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We demonstrate that extremely rapid and weak periodic and non-periodic signals can easily be detected by using the autocorrelation of intensity as a function of time. We use standard radio-astronomical observations that have artificial…

天体物理仪器与方法 · 物理学 2018-05-16 Ermanno F. Borra , Jonathan D. Romney , Eric Trottier

This paper addresses the problem of extracting periodic oscillatory features in vibration sig- nals for detecting faults in rotating machinery. To extract the feature, we propose an approach in the short-time Fourier transform (STFT) domain…

声音 · 计算机科学 2016-08-24 Yin Ding , Wangpeng He , Binqiang Chen , Yanyang Zi , Ivan W. Selesnick

We study the statistical characteristics of a box-fitting algorithm to analyze stellar photometric time series in the search for periodic transits by extrasolar planets. The algorithm searches for signals characterized by a periodic…

天体物理学 · 物理学 2016-08-30 G. Kovács , S. Zucker , T. Mazeh

We introduce a nonparametric spectral density estimator for continuous-time and continuous-space processes measured at fully irregular locations. Our estimator is constructed using a weighted nonuniform Fourier sum whose weights yield a…

统计方法学 · 统计学 2025-10-07 Christopher J. Geoga , Paul G. Beckman

Fourier transform methods are used to analyze functions and data sets to provide frequencies, amplitudes, and phases of underlying oscillatory components. Fast Fourier transform (FFT) methods offer speed advantages over evaluation of…

数据分析、统计与概率 · 物理学 2015-07-08 Elya Courtney , Michael Courtney

The Lomb-Scargle periodogram is a well-known algorithm for detecting and characterizing periodic signals in unevenly-sampled data. This paper presents a conceptual introduction to the Lomb-Scargle periodogram and important practical…

天体物理仪器与方法 · 物理学 2018-05-23 Jacob T. VanderPlas

Quantitative helio- and asteroseismology require very precise measurements of the frequencies, amplitudes, and lifetimes of the global modes of stellar oscillation. It is common knowledge that the precision of these measurements depends on…

天体物理学 · 物理学 2009-11-13 Thorsten Stahn , Laurent Gizon

Multivariate time series (MTS) anomaly detection commonly encounters in various domains like finance, healthcare, and industrial monitoring. However, existing MTS anomaly detection methods are mostly defined on the static graph structure,…

机器学习 · 计算机科学 2025-09-23 Jia Li , Shiyu Long , Ye Yuan

This paper presents a generic pre-processor for expediting conventional template matching techniques. Instead of locating the best matched patch in the reference image to a query template via exhaustive search, the proposed algorithm rules…

计算机视觉与模式识别 · 计算机科学 2017-07-20 Bolin Liu , Xiao Shu , Xiaolin Wu

We consider the so-called Keplerian periodogram, in which the putative detectable signal is modelled by a highly non-linear Keplerian radial velocity function, appearing in Doppler exoplanetary surveys. We demonstrate that for planets on…

天体物理仪器与方法 · 物理学 2014-10-29 Roman V. Baluev

We study the problem of estimating the best B term Fourier representation for a given frequency-sparse signal (i.e., vector) $\textbf{A}$ of length $N \gg B$. More explicitly, we investigate how to deterministically identify B of the…

离散数学 · 计算机科学 2007-08-10 M. A. Iwen

A heuristic procedure based on novel recursive formulation of sinusoid (RFS) and on regression with predictive least-squares (LS) enables to decompose both uniformly and nonuniformly sampled 1-d signals into a sparse set of sinusoids (SSS).…

信息论 · 计算机科学 2017-04-13 Ivan Maric

This paper addresses the problem of detecting and characterizing local variability in time series and other forms of sequential data. The goal is to identify and characterize statistically significant variations, at the same time…

天体物理仪器与方法 · 物理学 2015-06-05 Jeffrey D. Scargle , Jay P. Norris , Brad Jackson , James Chiang

Very large time series are increasingly available from an ever wider range of IoT-enabled sensors, from which significant insights can be obtained through mining temporal patterns from them. A useful type of patterns found in many…

数据库 · 计算机科学 2023-01-10 Van Long Ho , Nguyen Ho , Torben Bach Pedersen

This paper proposes a new methodology for subspace identification of linear time-periodic (LTP) systems with periodic inputs. This method overcomes the issues related to the computation of frequency response of LTP systems by utilizing the…

系统与控制 · 电气工程与系统科学 2020-11-03 Mingzhou Yin , Andrea Iannelli , Roy S. Smith

We propose a new unsupervised and non-parametric method to detect change points in intricate quasi-periodic signals. The detection relies on optimal transport theory combined with topological analysis and the bootstrap procedure. The…

机器学习 · 计算机科学 2022-11-15 Nikolay Shvetsov , Nazar Buzun , Dmitry V. Dylov

Non-stationary count time series characterized by features such as abrupt changes and fluctuations about the trend arise in many scientific domains including biophysics, ecology, energy, epidemiology, and social science domains. Current…

统计方法学 · 统计学 2023-09-04 Toryn L. J. Schafer , David S. Matteson

In this technical communique, we propose a novel observer-based adaptive scheme to deal with the parameter estimation problem of biased sinusoidal signals. Different from the existing adaptive frequency estimation scheme, the proposed…

动力系统 · 数学 2020-12-29 Shang Shi , Huifang Min , Shihong Ding

High-precision nonlocal temporal correlation identification in the entangled photon pairs is critical to measure the time offset between remote independent time scales for many quantum information applications. The first nonlocal…

量子物理 · 物理学 2021-02-03 Runai Quan , Ruifang Don , Xiao Xiang , Baihong Li , Tao Liu , Shougang Zhang

The Subgraph Isomorphism problem is of considerable importance in computer science. We examine the problem when the pattern graph H is of bounded treewidth, as occurs in a variety of applications. This problem has a well-known algorithm via…

数据结构与算法 · 计算机科学 2021-05-12 Karl Bringmann , Jasper Slusallek