Overview of Time Synchronization for Iot Deployments: Clock Discipline Algorithms and Protocols
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Time-Synchronized Data Collection in Smart Grids Through Ipv6 Over
Time-synchronized Data Collection in Smart Grids through IPv6 over BLE Stanley Nwabuona Markus Schuss Simon Mayer Pro2Future GmbH Graz University of Technology Pro2Future GmbH and Graz Graz, Austria Graz, Austria University of Technology [email protected] [email protected] Graz, Austria [email protected] Konrad Diwold Lukas Krammer Alfred Einfalt Siemens Corporate Siemens Corporate Siemens Corporate Technology Technology Technology Vienna, Austria Vienna, Austria Vienna, Austria [email protected] [email protected] [email protected] ABSTRACT INTRODUCTION For the operation of electrical distribution system an increased Due to the progressing integration of distributed energy re- shift towards smart grid operation can be observed. This shift sources (such as domestic photovoltaics) into the distribution provides operators with a high level of reliability and efficiency grid [5], conventional – mostly passive – monitoring and con- when dealing with highly dynamic distribution grids. Techni- trol schemes of power systems are no longer applicable. This cally, this implies that the support for a bidirectional flow of is because these are not designed to handle and manage the data is critical to realizing smart grid operation, culminating in volatile and dynamic behavior stemming from these new active the demand for equipping grid entities (such as sensors) with grid entities. Therefore, advanced controlling and monitoring communication and processing capabilities. Unfortunately, schemes are required for distribution grid operation (i.e., in- the retrofitting of brown-field electric substations in distribu- cluding in Low-Voltage (LV) grids) to avoid system overload tion grids with these capabilities is not straightforward – this which could incur permanent damages. -
The Distribution of Local Times of a Brownian Bridge
The distribution of lo cal times of a Brownian bridge by Jim Pitman Technical Rep ort No. 539 Department of Statistics University of California 367 Evans Hall 3860 Berkeley, CA 94720-3860 Nov. 3, 1998 1 The distribution of lo cal times of a Brownian bridge Jim Pitman Department of Statistics, University of California, 367 Evans Hall 3860, Berkeley, CA 94720-3860, USA [email protected] 1 Intro duction x Let L ;t 0;x 2 R denote the jointly continuous pro cess of lo cal times of a standard t one-dimensional Brownian motion B ;t 0 started at B = 0, as determined bythe t 0 o ccupation density formula [19 ] Z Z t 1 x dx f B ds = f xL s t 0 1 for all non-negative Borel functions f . Boro din [7, p. 6] used the metho d of Feynman- x Kac to obtain the following description of the joint distribution of L and B for arbitrary 1 1 xed x 2 R: for y>0 and b 2 R 1 1 2 x jxj+jbxj+y 2 p P L 2 dy ; B 2 db= jxj + jb xj + y e dy db: 1 1 1 2 This formula, and features of the lo cal time pro cess of a Brownian bridge describ ed in the rest of this intro duction, are also implicitinRay's description of the jointlawof x ;x 2 RandB for T an exp onentially distributed random time indep endentofthe L T T Brownian motion [18, 22 , 6 ]. See [14, 17 ] for various characterizations of the lo cal time pro cesses of Brownian bridge and Brownian excursion, and further references. -
Ieee 802.1 for Homenet
IEEE802.org/1 IEEE 802.1 FOR HOMENET March 14, 2013 IEEE 802.1 for Homenet 2 Authors IEEE 802.1 for Homenet 3 IEEE 802.1 Task Groups • Interworking (IWK, Stephen Haddock) • Internetworking among 802 LANs, MANs and other wide area networks • Time Sensitive Networks (TSN, Michael David Johas Teener) • Formerly called Audio Video Bridging (AVB) Task Group • Time-synchronized low latency streaming services through IEEE 802 networks • Data Center Bridging (DCB, Pat Thaler) • Enhancements to existing 802.1 bridge specifications to satisfy the requirements of protocols and applications in the data center, e.g. • Security (Mick Seaman) • Maintenance (Glenn Parsons) IEEE 802.1 for Homenet 4 Basic Principles • MAC addresses are “identifier” addresses, not “location” addresses • This is a major Layer 2 value, not a defect! • Bridge forwarding is based on • Destination MAC • VLAN ID (VID) • Frame filtering for only forwarding to proper outbound ports(s) • Frame is forwarded to every port (except for reception port) within the frame's VLAN if it is not known where to send it • Filter (unnecessary) ports if it is known where to send the frame (e.g. frame is only forwarded towards the destination) • Quality of Service (QoS) is implemented after the forwarding decision based on • Priority • Drop Eligibility • Time IEEE 802.1 for Homenet 5 Data Plane Today • 802.1Q today is 802.Q-2011 (Revision 2013 is ongoing) • Note that if the year is not given in the name of the standard, then it refers to the latest revision, e.g. today 802.1Q = 802.1Q-2011 and 802.1D -
Implementing an IEEE 1588 V2 on I.MX RT Using Ptpd, Freertos, and Lwip TCP/IP Stack
NXP Semiconductors Document Number: AN12149 Application Note Rev. 1 , 09/2018 Implementing an IEEE 1588 V2 on i.MX RT Using PTPd, FreeRTOS, and lwIP TCP/IP stack 1. Introduction Contents This application note describes the implementation of 1. Introduction .........................................................................1 the IEEE 1588 V2 Precision Time Protocol (PTP) on 2. IEEE 1588 basic overview ..................................................2 2.1. Synchronization principle ........................................ 3 the i.MX RT MCUs running FreeRTOS OS. The IEEE 2.2. Timestamping ........................................................... 5 1588 standard provides accurate clock synchronization 3. IEEE 1588 functions on i.MX RT .......................................6 for distributed control nodes in industrial automation 3.1. Adjustable timer module .......................................... 6 3.2. Transmit timestamping ............................................. 8 applications. 3.3. Receive timestamping .............................................. 8 3.4. Time synchronization ............................................... 8 The implementation runs on the i.MX RT10xx 3.5. Input capture and output compare block .................. 8 Evaluation Kit (EVK) board with i.MX RT10xx MCUs. 4. IEEE 1588 implementation for i.MX RT ............................9 The demo software is based on the NXP MCUXpresso 4.1. Hardware components .............................................. 9 4.2. Software components ............................................ -
Probabilistic and Geometric Methods in Last Passage Percolation
Probabilistic and geometric methods in last passage percolation by Milind Hegde A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Mathematics in the Graduate Division of the University of California, Berkeley Committee in charge: Professor Alan Hammond, Co‐chair Professor Shirshendu Ganguly, Co‐chair Professor Fraydoun Rezakhanlou Professor Alistair Sinclair Spring 2021 Probabilistic and geometric methods in last passage percolation Copyright 2021 by Milind Hegde 1 Abstract Probabilistic and geometric methods in last passage percolation by Milind Hegde Doctor of Philosophy in Mathematics University of California, Berkeley Professor Alan Hammond, Co‐chair Professor Shirshendu Ganguly, Co‐chair Last passage percolation (LPP) refers to a broad class of models thought to lie within the Kardar‐ Parisi‐Zhang universality class of one‐dimensional stochastic growth models. In LPP models, there is a planar random noise environment through which directed paths travel; paths are as‐ signed a weight based on their journey through the environment, usually by, in some sense, integrating the noise over the path. For given points y and x, the weight from y to x is defined by maximizing the weight over all paths from y to x. A path which achieves the maximum weight is called a geodesic. A few last passage percolation models are exactly solvable, i.e., possess what is called integrable structure. This gives rise to valuable information, such as explicit probabilistic resampling prop‐ erties, distributional convergence information, or one point tail bounds of the weight profile as the starting point y is fixed and the ending point x varies. -
