more
doaj   +4 more sources

Two Simultaneous Leak Diagnosis in Pipelines Based on Input–Output Numerical Differentiation [PDF]

open access: yesSensors, 2021
This paper addresses the two simultaneous leak diagnosis problem in pipelines based on a state vector reconstruction as a strategy to improve water shortages in large cities by only considering the availability of the flow rate and pressure head ...
Adrián Navarro-Díaz   +3 more
doaj   +2 more sources

Differentiation of Saccadic Eye Movement Signals

open access: yesSensors, 2021
Saccadic electrooculograms are discrete biosignals that contain the instantaneous angular position of the human eyes as a response to saccadic visual stimuli.
Roberto A. Becerra-García   +2 more
doaj   +1 more source

Adaptive Numerical Differentiation [PDF]

open access: yesMathematics of Computation, 1979
It is well known that the calculation of an accurate approximate derivative f ′ ( x ) f\prime (x) of a nontabular function f ( x ) f(x) on a finite-precision computer by the formula d ( h ) = ( f
Stepleman, R. S., Winarsky, N. D.
openaire   +1 more source

Higher accuracy order in differentiation-by-integration

open access: yesMathematical Modelling and Analysis, 2021
In this text explicit forms of several higher precision order kernel functions (to be used in the differentiation-by-integration procedure) are given for several derivative orders.
Andrej Liptaj
doaj   +1 more source

Numerical Derivative Using the Piecewise Uniform Mesh [PDF]

open access: yesKirkuk Journal of Science, 2018
In this paper, a technique of a piecewise-uniform meshes formed on an improvement finite difference algorithm for finding derivatives of functions. The purpose was to overcome difficulties which face numerical derivatives of functions with stiff formula,
Rafiq Muhammad
doaj   +1 more source

Method for Determining the Sea Waves Curvature Using Wave Buoys Conventional Shape

open access: yesИзвестия высших учебных заведений России: Радиоэлектроника, 2020
Introduction. Modern wave buoys due to their design make it possible to determine a directional wave spectrum using five coefficients of the Fourier series. However, up to nine members of the series can be determined from wave surface measurements.
K. A. Gleb
doaj   +1 more source

Numerical differentiation for two-dimensional scattered data on arbitrary domain base on Hermite extension with an implicit iteration process

open access: yesAIMS Mathematics, 2022
In this paper, we develop a method for numerical differentiation of two-dimensional scattered input data on arbitrary domain. A Hermite extension approach is used to realize the approximation and a modified implicit iteration method is proposed to ...
Benxue Gong   +3 more
doaj   +1 more source

Real-Time Estimation of Temperature Time Derivative in Inertial Measurement Unit by Finite-Impulse-Response Exponential Regression on Updates

open access: yesSensors, 2020
We present a filtering technique that allows estimating the time derivative of slowly changing temperature measured via quantized sensor output in real time.
Alexander Kozlov, Ilya Tarygin
doaj   +1 more source

Comparative Analysis of State-Space and Companion-Circuit Methodologies for the Periodic Steady-State Solution in Time-Domain of Nonlinear Electric Networks

open access: yesIEEE Access, 2021
This contribution reports a comparative analysis of two methodologies for the periodic steady-state solution of linear and nonlinear electric networks in time-domain (TD), based on the state-space model (SSM) and companion-circuit analysis (CCA ...
Julio Cesar Godinez-Delgado   +1 more
doaj   +1 more source

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