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In the paper we consider the invariant zero assignment problem in a linear multivariable system with several inputs/outputs by constructing a system output matrix. The problem is reduced to the pole assignment problem by a state feedback…

Dynamical Systems · Mathematics 2007-05-23 Ye. Smagina

The Kalman filter computes the optimal variable-gain using prior knowledge of the initial state and random (process and measurement) noise distributions, which are assumed to be Gaussian with known variance. However, when these…

Systems and Control · Electrical Eng. & Systems 2022-01-31 Hugh Lachlan Kennedy

The size- and fluorescence-based sorting of micro- and nano-scale particles suspended in fluid presents a significant and important challenge for both sample analysis and for manufacturing of nanoparticle-based products. Here we demonstrate…

Soft Condensed Matter · Physics 2015-02-16 Sukumar Rajauria , Christopher Axline , Claudia Gottstein , Andrew N. Cleland

A partition polynomial is a refinement of the partition number p(n) whose coefficients count some special partition statistic. Just as partition numbers have useful asymptotics so do partition polynomials. In fact, their asymptotics…

Combinatorics · Mathematics 2021-11-25 Robert P. Boyer , Daniel Parry

We present a method able to recover location and residue of poles of functions meromorphic in a half--plane from samples of the function on the real positive semi-axis. The function is assumed to satisfy appropriate asymptotic conditions…

Numerical Analysis · Mathematics 2014-09-04 Enrico De Micheli , Giovanni Alberto Viano

Analog feature extraction is a power-efficient and re-emerging signal processing paradigm for implementing the front-end feature extractor in on device keyword-spotting systems. Despite its power efficiency and re-emergence, there is little…

Audio and Speech Processing · Electrical Eng. & Systems 2023-04-19 Subhajit Ray , Xinghua Sun , Nolan Tremelling , Maria Gordiyenko , Peter Kinget

In this paper we introduce a common problem in electronic measurements and electrical engineering: finding the first root from the left of an equation in the presence of some initial conditions. We present examples of electrotechnical…

Numerical Analysis · Mathematics 2011-03-22 Yaroslav D. Sergeyev , Pasquale Daponte , Domenico Grimaldi , Anna Molinaro

Locating the sources of forced low-frequency oscillations in power systems is an important problem. A number of proposed methods demonstrate their practical usefulness, but many of them rely on strong modeling assumptions and provide poor…

Systems and Control · Computer Science 2018-05-08 Samuel Chevalier , Petr Vorobev , Konstantin Turitsyn

Time-resolved optical filtering (TROF) measures the spectrogram or sonogram by a fast photodiode followed a tunable narrowband optical filter. For periodic signal and to match the sonogram, numerical TROF algorithm is used to find the…

Optics · Physics 2013-01-15 KeangPo Ho , Hsi-Cheng Wang , Hau-Kai Chen , Cheng-Chen Wu

Digital linear filters are used in a variety of applications (sound treatment, control/command, etc.), implemented in software, in hardware, or a combination thereof. For safety-critical applications, it is necessary to bound all variables…

Programming Languages · Computer Science 2007-06-05 David Monniaux

A spreadsheet algorithm is given for the atomic force microscope that accounts for non-linear behavior in the deflection of the cantilever and in the photo-diode response. In addition, the data analysis algorithm takes into account…

Soft Condensed Matter · Physics 2013-01-15 Phil Attard

This paper describes a new approach for using changepoint detection (CPD) to estimate the starting and stopping times of a forced oscillation (FO) in measured power system data. As with a previous application of CPD to this problem, the…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Luke Dosiek , Akaash Karn , Frank Liu

A new numerical method is introduced for calculation of quasi-polynomial zeros with constant single delay. The trajectories of zeros are obtained depending on time-delay from zero to final time-delay value. The method determines all the…

Systems and Control · Electrical Eng. & Systems 2020-03-06 Suat Gumussoy

In this paper, motivated by the setting of white-space detection [1], we present theoretical and empirical results for detection of the zero-support E of x \in Cp (xi = 0 for i \in E) with reduced-dimension linear measurements. We propose…

Information Theory · Computer Science 2013-03-11 Juhwan Yoo , Yao Xie , Andrew Harms , Waheed U. Bajwa , Robert Calderbank

Cyclic codes have been widely used in digital communication systems and consume electronics as they have efficient encoding and decoding algorithms. The weight distribution of cyclic codes has been an important topic of study for many…

Information Theory · Computer Science 2013-01-15 Jing Yang , Maosheng Xiong , Cunsheng Ding

Zeroth-order (ZO) optimization is a subset of gradient-free optimization that emerges in many signal processing and machine learning applications. It is used for solving optimization problems similarly to gradient-based methods. However, it…

Machine Learning · Computer Science 2020-06-23 Sijia Liu , Pin-Yu Chen , Bhavya Kailkhura , Gaoyuan Zhang , Alfred Hero , Pramod K. Varshney

A photon source is located in a rotating waveguide. An absorber with a sharp absorbing frequency absorbs some of the emitted photons. This decreases the number of photons which are detected by a detector. The frequency (energy) spectrum…

Classical Physics · Physics 2022-11-24 M. Khorrami , A. H. Fatollahi , A. Shariati

The method of location and spectral estimation of weak signals on a noise background is being considered. The method is based on the optimized on order and noise dispersion autoregressive model of a sought signal. A new approach of model…

Computational Engineering, Finance, and Science · Computer Science 2007-07-03 Yu. Bunyak , O. Bunyak

A new technique for reliably identifying point sources in millimeter/sub-millimeter wavelength maps is presented. This method accounts for the frequency dependence of noise in the Fourier domain as well as non-uniformities in the coverage…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 T. A. Perera , G. W. Wilson , K. S. Scott , J. E. Austermann , J. R. Schaar , A. Mancera

Fluid antenna system promises to obtain enormous diversity in the small space of a mobile device by switching the position of the radiating element to the most desirable position from a large number of prescribed locations of the given…

Optimization and Control · Mathematics 2022-01-19 Zhi Chai , Kai-Kit Wong , Kin-Fai Tong , Yu Chen , Yangyang Zhang