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We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(n D kappa(f)) iterations where n is the number of polynomials (as well as the dimension of the ambient space), D…

Computational Complexity · Computer Science 2010-07-12 Felipe Cucker , Teresa Krick , Gregorio Malajovich , Mario Wschebor

A multi-pole, multi-zero design allowed realizing a "true" phase-shifter (not time-delayer) of flat frequency-response over more than 3 decades (30Hz-100kHz), which can be extended to higher frequencies or broader bands thanks to a modular…

Instrumentation and Detectors · Physics 2013-03-01 M. A. Bitar , A. Gallo , F. A. Volpe

This paper introduces a novel adaptation approach for first-order pre- and de-emphasis filters, an essential tool in many speech and audio codecs to increase coding efficiency and perceived quality. The proposed zero-bit self-adaptation…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-13 Niloofar Omidi Piralideh , Philippe Gournay , Roch Lefebvre

Narrow-band filters are often used to constrain the chemical composition of astronomical objects through photometry. A challenge to derive accurate photometry is that narrow-band filters are based on interference of multiple reflections and…

Instrumentation and Methods for Astrophysics · Physics 2022-11-21 Federico Battaini , Roberto Ragazzoni , Antonino P. Milone , Gabriele Cremonese

This paper investigates the effects of setting the sampling frequency significantly higher than conventional guidelines in system identification. Although continuous-time identification methods resolve the numerical difficulties encountered…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Ichiro Maruta , Toshiharu Sugie

Particle filters are broadly used to approximate posterior distributions of hidden states in state-space models by means of sets of weighted particles. While the convergence of the filter is guaranteed when the number of particles tends to…

Computation · Statistics 2017-11-01 Víctor Elvira , Joaquín Míguez , Petar M. Djurić

The independence polynomial originates in statistical physics as the partition function of the hard-core model. The location of the complex zeros of the polynomial is related to phase transitions, and plays an important role in the design…

Combinatorics · Mathematics 2021-04-26 David de Boer , Pjotr Buys , Lorenzo Guerini , Han Peters , Guus Regts

The applications of the partial fraction decomposition in control and systems engineering are several. In this letter, we propose a new interpretation of residues in the partial fraction decomposition, which is employed for the following…

Systems and Control · Electrical Eng. & Systems 2024-12-11 Davide Tebaldi , Roberto Zanasi

In statistical physics, phase transitions are arguably among the most extensively studied phenomena. In the computational approach to this field, the development of algorithms capable of estimating entropy across the entire energy spectrum…

Statistical Mechanics · Physics 2026-02-23 Julio Cesar Siqueira Rocha , Rodrigo Alves Dias , Bismarck Vaz da Costa

The extraction of signals from noise is a common problem in all areas of science and engineering. A particularly useful version is that of forecasting: determining a causal filter that estimates a future value of a hidden process from past…

Optimization and Control · Mathematics 2026-02-02 Serhii Kryhin , Tatiana Mouzykantskii , Vivishek Sudhir

This paper aims to improve the performance and positioning accuracy of a robot by using the particle filter method. The laser range information is a wireless navigation system mainly used to measure, position, and control autonomous robots.…

Robotics · Computer Science 2021-10-29 Rashid Ali , Dil Nawaz Hakro , Yongping He , Wenpeng Fu , Zhiqiang Cao

A general approach to the problem of positioning by means of pulsars or other pulsating sources located at infinity is described. The counting of the pulses for a set of different sources whose positions in the sky and periods are assumed…

General Relativity and Quantum Cosmology · Physics 2015-05-14 A. Tartaglia

We present an application of equation-free computation to the coarse-grained feedback linearization problem of nonlinear systems described by microscopic/stochastic simulators. Feedback linearization with pole placement requires the…

Cellular Automata and Lattice Gases · Physics 2007-05-23 C. I. Siettos , I. G. Kevrekidis , N. Kazantzis

A new method for extracting the phase of oscillations from noisy time series is proposed. To obtain the phase, the signal is filtered in such a way that the filter output has minimal relative variation in the amplitude (MIRVA) over all…

Chaotic Dynamics · Physics 2009-11-10 A. G. Rossberg , K. Bartholome , J. Timmer

This paper extends the well-known source coding problem of multiple descriptions, in its general and basic setting, to analog source-channel coding scenarios. Encoding-decoding functions that optimally map between the (possibly continuous…

Information Theory · Computer Science 2015-10-05 Mustafa Said Mehmetoglu , Emrah Akyol , Kenneth Rose

Audio or visual data analysis tasks usually have to deal with high-dimensional and nonnegative signals. However, most data analysis methods suffer from overfitting and numerical problems when data have more than a few dimensions needing a…

Audio and Speech Processing · Electrical Eng. & Systems 2021-12-24 Sergio Muñoz-Romero , Jerónimo Arenas García , Vanessa Gómez-Verdejo

A novel analytical approach to the synthesis of electrical (e.g. analogue, digital or microwave) filters is proposed. This approach allows to obtain lowest possible degree filters with given involved specification including e.g. many pass…

Systems and Control · Computer Science 2017-11-23 Andrei B. Bogatyrev , Sergei A. Goreinov , Sergei Yu. Lyamaev

In this paper we document a novel laboratory experimental platform for non-contact planar manipulation (positioning) of millimeter-scale objects using acoustic pressure. The manipulated objects are either floating on a water surface or…

Systems and Control · Computer Science 2020-11-13 Josef Matouš , Adam Kollarčík , Martin Gurtner , Tomáš Michálek , Zdeněk Hurák

We derive an analytical model describing the effect of filtering on amplified spontaneous emission noise during or after opto-electronic conversion. In particular, we show that electrical filtering results in a further reduction of the…

Optics · Physics 2018-06-25 Jeremy Witzens

Research into the visual cortex and general neural information processing has led to various attempts to integrate pulse computation schemes in image analysis systems. Of interest is especially the robustness of representing an analogue…

Computer Vision and Pattern Recognition · Computer Science 2014-08-12 C. Mayr , R. Schüffny