Derivatives of Self-Intersection Local Times
Derivatives of self-intersection local times Jay Rosen? Department of Mathematics College of Staten Island, CUNY Staten Island, NY 10314 e-mail: [email protected] Summary. We show that the renormalized self-intersection local time γt(x) for both the Brownian motion and symmetric stable process in R1 is differentiable in 0 the spatial variable and that γt(0) can be characterized as the continuous process of zero quadratic variation in the decomposition of a natural Dirichlet process. This Dirichlet process is the potential of a random Schwartz distribution. Analogous results for fractional derivatives of self-intersection local times in R1 and R2 are also discussed. 1 Introduction In their study of the intrinsic Brownian local time sheet and stochastic area integrals for Brownian motion, [14, 15, 16], Rogers and Walsh were led to analyze the functional Z t A(t, Bt) = 1[0,∞)(Bt − Bs) ds (1) 0 where Bt is a 1-dimensional Brownian motion. They showed that A(t, Bt) is not a semimartingale, and in fact showed that Z t Bs A(t, Bt) − Ls dBs (2) 0 x has finite non-zero 4/3-variation. Here Ls is the local time at x, which is x R s formally Ls = 0 δ(Br − x) dr, where δ(x) is Dirac’s ‘δ-function’. A formal d d2 0 application of Ito’s lemma, using dx 1[0,∞)(x) = δ(x) and dx2 1[0,∞)(x) = δ (x), yields Z t 1 Z t Z s Bs 0 A(t, Bt) − Ls dBs = t + δ (Bs − Br) dr ds (3) 0 2 0 0 ? This research was supported, in part, by grants from the National Science Foun- dation and PSC-CUNY. -
An Excursion Approach to Ray-Knight Theorems for Perturbed Brownian Motion
stochastic processes and their applications ELSEVIER Stochastic Processes and their Applications 63 (1996) 67 74 An excursion approach to Ray-Knight theorems for perturbed Brownian motion Mihael Perman* L"nil,ersi O, q/ (~mt)ridge, Statistical Laboratory. 16 Mill Lane. Cambridge CB2 15B. ~ 'h" Received April 1995: levised November 1995 Abstract Perturbed Brownian motion in this paper is defined as X, = IB, I - p/~ where B is standard Brownian motion, (/t: t >~ 0) is its local time at 0 and H is a positive constant. Carmona et al. (1994) have extended the classical second Ray --Knight theorem about the local time processes in the space variable taken at an inverse local time to perturbed Brownian motion with the resulting Bessel square processes having dimensions depending on H. In this paper a proof based on splitting the path of perturbed Brownian motion at its minimum is presented. The derivation relies mostly on excursion theory arguments. K<rwordx: Excursion theory; Local times: Perturbed Brownian motion; Ray Knight theorems: Path transfl)rmations 1. Introduction The classical Ray-Knight theorems assert that the local time of Brownian motion as a process in the space variable taken at appropriate stopping time can be shown to be a Bessel square process of a certain dimension. There are many proofs of these theorems of which perhaps the ones based on excursion theory are the simplest ones. There is a substantial literature on Ray Knight theorems and their generalisations; see McKean (1975) or Walsh (1978) for a survey. Carmona et al. (1994) have extended the second Ray Knight theorem to perturbed BM which is defined as X, = IB, I - Iz/, where B is standard BM (/,: I ~> 0) is its local time at 0 and tl is an arbitrary positive constant. -
Smartmesh IP Network and Iot System
St. Cloud State University theRepository at St. Cloud State Department of Electrical and Computer Culminating Projects in Electrical Engineering Engineering 5-2021 SmartMesh IP Network and IoT System Marc Aurel Kamsu Tennou Follow this and additional works at: https://repository.stcloudstate.edu/ece_etds Part of the Electrical and Computer Engineering Commons Recommended Citation Kamsu Tennou, Marc Aurel, "SmartMesh IP Network and IoT System" (2021). Culminating Projects in Electrical Engineering. 