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We give an efficient algorithm to enumerate all sets of $r\ge 1$ quadratic polynomials over a finite field, which remain irreducible under iterations and compositions.

We propose an approach to the problem of global reconstruction of an orientation field. The method is based on a geometric model called "bisector line fields", which maps a pair of vector fields to an orientation field, effectively…

数值分析 · 数学 2020-09-22 Nicolas Boizot , Ludovic Sacchelli

In this paper, the effects of oscillator phase-noise with arbitrary spectral characteristics on self-interference cancellation capability of a full-duplex radio transceiver are addressed, and design considerations are given for oscillator…

信息论 · 计算机科学 2014-12-04 Ville Syrjälä , Koji Yamamoto , Mikko Valkama

Orthogonal frequency division multiplexing (OFDM) has been widely adopted for modern wireless standards and become a key enabling technology for cognitive radios. However, one of its main drawbacks is significant spectral leakage due to the…

信号处理 · 电气工程与系统科学 2017-12-25 Phu Xuan Nguyen , Thinh Hung Pham , Trang Hoang , Oh-Soon Shin

Previously proposed designs of integrated photonic devices have used the intuitive brute force approach or optimization methods that employ parameter search algorithms. However, a small parameter space and poor exploitation of the…

应用物理 · 物理学 2019-02-28 Yusuf A. Yilmaz , Ahmet M. Alpkilic , Aydan Yeltik , Hamza Kurt

In the recent years a significant progress was achieved in the field of design and fabrication of optical systems based on freeform optical surfaces. They provide a possibility to build fast, wide-angle and high-resolution systems, which…

Compact interferometers, called phasemeters, make it possible to operate over a large range while ensuring a high resolution. Such performance is required for the stabilization of large instruments dedicated to experimental physics such as…

天体物理仪器与方法 · 物理学 2018-12-03 Jennifer Watchi , Sam Cooper , Binlei Ding , Conor M. Mow-Lowry , Christophe Collette

A unidirectional imager would only permit image formation along one direction, from an input field-of-view (FOV) A to an output FOV B, and in the reverse path, the image formation would be blocked. Here, we report the first demonstration of…

To approximate solutions of a linear differential equation, we project, via trigonometric interpolation, its solution space onto a finite-dimensional space of trigonometric polynomials and construct a matrix representation of the…

数值分析 · 数学 2011-08-30 Oksana Bihun , Austin Bren , Michael Dyrud , Kristin Heysse

Photothermal-Induced Resonance (PTIR) is increasingly used in the measurement of infrared absorption spectra of sub-micrometer objects. The technique measures IR absorption spectra by relying on the photothermal effect induced by a rapid…

化学物理 · 物理学 2019-11-28 Luca Quaroni

Asynchronous and cyclostationary impulsive noise can severely impact the bit-error-rate (BER) of OFDM-based powerline communication systems. In this paper, we analyze an adaptive nonlinear analog front end filter that mitigates various…

信号处理 · 电气工程与系统科学 2017-12-12 Reza Barazideh , Balasubramaniam Natarajan , Alexei V. Nikitin , Ruslan L. Davidchack

We propose a new model-free segmentation method for idealizing ion channel recordings. This method is designed to deal with heterogeneity of measurement errors. This in particular applies to open channel noise which, in general, is…

统计方法学 · 统计学 2020-08-07 Florian Pein , Annika Bartsch , Claudia Steinem , Axel Munk

The two-matrix model can be solved by introducing bi-orthogonal polynomials. In the case the potentials in the measure are polynomials, finite sequences of bi-orthogonal polynomials (called "windows") satisfy polynomial ODEs as well as…

可精确求解与可积系统 · 物理学 2015-06-26 M. Bertola , B. Eynard

We present a superpixel method for full spatial phase and amplitude control of a light beam using a digital micromirror device (DMD) combined with a spatial filter. We combine square regions of nearby micromirrors into superpixels by low…

光学 · 物理学 2015-06-19 Sebastianus A. Goorden , Jacopo Bertolotti , Allard P. Mosk

This paper presents a framework for abstracting uncertain or non-polynomial components of dynamical systems using polynomial constraints. This enables the application of polynomial-based analysis tools, such as sum-of-squares programming,…

系统与控制 · 电气工程与系统科学 2026-04-02 Neelay Junnarkar , Peter Seiler , Murat Arcak

In this paper, we describe the principle of a multi-aperture interferometer that uses a phase-shifting technique and is suitable for quick, snapshot imaging of astrophysical objects at extreme angular resolution through Fourier inversion. A…

光学 · 物理学 2015-05-28 Francois Henault

We describe a many-channel experiment control system based on a field-programmable gate array (FPGA). The system has 16 bit resolution on 10 analog 100 MS/s input channels, 14 analog 100 MS/s output channels, 16 slow analog input and output…

仪器与探测器 · 物理学 2023-08-03 Daniel T. Schussheim , Kurt Gibble

This work focuses on the generation of far-field super-resolved pure-azimuthal focal field based on the fast Fourier transform. A self-designed differential filter is first pioneered to robustly reconfigure a doughnut-shaped azimuthal focal…

We discuss design techniques for catadioptric sensors that realize given projections. In general, these problems do not have solutions, but approximate solutions may often be found that are visually acceptable. There are several methods to…

计算机视觉与模式识别 · 计算机科学 2007-05-23 R. Andrew Hicks

The current designs of future electron-positron linear colliders incorporate large and complex damping rings to produce asymmetric beams for beamstrahlung suppression. Here we present the design of an electron injector capable of delivering…

加速器物理 · 物理学 2022-05-10 Tianzhe Xu , Masao Kuriki , Philippe Piot , John Power