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Starting from a dataset with input/output time series generated by multiple deterministic linear dynamical systems, this paper tackles the problem of automatically clustering these time series. We propose an extension to the so-called…

Systems and Control · Computer Science 2018-03-09 Oliver Lauwers , Bart De Moor

A GPS carrier-phase frequency transfer link along a baseline of 450 km has been established and is characterized by comparing it to a phase-stabilized optical fiber link of 920 km length, established between the two endpoints, the…

Radio telescope arrays, such as Square Kilometre Array (SKA) and next-generation Very Large Array (ngVLA), require highly precise synchronization of time-frequency references to ensure high-quality observational data. Fiber-based frequency…

Instrumentation and Methods for Astrophysics · Physics 2025-03-04 Hongfei Dai , Wenlin Li , Zhongwang Pang , Chunyi Li , Dongqi Song , Tong Ww , Bo Wang

Fast Radio Bursts (FRBs) are energetic phenomena that have significant implications for understanding fundamental physics and the universe. Recent observations of FRB 121102, FRB 20220912A, and FRB 20201124A by the Five-hundred-meter…

High Energy Astrophysical Phenomena · Physics 2024-11-07 Yan-Qi Du , Ping Wang , Li-Ming Song , Shao-Lin Xiong

Distributed system applications rely on a fine-grain common sense of time. Existing systems maintain the common sense of time by keeping each independent machine as close as possible to wall-clock time through a combination of software…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Sanjay Lall , Calin Cascaval , Martin Izzard , Tammo Spalink

The telecommunications industry's deployment of billions of kilometers of optical fiber has created a vast global network that can be exploited for additional applications such as environmental sensing, quantum networking and international…

We have developed a means for accurate time transfer using optical fibers and aim at the synchronization of clocks located at different places on an institute campus with an overall uncertainty of 100 ps or better. Such an installation…

Instrumentation and Detectors · Physics 2019-10-25 D. Piester , M. Fujieda , M. Rost , A. Bauch

The problem of real-time processing is one of the most challenging current issues in computer sciences. Because of the large amount of data to be treated in a limited period of time, parallel and distributed systems are required, whose…

Physics and Society · Physics 2007-05-23 Gonzalo Travieso , Luciano da Fontoura Costa

Understanding and developing a correlation measure that can detect general dependencies is not only imperative to statistics and machine learning, but also crucial to general scientific discovery in the big data age. In this paper, we…

Machine Learning · Statistics 2024-06-27 Cencheng Shen , Carey E. Priebe , Joshua T. Vogelstein

There exist several methods developed for the canonical change point problem of detecting multiple mean shifts, which search for changes over sections of the data at multiple scales. In such methods, estimation of the noise level is often…

Methodology · Statistics 2022-11-07 Euan T. McGonigle , Haeran Cho

Mining time-frequency features is critical for time series forecasting. Existing research has predominantly focused on modeling low-frequency patterns, where most time series energy is concentrated. The overlooking of mid to high frequency…

Machine Learning · Computer Science 2026-03-11 Boya Zhang , Shuaijie Yin , Huiwen Zhu , Xing He

Precise clock synchronization is an important requirement for distributed and networked industrial use cases. As more and more use cases contain mobile devices, clock synchronization has to be performed over wireless communication links. As…

Networking and Internet Architecture · Computer Science 2024-10-14 M. Gundall , H. D. Schotten

Optical fiber links have demonstrated their ability to transfer the ultra-stable clock signals. In this paper we propose and demonstrate a new scheme to transfer both time and radio frequency with the same wavelength based on coherent…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Jialiang Wang , Chaolei Yue , Yueli Xi , Yanguang Sun , Nan Cheng , Fei Yang , Mingyu Jiang , Jianfeng Sun , Youzhen Gui , Haiwen Cai

Wireless time synchronization of mobile devices is a key enabler for numerous Industry 4.0 applications, such as coordinated and synchronized tasks or the generation of high-precision timestamps for machine learning or artificial…

Networking and Internet Architecture · Computer Science 2025-11-19 Michael Gundall , Jan Herbst , Robin Müller , Hans D. Schotten

We present the results obtained by applying, in real-time, a correction method to precisely synchronize a time base generated from a free-running atomic clock with the Coordinated Universal Time (UTC). The method uses the Global Navigation…

Atomic Physics · Physics 2026-03-20 Claire Dalmazzone , Mathieu Guigue , Boris Popov , Stefano Russo , Vincent Voisin

Recently, time scales calculus is developed to unify continuous and discrete analysis. By extending the definition of time scales properly, this paper introduces the concept of a signal set as well as its stability properties in terms of…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Ti-Chung Lee , Ying Tan , Iven Mareels

Clock synchronization has become a key design objective in wireless networks for its essential importance in many applications. However, as the wireless link is prone to random network delays due to unreliable channel conditions, it is in…

Signal Processing · Electrical Eng. & Systems 2020-02-06 Osama Elnahas , Zhi Quan

A new approach is presented to describe the change in the statistics of the log return distribution of financial data as a function of the timescale. To this purpose a measure is introduced, which quantifies the distance of a considered…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Andreas P. Nawroth , Joachim Peinke

Hitting times provide a fundamental measure of distance in random processes, quantifying the expected number of steps for a random walk starting at node $u$ to reach node $v$. They have broad applications across domains such as network…

Data Structures and Algorithms · Computer Science 2025-11-07 Themistoklis Haris , Fabian Spaeh , Spyros Dragazis , Charalampos Tsourakakis

The generation of a streaking spectrogram is based on energy absorption from the streaking laser. Investigating this absorption we show rigorously under which condition the measured time shift is independent of properties of the streaking…

Atomic Physics · Physics 2020-09-16 Ulf Saalmann , Jan M Rost