Showing 1-25 of 11,464 resultsfor "Index Terms":Dirac Delta
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Frequency Modulation and First-Order Delta Sigma Modulation: Signal Representation With Unity Weight Dirac Impulses
Signal representation by means of unity weight and continuous-time aperiodic Dirac impulses is discussed, where the Dirac impulses are triggered at the zero crossings of frequency-modulated (FM) sinusoids. Analysis is based on generalized FM. The Fourier spectrum Psi(f) of such a Dirac impulse sequence psi(t) is composed of the signal spectrum plus a superposition of weighted FM spectra around int...Show More
An Application of Dirac’s Delta Function in Bivariate Beta-Gamma Distribution
2022 8th International Conference on Contemporary Information Technology and Mathematics (ICCITM)
Year: 2022 | Conference Paper |
The Dirac delta function \delta(x)is one of the most important mathematical functions that is used successfully in physics and mathematics. Several authors have used this function to derive distributions of functions of random variables. This article consists of two main axes, namely, the use of change-of-variables technique and \delta(x) in deriving the ratio distribution of the two variables...Show More
Computational Reconstruction of Dirac- Delta Function from Quantum Electrodynamics Rules
2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC)
Year: 2022 | Conference Paper |
It is reconstructed the Dirac-Delta function exhibiting an interesting texture when the function is parametrized. For this end the well-known quantum electrodynamics rules are employed. Thus when the energy conservation is done then a closed form can be extracted and that is far away from its traditional meaning.Show More
Effective Mass of Electrons in a Dirac Comb Potential
2018 XIV International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE)
Year: 2018 | Conference Paper |
The classical problem of calculating electrons energy dispersion law for a potential function being the one-dimensional Dirac Comb (the 1-D infinite periodic sequence of delta function shaped barriers) is considered. The problem has been solved using numerical method. For a specified set of model parameters the allowed energy values as functions of electron's wave vector are calculated for the two...Show More
Firefly Algorithm with fireflies having quantum behavior
2012 International Conference on Radar, Communication and Computing (ICRCC)
Year: 2012 | Conference Paper |
Cited by: Papers (5)
Firefly Algorithm (FA), a population based algorithm has been found superior over other algorithms in solving optimization problems. In this paper we intend to formulate a quantum Delta potential well model for FA. The fireflies are placed in an exponent atmosphere where the extinction coefficient varies with distance between the fireflies and a global updation operator with weighting function was...Show More
Iterative learning control with dirac-delta function under state alignment condition
2013 13th International Conference on Control, Automation and Systems (ICCAS 2013)
Year: 2013 | Conference Paper |
In this paper, we develop iterative learning control (ILC) algorithms when the final states of previous iteration are equal to the initial states of current iteration, which is called state alignment. When a new iteration begins along continuous time domain without stopping for a reset, the typical ILC algorithm is modified using dirac-delta function such that the state alignment condition is sati...Show More
On the Dirac Delta Approximation and the MGF Method for ASER Analyses of Digital Communications over Fading Channels
IEEE Communications Letters
Cited by: Papers (7)
Two distinct methods are applied to derive tighter closed-form approximations for the average symbol error rate (ASER) of a multitude of coherent and differentially coherent digital modulations (with/without diversity) in different fading environments. The first approach relies on the Dirac delta function approximation of a generalized function g(x)=xc-1 exp(-ax) to eliminate the need for integrat...Show More
On the Theory and Application of the Fractional-Order Dirac-Delta Function
In this brief, we study a generalized fractional-order Dirac delta function defined using the M -Wright function M_{\alpha }(t) . The function M_{\alpha }(t) is the inverse Laplace transform of the single-parameter Mittag-Leffler function E_{\alpha }({-}s) , which itself can be viewed as the fractional-order generalization of the exponential function for 0 < \alpha < 1 . At the lim...Show More
Switched networks analysis with inconsistent initial conditions
Mihai Iordache;Marilena Stănculescu;Dragos Niculae;Maria-Lavinia Iordache Bobaru;Răzvan Asanache
2017 International Conference on Modern Power Systems (MPS)
Year: 2017 | Conference Paper |
Cited by: Papers (1)
Switched networks modelling lead very often to discontinuities of circuit's variables corresponding to switching time moments. This phenomenon is said to have inconsistent initial conditions (IIC). The IIC problem appears only for ideal switches in ideal circuits when, after switching, the circuit contains excess elements. As a consequence, Dirac delta functions and their derivatives can occur in ...Show More
An Efficient Algorithm for Approximating Impulse Inputs and Transferring Instantly the State of Linear Matrix Control Systems
Athanasios A. Karageorgos;Athanasios A. Pantelous;Grigoris I. Kalogeropoulos
2009 11th International Conference on Computer Modelling and Simulation
Year: 2009 | Conference Paper |
Last decades, the control and system theory has been beneficed more by the new technological trends. Thus, in numerous (computational) applications, for instant in electronics, in computers, in engineering, as well as, in financial issues, some elements of the control and system theory have been introduced. In this paper, we are interested to change instantly the state of linear matrix differentia...Show More
An Analytic Surface-Field-Based Quasi-Atomistic Model for Nanowire MOSFETs With Random Dopant Fluctuations
Chuyang Hong;Qi Cheng;Pu Wang;Wei Meng;Libo Yang;James B. Kuo;Yijian Chen
For the first time, an analytic surface-field-based model for nanowire MOSFETs with random dopant fluctuations (RDF) is reported. In this model, the depletion charge due to the discrete dopant distribution is described by the Dirac δ functions, while the mobile charge keeps its continuous form. By introducing two new variables, the discrete 1-D Poisson's equation is transformed into a simple algeb...Show More