7. https://repository.stcloudstate.edu/ece_etds/7 This Thesis is brought to you for free and open access by the Department of Electrical and Computer Engineering at theRepository at St. Cloud State. It has been accepted for inclusion in Culminating Projects in Electrical Engineering by an authorized administrator of theRepository at St. Cloud State. For more information, please contact [email protected]. SmartMesh IP Network and IoT System by Marc Kamsu A Thesis Submitted to the Graduate Faculty of Saint Cloud State University in Partial Fulfillment of the Requirements for the Degree of Master of Science In Electrical Engineering May 2021 Thesis Committee: Yi Zheng, Chairperson Aiping Yao Timothy Vogt 2 Abstract In recent years, a great deal of research conducted in a variety of scientific areas, including physics, microelectronics, and material sc ience, by scientific experts from different domains of expertise has resulted in the invention of Micro-Electro-Mechanical Systems (MEMS). As MEMS became very popular and widely used, the need for combining the capabilities of sensing, actuation, processing, and communication also grew, and led to further research which would result in the design and implementation of devices which could reflect all those four capabilities. -
Stochastic Analysis in Continuous Time
Stochastic Analysis in Continuous Time Stochastic basis with the usual assumptions: F = (Ω; F; fFtgt≥0; P), where Ω is the probability space (a set of elementary outcomes !); F is the sigma-algebra of events (sub-sets of Ω that can be measured by P); fFtgt≥0 is the filtration: Ft is the sigma-algebra of events that happened by time t so that Fs ⊆ Ft for s < t; P is probability: finite non-negative countably additive measure on the (Ω; F) normalized to one (P(Ω) = 1). The usual assumptions are about the filtration: F0 is P-complete, that is, if A 2 F0 and P(A) = 0; then every sub-set of A is in F0 [this fF g minimises the technicalT difficulties related to null sets and is not hard to achieve]; and t t≥0 is right-continuous, that is, Ft = Ft+", t ≥ 0 [this simplifies some further technical developments, like stopping time vs. optional ">0 time and might be hard to achieve, but is assumed nonetheless.1] Stopping time τ on F is a random variable with values in [0; +1] and such that, for every t ≥ 0, the setTf! : 2 τ(!) ≤ tg is in Ft. The sigma algebra Fτ consists of all the events A from F such that, for every t ≥ 0, A f! : τ(!) ≤ tg 2 Ft. In particular, non-random τ = T ≥ 0 is a stopping time and Fτ = FT . For a stopping time τ, intervals such as (0; τ) denote a random set f(!; t) : 0 < t < τ(!)g. A random/stochastic process X = X(t) = X(!; t), t ≥ 0, is a collection of random variables3. -
Synchronous Data Acquisition with Wireless Sensor Networks the Scientifc Series Advances in Automation Engineering Is Edited by Prof
Advances in Automaton Engineering Band 4 Editor: Clemens Gühmann Jürgen Helmut Funck Synchronous data acquisiton with wireless sensor networks Universitätsverlag der TU Berlin Jürgen Helmut Funck Synchronous data acquisition with wireless sensor networks The scientifc series Advances in Automation Engineering is edited by Prof. Dr.-Ing. Clemens Gühmann. Advances in Automation Engineering | 4 Jürgen Helmut Funck Synchronous data acquisition with wireless sensor networks Universitätsverlag der TU Berlin Bibliographic information published by the Deutsche Nationalbibliothek The Deutsche Nationalbibliothek lists this publication in the Deutsche Nationalbibliografe; detailed bibliographic data are available on the Internet at http://dnb.dnb.de. Universitätsverlag der TU Berlin, 2018 http://verlag.tu-berlin.de Fasanenstr. 88, 10623 Berlin Tel.: +49 (0)30 314 76131 / Fax: -76133 E-Mail: [email protected] Zugl.: Berlin, Techn. Univ., Diss., 2017 Gutachter: Prof. Dr.-Ing. Clemens Gühmann Gutachter: Prof. Dr.-Ing. Gerd Scholl Gutachter: Prof. Dr.-Ing. Reinhold Orglmeister Die Arbeit wurde am 12. Oktober 2017 an der Fakultät IV unter Vorsitz von Prof. Dr.-Ing. Olaf Hellwich erfolgreich verteidigt. This work is protected by copyright. Cover image: vickysandoval22 | https://www.fickr.com/photos/115327016@ N06/12603289253/ | CC BY 2.0 https://creativecommons.org/licenses/by/2.0/ Print: docupoint GmbH Layout/Typesetting: Jürgen Helmut Funck ISBN 978-3-7983-2980-5 (print) ISBN 978-3-7983-2981-2 (online) ISSN 2509-8950 (print) ISSN 2509-8969 (online) Published online on the institutional Repository of the Technische Universität Berlin: DOI 10.14279/depositonce-6716 http://dx.doi.org/10.14279/depositonce-6716 Credits This thesis is the result of my time as research assistant at the Chair of Electronic Measurement and Diagnostic Technology at the Technische Universitat¨ Berlin. -
