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The knowledge of the exact structure of the optical system PSF enables a high-quality image reconstruction in fluorescence microscopy. Accurate PSF models account for the vector nature of light and the phase and amplitude modifications.…

We introduce and characterize the independent fluctuating two-ray (IFTR) fading model, a class of fading models consisting of two specular components which fluctuate independently, plus a diffuse component modeled as a complex Gaussian…

An inverse nonequispaced fast Fourier transform (iNFFT) is a fast algorithm to compute the Fourier coefficients of a trigonometric polynomial from nonequispaced sampling data. However, various applications such as magnetic resonance imaging…

数值分析 · 数学 2025-06-09 Melanie Kircheis , Daniel Potts

Investigating temporal variability of functional connectivity is an emerging field in connectomics. Entering dynamic functional connectivity by applying sliding window techniques on resting-state fMRI (rs-fMRI) time courses emerged from…

神经元与认知 · 定量生物学 2015-11-04 Markus Goldhacker , Ana Maria Tomé , Mark W. Greenlee , Elmar W. Lang

The paper improves the accuracy of the one-dimensional fractional Fourier transform (FRFT) by leveraging closed Newton-Cotes quadrature rules. Using the weights derived from the Composite Newton-Cotes rules of order QN, we demonstrate that…

数值分析 · 数学 2025-04-15 A. H. Nzokem

The usual fluid equations describing the large-scale evolution of mass density in the universe can be written as local in the density, velocity divergence, and velocity potential fields. As a result, the perturbative expansion in small…

宇宙学与河外天体物理 · 物理学 2016-06-01 Marcel Schmittfull , Zvonimir Vlah , Patrick McDonald

In this paper, random and stochastic processes are defined on fractal curves. Fractal calculus is used to define cumulative distribution function, probability density function, moments, variance and correlation function of stochastic…

综合数学 · 数学 2024-03-18 Alireza Khalili Golmankhaneh , Kerri Welch , Cristina Serpa , Ivanka Stamova

The Phase Response Curve (PRC) is a tool used in neuroscience that measures the phase shift experienced by an oscillator due to a perturbation applied at different phases of the limit cycle. In this paper we present a new approach to PRCs…

动力系统 · 数学 2019-07-24 Alberto Pérez-Cervera , Tere M. Seara , Gemma Huguet

Neural rendering paradigms have recently emerged as powerful tools for radio frequency (RF). However, by entangling RF sources with scene geometry and material properties, existing approaches limit downstream manipulation of scene geometry,…

信号处理 · 电气工程与系统科学 2026-04-09 Fuhai Wang , Zihan Jin , Lehang Wang , Xuehui Dong , Tiebin Mi , Robert Caiming Qiu , Zenan ling

Functional connectivity (FC) refers to the investigation of interactions between brain regions to understand integration of neural activity in several regions. FC is often estimated using functional magnetic resonance images (fMRI). There…

应用统计 · 统计学 2023-01-24 Nathan Tung , Jerome Sanes , Eli Upfal , Ani Eloyan

Multivariate spatial field data are increasingly common and whose modeling typically relies on building cross-covariance functions to describe cross-process relationships. An alternative viewpoint is to model the matrix of spectral…

统计理论 · 数学 2015-05-07 William Kleiber

A fundamental difficulty in all-in-one blind image restoration is that degradation is usually treated as an implicit factor hidden in degraded-to-clean mapping, rather than as an explicit object that can be measured and manipulated. This…

计算机视觉与模式识别 · 计算机科学 2026-05-19 Xinghua Huang , Zhixiong Yang , Chen Wu , Shengxi Li , Shuaifeng Zhi , Yue Zhang , Qibin Hou , Xin Deng , Jingyuan Xia

The realm of classical phase retrieval concerns itself with the arduous task of recovering a signal from its Fourier magnitude measurements, which are fraught with inherent ambiguities. A single-exposure intensity measurement is commonly…

计算机视觉与模式识别 · 计算机科学 2023-11-21 Yixiao Yang , Ran Tao , Kaixuan Wei , Jun Shi

Most of the research related to Non Functional Requirements (NFRs) have presented NFRs frameworks by integrating non functional requirements with functional requirements while we proposed that measurement of NFRs is possible e.g. cost and…

软件工程 · 计算机科学 2009-07-01 Nasir Mahmood Malik , Arif Mushtaq , Samina Khalid , Tehmina Khalil , Faisal Munir Malik

Computation of the spherical harmonic rotation coefficients or elements of Wigner's d-matrix is important in a number of quantum mechanics and mathematical physics applications. Particularly, this is important for the Fast Multipole Methods…

数值分析 · 计算机科学 2014-04-01 Nail A. Gumerov , Ramani Duraiswami

The work fluctuation theorem (FT) is a symmetry connecting the moment generating functions (MGFs) of the work extracted in a given process and in its time-reversed counterpart. We show that, equivalently, the FT for work in isolated quantum…

量子物理 · 物理学 2023-11-29 Vasco Cavina , Sadeq S. Kadijani , Massimiliano Esposito , Thomas Schmidt

We introduce a new compressive power spectrum estimation approach in both frequency and direction of arrival (DOA). Wide-sense stationary signals produced by multiple uncorrelated sources are compressed in both the time and spatial domain…

谱理论 · 数学 2014-04-22 Dyonisius Dony Ariananda , Geert Leus

The graph fractional Fourier transform (GFRFT) for unitary graph Fourier transform (GFT) matrices can be interpreted through the scalar function $e^{j\alpha\theta}$ on the unit circle. Under the principal branch, its Fourier-series…

信号处理 · 电气工程与系统科学 2026-05-19 Ziqi Yan , Mingzhi Wang , Sen Shi , Feiyue Zhao , Manjun Cui , Yangfan He , Zhichao Zhang

While the coherent control of two level quantum systems ---qubits--- is now standard, their continuum electronic equivalents ---flying qubits--- are much less developed. A first step in this direction has been achieved in DC interferometry…

介观与纳米尺度物理 · 物理学 2018-11-21 Benoit Rossignol , Thomas Kloss , Pacome Armagnat , Xavier Waintal

Predicting the forced vibration response of nonlinear mechanical systems with friction is critical for engineering applications. Accurately determining the backbone curve of resonance peaks is pivotal for the design of friction devices.…

经典物理 · 物理学 2026-02-03 Wei Wen , Wenkai Qi , Weidong Wen