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We consider baseband equivalent representation of transmission circuits, in the form of a nonlinear dynamical system $\mathbf S$ in discrete time (DT) defined by a series interconnection of a phase-amplitude modulator, a nonlinear dynamical…

Systems and Control · Computer Science 2017-03-21 Omer Tanovic , Alexandre Megretski , Yan Li , Vladimir M. Stojanovic , Mitra Osqui

Continuous time (CT) and discrete time (DT) linear time invariant (LTI) systems are commonly introduced through distinct mathematical formalisms, which can obscure their underlying dynamical equivalence. This tutorial presents a unified…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Luca Giangrande

This article describes the discrete-time modeling approach for interturn short circuits in interior permanent magnet synchronous motors with concentrated windings that facilitate model-based fault diagnostics and mitigation. A…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Lukas Zezula , Matus Kozovsky , Ludek Buchta , Petr Blaha

Time discretizations of phase-field systems have been studied. For example, a time discretization and an error estimate for a parabolic-parabolic phase-field system have been studied by Colli--K. [Commun. Pure Appl. Anal. 18 (2019)]. Also,…

Numerical Analysis · Mathematics 2021-02-02 Shunsuke Kurima

Recently, a novel system identification method based on invariant subspace theory is introduced, aiming to address the identification problem of continuous-time (CT) linear time-invariant (LTI) systems by combining time-domain and…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Jingze You , Chao Huang , Hao Zhang

The discrete autonomous/non-autonomous Toda equations and the discrete Lotka-Volterra system are important integrable discrete systems in fields such as mathematical physics, mathematical biology and statistical physics. They also have…

Mathematical Physics · Physics 2016-03-08 Masato Shinjo , Yoshimasa Nakamura , Masashi Iwasaki , Koichi Kondo

A comprehensive study on the Finite Difference Time Domain (FDTD) numerical modelling of space- and time-varying media is presented. We investigate the dynamic behavior of oblique incidence of both TM and TE electromagnetic fields on…

Optics · Physics 2024-11-26 Sajjad Taravati , Ahmed A Kishk , George V Eleftheriades

A finite-difference time-domain (FDTD) modelling of finite-size zero thickness space-time modulated Huygens' metasurfaces based on Generalized Sheet Transition Conditions (GSTCs), is proposed and numerically demonstrated. A typical…

Optics · Physics 2017-01-06 Scott A. Stewart , Tom J. Smy , Shulabh Gupta

The Differential Transformation (DT) method has demonstrated its potential in speeding up power system time-domain simulation by our previous work. This letter further derives DTs about a motor load model and proves that the nonlinear…

Systems and Control · Electrical Eng. & Systems 2019-08-27 Yang Liu , Kai Sun

This study presents the design, discretization and implementation of the continuous-time linear-quadratic model predictive control (CT-LMPC). The control model of the CT-LMPC is parameterized as transfer functions with time delays, and they…

Optimization and Control · Mathematics 2025-03-18 Zhanhao Zhang , Anders Hilmar Damm Christensen , Steen Hørsholt , John Bagterp Jørgensen

Since their introduction the Trasformer architectures emerged as the dominating architectures for both natural language processing and, more recently, computer vision applications. An intrinsic limitation of this family of "fully-attentive"…

Machine Learning · Computer Science 2023-03-16 Carmelo Scribano , Giorgia Franchini , Marco Prato , Marko Bertogna

Biologically inspired auditory models play an important role in developing effective audio representations that can be tightly integrated into speech and audio processing systems. Current computational models of the cochlea are typically…

Audio and Speech Processing · Electrical Eng. & Systems 2021-08-16 T. Dang , V. Sethu , E. Ambikairajah , J. Epps , H. Li

With the integration of communication and computing, it is expected that part of the computing is transferred to the transmitter side. In this paper we address the general problem of Frequency Modulation (FM) for function approximation…

Signal Processing · Electrical Eng. & Systems 2023-06-29 Marc Martinez-Gost , Ana Pérez-Neira , Miguel Ángel Lagunas

A discrete-time end-to-end fiber-optical channel model is derived based on the first-order perturbation approach. The model relates the discrete-time input symbol sequences of co-propagating wavelength channels to the received symbol…

Signal Processing · Electrical Eng. & Systems 2020-03-18 Felix Frey , Johannes K. Fischer , Robert F. H. Fischer

Orthogonal Time Frequency Space (OTFS) is a novel modulation scheme designed in the Doppler-delay domain to fully exploit time and frequency diversity of general time-varying channels. In this paper, we present a novel discrete-time…

Information Theory · Computer Science 2017-10-24 Ahmad RezazadehReyhani , Arman Farhang , Mingyue Ji , Rong Rong Chen , Behrouz Farhang-Boroujeny

This chapter reviews the fundamentals of continuous and discrete Linear Time-Invariant (LTI) systems with Single Input-Single Output (SISO). We start from the general notions of signals and systems, the signal representation problem and the…

Optimization and Control · Mathematics 2022-08-26 Miguel A. Mendez

In this paper an exact baseband equivalent model of a quadrature modulated all-digital transmitter is derived. No restrictions on the number of levels of a digital switched-mode power amplifier (SMPA) driving input, nor the pulse encoding…

Systems and Control · Computer Science 2017-02-14 Omer Tanovic , Rui Ma , Koon Hoo Teo

The linearization of nonlinear systems is an important digital enhancement technique. In this paper, a real-time capable post- and pre-linearization method for the widely applicable time-varying discrete-time Volterra series is presented.…

Systems and Control · Computer Science 2014-04-24 Matthias Hotz , Christian Vogel

Most methodologies for modeling Transmission Line (TL) based channels define the input-output relationship in the frequency domain (FD) and handle the TL resorting to a two-port network (2PN) formalism. These techniques have not yet been…

Information Theory · Computer Science 2011-09-27 Stefano Galli , Anna Scaglione

In this article we present a novel discrete-time design approach which reduces the deteriorating effects of sampling on stability and performance in digitally controlled nonlinear mechanical systems. The method is motivated by recent…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Paul Kotyczka , Tobias Thoma
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