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This second part comes to the construction of the spectrum associated to a situation of multi-adjunction. Exploiting a geometric understanding of its multi-versal property, the spectrum of an object is obtained as the spaces of local units…

Category Theory · Mathematics 2021-04-07 Axel Osmond

Two-wavelength adaptive optics (AO) systems sense turbulence-induced wavefront distortions using an artificial beacon or natural guidestar at one wavelength, while correcting and possibly transmitting at another. Although most existing AO…

Optics · Physics 2025-05-02 Milo W. Hyde , Matthew Kalensky , Mark F. Spencer

The paper discusses the relationships between electrical and affine differential geometry quantities, establishing a link between frequency and time derivatives of voltage, through the utilization of affine geometric invariants. Based on…

Differential Geometry · Mathematics 2024-09-26 Ali Alshawabkeh , Georgios Tzounas , Angel Molina-Garcia , Federico Milano

Ultra-fast and multi-dimensional spectroscopy gives a powerful looking glass into the dynamics of molecular systems. In particular two-dimensional electronic spectroscopy (2DES) provides a probe of coherence and the flow of energy within…

Quantum Physics · Physics 2021-03-31 André Anda , Jared H. Cole

Frequency diverse array multiple-input multiple-output (FDA-MIMO) radar differs from the traditional phased array (PA) radar, and can form range-angle-dependent beampattern and differentiate between closely spaced targets sharing the same…

Information Theory · Computer Science 2024-03-25 Mengjiang Sun , Peng Chen , Zhenxin Cao

Underwater source localization problems are complicated and challenging: a) the sound propagation speed is often unknown and the unpredictable ocean current might lead to the uncertainties of sensor parameters (i.e. position and velocity);…

Signal Processing · Electrical Eng. & Systems 2018-07-26 Bingbing Zhang , Yongchang Hu , Hongyi Wang , Zhaowen Zhuang

A novel approach combining agile beam switching with deep learning to enhance the speed and accuracy of Direction of Arrival (DOA) estimation for millimeter-wave (mmWave) phased array systems with low-complexity hardware implementations is…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Arav Sharma , Lei Chi , Ari Gebhardt , Alon S. Levin , Timothy R. Hoerning , Sam Keene

We address the problem of search-free direction of arrival (DOA) estimation for sensor arrays of arbitrary geometry under the challenging conditions of a single snapshot and coherent sources. We extend a method of searchfree…

Signal Processing · Electrical Eng. & Systems 2018-12-05 A. Govinda Raj , J. H. McClellan

Accurate Direction of Arrival (DoA) estimation is critical for applications in robotics and communication, but high costs and complexity of coherent multi-channel receivers hinder accessibility. This work proposes a cost-effective DoA…

Signal Processing · Electrical Eng. & Systems 2025-02-13 Lennart Werner , Markus Gardill , Marco Hutter

Although methods for estimating the pose of objects in indoor scenes have achieved great success, the pose estimation of underwater objects remains challenging due to difficulties brought by the complex underwater environment, such as…

Computer Vision and Pattern Recognition · Computer Science 2024-09-26 Jingyi Tang , Gu Wang , Zeyu Chen , Shengquan Li , Xiu Li , Xiangyang Ji

We consider the problem of direction of arrival (DOA) estimation using a newly proposed structure of non-uniform linear arrays, referred to as co-prime arrays, in this paper. By exploiting the second order statistical information of the…

Information Theory · Computer Science 2015-06-18 Zhao Tan , Yonina C. Eldar , Arye Nehorai

For the problem of 3D object recognition, researchers using deep learning methods have developed several very different input representations, including "multi-view" snapshots taken from discrete viewpoints around an object, as well as…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 Tengyu Ma , Joel Michelson , James Ainooson , Deepayan Sanyal , Xiaohan Wang , Maithilee Kunda

A new family of combined subdivision schemes with one tension parameter is proposed by the interpolatory and approximating subdivision schemes. The displacement vectors between the points of interpolatory and approximating subdivision…

Numerical Analysis · Mathematics 2019-04-30 Rabia Hameed

We present a previously unexplored forward-mode differentiation method for Maxwell's equations, with applications in the field of sensitivity analysis. This approach yields exact gradients and is similar to the popular adjoint variable…

Optics · Physics 2019-12-24 Tyler W Hughes , Ian A D Williamson , Momchil Minkov , Shanhui Fan

Parabolic bifurcations in one complex dimension demonstrate a wide variety of interesting dynamical phenomena. In this paper we consider parabolic bifurcations of families of diffeomorphisms in two complex dimensions. Specifically we…

Dynamical Systems · Mathematics 2012-08-14 Eric Bedford , John Smillie , Tetsuo Ueda

The light curves of variable stars are commonly described using simple trigonometric models, that make use of the assumption that the model parameters are constant in time. This assumption, however, is often violated, and consequently, time…

Instrumentation and Methods for Astrophysics · Physics 2015-05-30 J. Pelt , N. Olspert , M. J. Mantere , I. Tuominen

We analyse a mechanical system in two-dimensional relative motion with friction. Although the system is simple, the peculiar interplay between two kinetic friction forces and gravity leads to the wide range of admissible solutions exceeding…

Physics Education · Physics 2007-05-23 Dariusz Grech , Zygmunt Mazur

We consider the problem of active and sequential beam tracking at mmWave frequencies and above. We focus on the dynamic scenario of a UAV to UAV communications where we formulate the problem to be equivalent to tracking an optimal…

Signal Processing · Electrical Eng. & Systems 2021-06-22 Nancy Ronquillo , Tara Javidi

We introduce a novel class of rotation invariants of two dimensional curves based on iterated integrals. The invariants we present are in some sense complete and we describe an algorithm to calculate them, giving explicit computations up to…

Computer Vision and Pattern Recognition · Computer Science 2013-05-30 Joscha Diehl

The traveling waves for surface diffusion of plane curves are studied. We consider an evolving plane curve with two endpoints, which can move freely on the x-axis with generating constant contact angles. For the evolution of this plane…

Analysis of PDEs · Mathematics 2019-08-26 Takashi Kagaya , Yoshihito Kohsaka