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Traditional resolvent analysis is a powerful framework for identifying the most amplified input-output structures in fluid flows from a stationary base state. Extending this resolvent analysis to periodic base flows poses computational…

动力系统 · 数学 2026-03-18 Max Howell , Sicheng He

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

信号处理 · 电气工程与系统科学 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

The line spectral estimation problem consists in recovering the frequencies of a complex valued time signal that is assumed to be sparse in the spectral domain from its discrete observations. Unlike the gridding required by the classical…

信息论 · 计算机科学 2021-10-18 Maxime Ferreira Da Costa , Wei Dai

Integrated sensing and communication (ISAC) has emerged as a transformative paradigm, enabling situationally aware and perceptive next-generation wireless networks through the co-design of shared network resources. With the adoption of…

信号处理 · 电气工程与系统科学 2025-05-20 Ahmed Hussain , Asmaa Abdallah , Abdulkadir Celik , Ahmed M. Eltawil

A technique for timescale analysis of spectral lags performed directly in the time domain is developed. Simulation studies are made to compare the time domain technique with the Fourier frequency analysis for spectral time lags. The time…

天体物理学 · 物理学 2014-10-13 T. P. Li , J. L. Qu , H. Feng , L. M. Song , G. Q. Ding , L. Chen

We generalize the temporally encoded spectral shifting (TESS) analysis for measuring plasma wakefields using spectral interferometry to dissimilar probe pulses of arbitrary spectral profile and to measuring nonlinear wakefields. We…

加速器物理 · 物理学 2018-10-16 C. Arran , N. H. Matlis , R. Walczak , S. M. Hooker

This paper presents a preliminary analysis of the ability of Chronos foundation model to process and internally represent frequency domain information. Foundation models that process time-series data offer practitioners a unified…

In the framework of the signal processing approach to single-atom resonance fluorescence with spectral resolution, we diagrammatically derive an analytical formula for arbitrary-order spectral correlation functions of the scattered fields…

量子物理 · 物理学 2016-09-21 Vyacheslav N. Shatokhin , Sergei Ya. Kilin

We give a detailed description of a novel method for time-resolved experiments on single non-luminescent nanoparticles. The method is based on the combination of pump-probe spectroscopy and a common-path interferometer. In our…

光学 · 物理学 2009-11-13 Meindert A. van Dijk , Markus Lippitz , Daniel Stolwijk , Michel Orrit

A simple scheme for all-optical time interpolation using spectral interferometry is put forward that is in principle capable of single-shot measurements. In this method, the arrival time of optical timing pulses is encoded into the spectrum…

光学 · 物理学 2022-04-21 Thomas Fordell

In this article, we demonstrate a scheme capable of two-phase measurement, i.e. the simultaneous measurement of the two phase-shifts occurring in two independent Mach-Zehnder interferometers using one intensity detector. Our scheme utilizes…

光学 · 物理学 2015-06-03 Utsab Khadka , Jiteng Sheng , Xihua Yang , Min Xiao

We present an approach for improving spatial frequency sampling in active incoherent millimeter-wave (AIM) imaging systems using frequency diversity. AIM imaging relies on active transmission of spatio-temporally incoherent signals to…

信号处理 · 电气工程与系统科学 2025-03-12 Jorge R. Colon-Berrios , Jeffrey A. Nanzer

Accurate predictions of inclusive scattering cross sections in the linear response regime require efficient and controllable methods to calculate the spectral density in a strongly-correlated many-body system. In this work we reformulate…

量子物理 · 物理学 2023-03-29 Jeremy Hartse , Alessandro Roggero

Time-frequency representations such as the spectrogram are commonly used to analyze signals having a time-varying distribution of spectral energy, but the spectrogram is constrained by an unfortunate tradeoff between resolution in time and…

声音 · 计算机科学 2009-03-19 Kelly R. Fitz , Sean A. Fulop

In the last years several estimation strategies have been formulated to determine the value of an unknown parameter in the most precise way, taking into account the presence of noise. These strategies typically rely on the use of quantum…

量子物理 · 物理学 2021-08-31 Andrea Smirne , Andreas Lemmer , Martin B. Plenio , Susana F. Huelga

This paper presents a novel approach for estimating the modes of an observed non-stationary mixture signal. A link is first established between the short-time Fourier transform and the sparse sampling theory, where the observations are…

数值分析 · 数学 2022-12-23 Quentin Legros , Dominique Fourer

The properties of the Gabor and Morlet transforms are examined with respect to the Fourier analysis of discretely sampled data. Forward and inverse transform pairs based on a fixed window with uniform sampling of the frequency axis can…

数据分析、统计与概率 · 物理学 2013-07-23 Robert W. Johnson

Fast Fourier transform algorithms are an arsenal of effective tools for solving various problems of analysis and high-speed processing of signals of various natures. Almost all of these algorithms are designed to process sequences of…

数据结构与算法 · 计算机科学 2025-04-11 Aleksandr Cariow

Reconstructing continuous signals from a small number of discrete samples is a fundamental problem across science and engineering. In practice, we are often interested in signals with 'simple' Fourier structure, such as bandlimited,…

数据结构与算法 · 计算机科学 2018-12-24 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

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