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In this paper, we continue some work devoted to explicit zero-free discs for a large class of Dirichlet series. In a previous article, such zero-free regions were described using some spaces of functions which were defined with some…

Functional Analysis · Mathematics 2011-12-02 Emmanuel Fricain , Christophe Delaunay , Elie Mosaki , Olivier Robert

Polarization is a fundamental property of light that carries distinct and valuable information. Consequently, its precise measurement is crucial for numerous applications, including biomedical imaging, remote sensing, and optical…

A new method for designing non-uniform filter-banks for acoustic echo cancellation is proposed. In the method, the analysis prototype filter design is framed as a convex optimization problem that maximizes the signal-to-alias ratio (SAR) in…

Sound · Computer Science 2014-02-19 R. C. Nongpiur , D. J. Shpak

BLDC motor applications require precise position and speed measurements, traditionally obtained with sensors. This article presents a method for estimating those measurements without position sensors using terminal phase voltages with…

Systems and Control · Electrical Eng. & Systems 2024-02-07 Jose-Carlos Gamazo-Real , Victor Martinez-Martinez , Jaime Gomez-Gil

A new type of atomic interferometer is proposed, in which the traditional method of measuring the state of an atom is replaced by the technique of polarization spectroscopy using the working substance of a clot of condensate of two-level…

Applied Physics · Physics 2025-06-23 A. Zh. Muradyan

This document reports the design, implementation and testing of a small silicon resource usage, very flexible arbitrary percentile finding scheme called the Tiny Median Filter. It can be used not only as a median filter in image processing…

Hardware Architecture · Computer Science 2024-12-10 Jinyuan Wu

We present an exact and complete algorithm to isolate the real solutions of a zero-dimensional bivariate polynomial system. The proposed algorithm constitutes an elimination method which improves upon existing approaches in a number of…

Mathematical Software · Computer Science 2010-10-08 Eric Berberich , Pavel Emeliyanenko , Michael Sagraloff

A representation of the Pad\'e approximation of the $Z$-transform of a signal as a resolvent of a tridiagonal matrix $J$ is given. Several formulas for the poles, zeros and residues of the Pad\'e approximation in terms of the matrix $J$ are…

Numerical Analysis · Mathematics 2018-01-18 Luca Perotti , Michal Wojtylak

Accurate localization for mobile nodes has been an important and fundamental problem in underwater acoustic sensor networks (UASNs). The detection information returned from a mobile node is meaningful only if its location is known. In this…

Networking and Internet Architecture · Computer Science 2014-12-31 Zhihua Liu , Han Gao , Wuling Wang , Shuai Chang , Jiaxing Chen

This contribution is devoted to cover some technical aspects related to the use of the recently proposed energy probability distribution zeros in the study of phase transitions. This method is based on the partial knowledge of the partition…

Statistical Mechanics · Physics 2017-12-13 L A S Mól , R G M Rodrigues , R A Stancioli , J C S Rocha , B V Costa

In this paper, the displacement of the phase centers of multi-mode antennas is investigated. A mathematical approach is applied in order to calculate the positions of the phase center for each mode. Using electric far field samples obtained…

Signal Processing · Electrical Eng. & Systems 2020-01-29 Sami Alkubti Almasri , Peter Adam Hoeher

Physical systems and signals are often characterized by complex functions of frequency in the harmonic-domain. The extension of such functions to the complex frequency plane has been a topic of growing interest as it was shown that specific…

Power line communications (PLC) has been drawing considerable interest in recent years due to the growing interest in smart grid implementation. Specifically, network control and grid applications are allocated the frequency band of 0-500…

Other Computer Science · Computer Science 2014-03-06 Nir Shlezinger , Ron Dabora

We derive a useful result about the zeros of the $k$-polar polynomials on the unit circle; in particular we obtain a ring shaped region containing all the zeros of these polynomials. Some examples are presented.

Complex Variables · Mathematics 2024-09-04 Roberto S. Costas-Santos , Abdelhamid Rehouma

This paper proposes an efficient method for the calculation of the stabilization parameters in RF power amplifiers operating in periodic large-signal regimes. Stabilization is achieved by applying the principles of linear control theory for…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Libe Mori , Ibone Lizarraga , Aitziber Anakabe , Juan-Mari Collantes , Vincent Armengaud , Geoffroy Soubercaze-Pun

Fractional order (FO) filters have been investigated in this paper, with band-pass (BP) and band-stop (BS) characteristics, which can not be achieved with conventional integer order filters with orders lesser then two. The quality factors…

Systems and Control · Computer Science 2013-01-03 Anindya Pakhira , Saptarshi Das , Anish Acharya , Indranil Pan , Suman Saha

A numerical algorithm (implemented in Matlab) for computing the zeros of the parabolic cylinder function $U(a,z)$ in domains of the complex plane is presented. The algorithm uses accurate approximations to the first zero plus a highly…

Numerical Analysis · Mathematics 2025-03-27 T. M. Dunster , A. Gil , D. Ruiz-Antolín , J. Segura

Mechanical and electronic imperfections can result into polarization leakage in individual antennas of a radio interferometer. Such leakages manifest themselves as closure errors even in co-polar visibility measurements of unpolarized…

Astrophysics · Physics 2009-11-06 Sanjay Bhatnagar , Rajaram Nityananda

This technical note is on digital filters for the high-fidelity estimation of a sinusoidal signal's frequency in the presence of additive noise. The complex noise is assumed to be white (i.e. uncorrelated) however it need not be Gaussian.…

Signal Processing · Electrical Eng. & Systems 2023-08-15 Hugh Lachlan Kennedy

The non-trivial zeros of the Riemann zeta function and the prime numbers can be plotted by a modified von Mangoldt function. The series of non-trivial zeta zeros and prime numbers can be given explicitly by superposition of harmonic waves.…

General Mathematics · Mathematics 2017-12-25 Levente Csoka