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Discrete Fourier transform based frequency characteristics of iterative learning control for linear discrete-time systems
For discrete-time iterative learning control systems, the discrete Fourier transform (DFT) is a powerful technique for frequency analysis, and...
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Mathematical Modelling of the Lomb–Scargle Method in Astrophysics
In astrophysics, the Lomb–Scargle method is widely used to analyse time series observations of stellar objects. The method allows us to detect... -
SRMD: Sparse Random Mode Decomposition
Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for...
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Frequency Analysis of Time Series
This chapter examines the linear mixed models from Chap. 5 that have traditionally been used to analyze time series data. It also examines... -
Frequency-Constrained Substring Complexity
We introduce the notion of frequency-constrained substring complexity. For any finite string, it counts the distinct substrings of the string per... -
Frequency-dependent viscoelasticity effects on the wave attenuation performance of multi-layered periodic foundations
In this paper, layered periodic foundations (LPFs) are numerically examined for their responses to longitudinal and transverse modes in the time and...
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Approaches for Going Beyond Linear Frequency Domain Powertrain Simulation
The study of powertrain multi-body systems in time-domain can be prohibitively expensive for systems with high rotational speeds. Solving the... -
Polaron Formation Dynamics in Lithium Niobate from Massively Parallel ab-initio Simulations
Polarons influence decisively the performance of lithium niobate for optical applications. In this project, the formation of (defect) bound polarons... -
Frequency Criterion for the Existence of Sliding Processes in Control Systems with an Arbitrary Variable Structure
The article proposes a criterion for the existence of sliding processes according to the frequency characteristics of the control device and the... -
Supervised Low-Rank Semi-nonnegative Matrix Factorization with Frequency Regularization for Forecasting Spatio-temporal Data
We propose a novel methodology for forecasting spatio-temporal data using supervised semi-nonnegative matrix factorization (SSNMF) with frequency...
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Data-Driven Model Order Reduction of Parameterized Dissipative Linear Time-Invariant Systems
We introduce a framework for data-driven model order reduction of parameterized LTI systems with guaranteed uniform dissipativity. The strategy casts... -
Global Strong Solutions and Large-time Behavior of 2D Tropical Climate Model
In this paper we mainly deal with the global well-posedness and large-time behavior of the 2D tropical climate model with small initial data. We...
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Identification and Recognition of Bio-acoustic Events in an Ocean Soundscape Data Using Fourier Analysis
Growing research in the design and development of automated systems to identify and recognize bio-acoustic signals is hastily finding significance... -
Reaction–Diffusion Problems on Time-Periodic Domains
Reaction–diffusion equations are studied on bounded, time-periodic domains with zero Dirichlet boundary conditions. The long-time behaviour is shown...
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A Secure Way to Message Based on Internet Protocol on RSA Algorithm Using DNA Encoding with Laplace Transform Computing
Security plays a vital role in transmitting confidential information. Cryptographic algorithms are essential in providing data security against... -
Numerical Validation of Optimization Approach for Solution of Coefficient Inverse Problem in Pseudo-Frequency Domain
We present a Lagrangian approach for the solution to an acoustic coefficient inverse problem. Given data in the pseudo-frequency domain, after the... -
The Time-Frequency Interference Terms of the Green’s Function for the Harmonic Oscillator
The harmonic oscillator is a fundamental prototype for all types of resonances, and hence plays a key role in the study of physical systems governed... -
Time-Harmonic Oscillations of a Poroelastic Body with an Application to Modelling the Spinal Cord
The time-dependent flow of a liquid through a deforming poroelastic material can be modelled using a system of coupled time-dependant partial... -
Application of the Harmonic Balance Method to Calculate the First Booster Stage Tonal Noise
AbstractThe results of the numerical investigation of the tone noise of the first booster stage of a high bypass ratio turbofan in the far field in...