Frequency-encoded integrators applied to filtering and sigma-delta modulation
2016 IEEE International Symposium on Circuits and Systems (ISCAS)
Year: 2016 | Conference Paper |
A theoretical approach to the problem of replicating continuous-time systems with frequency modulated oscillators is proposed. It has been shown that continuous time filters and especially, the loop filter of a sigma-delta modulator, can be implemented with VCOs and digital circuitry. The analysis of these architectures is usually based on the integral relationship between frequency and phase in a...Show More
A novel fuzzy set evolution is proposed for digital image binary segmentation into foreground and background areas. The scheme is derived from a goal function which considers only within-class variances for pixel values. The discrete form of the cost function gradient leads to a simple recurrent equation for membership functions. The equation has the single impulsive factor approximating Diracpsil...Show More
Blind signal processing for impulsive noise channels
In this paper, a new blind signal processing scheme for equalization in fading and impulsive-noise channel environments is introduced based on probability density function matching method and a set of Dirac-delta functions. Gaussian kernel of the proposed blind algorithm has the effect of cutting out the outliers on the difference between the desired level values and impulse-infected outputs. And ...Show More
Scattering of an Electromagnetic Pulse by a Moving Wedge
The paper is concerned with the analysis of 2-D scattering of an electromagnetic (EM) pulse by a perfectly conducting wedge moving with a relativistic velocity in a free space. The incident signal is described by a Dirac delta function. Analytical solution to this scattering problem is found, and its physical interpretation is given. The field representation, valid for all scatterer velocities, is...Show More
ZVS modelling of the LLC converter operating as unity power factor front end
2018 IEEE 19th Workshop on Control and Modeling for Power Electronics (COMPEL)
Year: 2018 | Conference Paper |
Cited by: Papers (5)
The series resonant, parallel loaded LLC with voltage in- and output has widely been studied and used for DC-DC power conversion applications. In contrast, this paper considers the standard LLC in the AC-DC case, which means a far wider input voltage range from the peak mains down to approximately zero. Beside the question whether and how the standard LLC converter can handle the resulting large g...Show More
Euclidian distance minimization of probability density functions for blind equalization
Blind equalization techniques have been used in broadcast and multipoint communications. In this paper, two criteria of minimizing Euclidian distance between two probability density functions (PDFs) for adaptive blind equalizers are presented. For PDF calculation, Parzen window estimator is used. One criterion is to use a set of randomly generated desired symbols at the receiver so that PDF of the...Show More
The Budden energy nonconservation paradox is dispelled herein by recognizing that the pole approach to the spatial origin from below in the complex plane can be resolved into a real principal value minus i\pi times a Dirac delta, the imaginary coefficient whereof supplies just the right amount of localized dissipation to equilibrate the energy budget precisely, regardless of whether wave incide...Show More
Analysis of critical sampling effects revisited
2017 Signal Processing: Algorithms, Architectures, Arrangements, and Applications (SPA)
Year: 2017 | Conference Paper |
In the paper, some specific problems occurring in analysis of critically sampled signals and their reconstruction are considered. These are the problems which are mostly omitted in the literature of the subject because they can lead to ambiguous results. Because of this reason, their explanation is hard and thankless. Here, we show how to find and verify the general description of the resulting si...Show More
Concerning the Laplace transform of sampled signals
First Page of the Article
Show MoreA Solution of the Two-Capacitor Problem Through its Similarity to Single-Electron Electronics
The purpose of this paper is to investigate the two-capacitor paradox using circuit models developed in the analysis of circuits that include nanoelectronic single-electron tunneling devices. The two-capacitor paradox, in which it seems that energy is not conserved in a simple circuit consisting of two capacitors in parallel separated by an ideal switch, is resolved by applying linear circuit theo...Show More
Limit Cycles in a MEMS Oscillator
In this paper, we apply methods of nonlinear dynamics to study the behavior of a microelectromechanical oscillator. We show how the analysis predicts the appearance of a devil's staircase-like relationship between frequencies, but also show how the output frequency of the oscillator, and hence the devil's staircase, may not be uniquely determined. Both of these features - the sequence of steps cor...Show More
Analytical Evaluation of VCO-ADC Quantization Noise Spectrum Using Pulse Frequency Modulation
IEEE Signal Processing Letters
Cited by: Papers (25)
Oversampled ADCs based on voltage-controlled oscillators have been analyzed using statistical models inherited from sigma-delta modulation. This letter shows that the discrete Fourier transform of a VCO-ADC output sequence can be calculated analytically for single tone inputs. The calculation is based on the transformation of the VCO output into a pulse frequency modulated signal that can be repre...Show More
Higher order cumulants and cumulant spectra
Fifth ASSP Workshop on Spectrum Estimation and Modeling
Year: 1990 | Conference Paper |
Cited by: Papers (2)
An exposition of higher order cumulants is given using the case of M=6. The basic relationship between the cumulant spectrum of a stationary time series and its polyspectrum is presented. Then the variance and covariance of the sample bispectrum is derived using a relationship between cumulant spectra of the finite Fourier transform for M=2 and 4, and the bispectrum and trispectrum of the time ser...Show More
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