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This paper addresses the problem of expressing a signal as a sum of frequency components (sinusoids) wherein each sinusoid may exhibit abrupt changes in its amplitude and/or phase. The Fourier transform of a narrow-band signal, with a…

Machine Learning · Computer Science 2013-02-27 Yin Ding , Ivan W. Selesnick

The time-domain analysis of pulse width modulated (PWM) single-phase inverters is presented for different load circuits. It is demonstrated that this analysis can be reduced to the solution of linear simultaneous algebraic equations with…

Signal Processing · Electrical Eng. & Systems 2020-06-16 Siddharth Tyagi , Isaak Mayergoyz

Uniform quantization is a topic that has been extensively studied. However and although an analytical description of quantization noise has been proposed, most descriptions of the spectral properties of quantization error resort to…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Ricardo Carrero , Ruben Garvi , Luis Hernandez

This paper proposes a numerical method for solving time-dependent Schrodinger equations with finite spectral bandwidth, which applies to both periodic and non-periodic cases. We introduce the concept of Pulse Width Modulation (PWM), which…

Quantum Physics · Physics 2022-09-23 Qi-Ming Chen , Re-Bing Wu

Modeling power electronic converters at frequencies close to or above half the switching frequency has been difficult due to the time-variant and discontinuous switching actions. This paper uses the properties of moving Fourier coefficients…

Systems and Control · Electrical Eng. & Systems 2024-06-28 Hongchang Li , Kangping Wang , Jingyang Fang , Wenjie Chen , Xu Yang

A new carrier-based pulse-width modulation (PWM) technique to control power inverters is presented in this paper. To generate the output waveform, this technique compares a harmonic-injection modulating wave and a frequency-modulated…

This paper considers the problem of designing a multilevel pulse width modulated waveform (PWM) with a prescribed harmonic content. Multilevel PWM design plays a major role in many diverse engineering disciplines. In power electronics,…

Systems and Control · Computer Science 2018-01-03 Shravan Mohan , Bharath Bhikkaji

The basic form of drifting sub-pulses is that of a periodicity whose phase depends (approximately linearly) on both pulse longitude and pulse number. As such, we argue that the two-dimensional Fourier transform of the longitude-time data…

Astrophysics · Physics 2009-11-07 R. T. Edwards , B. W. Stappers

A fast-wave pulse in a simple, cold, inhomogeneous MHD model plasma is constructed by Fourier superposition over frequency of harmonic waves that are singular at their respective Alfven resonances. The pulse partially reflects before…

Solar and Stellar Astrophysics · Physics 2010-11-17 C S Hanson , P S Cally

Single pulses of pulsar radio emission are modeled as superposition of radiation originating from many small subsources that are randomly distributed in the emission region. The individual subsources are given an intrinsic finite angular…

Astrophysics · Physics 2009-11-10 Qinghuan Luo

Beamforming is traditionally associated with coherent summation of signals from antenna elements of the same polarization, here referred to as single polarization beamforming (SPBF). In this paper we focus on a new method, called dual…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Sven O. Petersson

Mode conversion of transverse electromagnetic waves into longitudinal oscillations and the associated resonant absorption of wave energy in inhomogeneous plasmas is a phenomenon that has been studied extensively in plasma physics. We show…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 Kihong Kim , Seulong Kim

Phasor Measurement Units (PMUs) convert high-speed waveform data into low-speed phasor data, which are fundamental to wide-area monitoring and control in power systems, with oscillation detection and localization among their most prominent…

Signal Processing · Electrical Eng. & Systems 2026-01-23 Bowen Ou , Bin Wang , Slava Maslennikov , Hanchao Liu , Jim Follum

We experimentally demonstrate amplitude and phase modulation of a time-energy entangled two-photon wave function. The entangled photons are produced by spontaneous parametric down-conversion, spectrally dispersed in an prism compressor,…

Quantum Physics · Physics 2009-01-23 F. Zäh , M. Halder , T. Feurer

We present a method for the generation of complex pulse sequences by using periodic spectral phase modulation. An analytical expression is derived for the temporal profile of such pulse sequences, which relates the temporal amplitudes and…

Optics · Physics 2014-01-15 Itan Barmes , Axel Ruehl

This study introduces a short-time Fourier transform-based method for reconstructing signals encoded using modulo analog-to-digital converters with 1-bit folding information. In contrast to existing Fourier-based reconstruction approaches…

Signal Processing · Electrical Eng. & Systems 2026-01-14 Neil Irwin Bernardo

A simple way of simulating transmission lines using a free software is presented. In order to validate the results, the effective value of reflection coefficient for voltage wave in a quarter wavelength line was determined trough a…

Applied Physics · Physics 2021-04-07 Fulvio Andres Callegari

The availability of electromagnetic pulses with controllable field waveform and extremely short duration, even below a single optical cycle, is imperative to fully harness strong-field processes and to gain insight into ultrafast…

Pulse-width modulation is a nice way to create pseudo analog outputs from a microcontroller (eg, an Arduino), which is limited to digital output signals. The quality of the analog output signal depends on the filter one uses to average out…

Physics Education · Physics 2018-07-31 Nathan T Moore

The Phasor diagrams have long been used in Physics and Engineering. In telecommunications, this is particularly useful to clarify how the modulations work. This paper addresses rotating phasor pathways derived from different standard…

Popular Physics · Physics 2015-02-11 H. M. de Oliveira , F. D. Nunes
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