Lecture 12: March 18 12.1 Overview 12.2 Clock Synchronization
CMPSCI 677 Operating Systems Spring 2019 Lecture 12: March 18 Lecturer: Prashant Shenoy Scribe: Jaskaran Singh, Abhiram Eswaran(2018) Announcements: Midterm Exam on Friday Mar 22, Lab 2 will be released today, it is due after the exam. 12.1 Overview The topic of the lecture is \Time ordering and clock synchronization". This lecture covered the following topics. Clock Synchronization : Motivation, Cristians algorithm, Berkeley algorithm, NTP, GPS Logical Clocks : Event Ordering 12.2 Clock Synchronization 12.2.1 The motivation of clock synchronization In centralized systems and applications, it is not necessary to synchronize clocks since all entities use the system clock of one machine for time-keeping and one can determine the order of events take place according to their local timestamps. However, in a distributed system, lack of clock synchronization may cause issues. It is because each machine has its own system clock, and one clock may run faster than the other. Thus, one cannot determine whether event A in one machine occurs before event B in another machine only according to their local timestamps. For example, you modify files and save them on machine A, and use another machine B to compile the files modified. If one wishes to compile files in order and B has a faster clock than A, you may not correctly compile the files because the time of compiling files on B may be later than the time of editing files on A and we have nothing but local timestamps on different machines to go by, thus leading to errors. 12.2.2 How physical clocks and time work 1) Use astronomical metrics (solar day) to tell time: Solar noon is the time that sun is directly overhead. -
Distributed Synchronization
Distributed Synchronization CIS 505: Software Systems Communication between processes in a distributed system can have Lecture Note on Physical Clocks unpredictable delays, processes can fail, messages may be lost Synchronization in distributed systems is harder than in centralized systems because the need for distributed algorithms. Properties of distributed algorithms: 1 The relevant information is scattered among multiple machines. 2 Processes make decisions based only on locally available information. 3 A single point of failure in the system should be avoided. Insup Lee 4 No common clock or other precise global time source exists. Department of Computer and Information Science Challenge: How to design schemes so that multiple systems can University of Pennsylvania coordinate/synchronize to solve problems efficiently? CIS 505, Spring 2007 1 CIS 505, Spring 2007 Physical Clocks 2 The Myth of Simultaneity Event Timelines (Example of previous Slide) time “Event 1 and event 2 at same time” Event 1 Node 1 Event 2 Event 1 Event 2 Node 2 Observer A: Node 3 Event 2 is earlier than Event 1 Observer B: Node 4 Event 2 is simultaneous to Event 1 Observer C: Node 5 Event 1 is earlier than Event 2 e1 || e2 = e1 e2 | e2 e1 Note: The arrows start from an event and end at an observation. The slope of the arrows depend of relative speed of propagation CIS 505, Spring 2007 Physical Clocks 3 CIS 505, Spring 2007 Physical Clocks 4 1 Causality Event Timelines (Example of previous Slide) time Event 1 causes Event 1 Event 2 Node 1 Event 2 Node 2 Observer A: Event 1 before Event 2 Node 3 Observer B: Event 1 before Event 2 Node 4 Observer C: Event 1 before Event 2 Node 5 Note: In the timeline view, event 2 must be caused by some passage of Requirement: We have to establish causality, i.e., each observer must see information from event 1 if it is caused by event 1 event 1 before event 2 CIS 505, Spring 2007 Physical Clocks 5 CIS 505, Spring 2007 Physical Clocks 6 Why need to synchronize clocks? Physical Time foo.o created Some systems really need quite accurate absolute times.