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Fundamentals of Brooks–Iyengar Distributed Sensing Algorithm

Trends, Advances, and Future Prospects

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  • © 2020


  • Provides a comprehensive investigation of Brooks-Iyengar Algorithm and the recently developed methods based on this algorithm
  • Specifies the importance and position of theoretical methods in dealing with real-world problems in the context of distributed sensing
  • Presents basics and mathematical foundations needed to analyze Brooks-Iyengar Algorithm

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About this book

This book provides a comprehensive analysis of Brooks-Iyengar Distributed Sensing Algorithm, which brings together the power of Byzantine Agreement and sensor fusion in building a fault-tolerant distributed sensor network. The authors analyze its long-term impacts, advances, and future prospects. The book starts by discussing the Brooks-Iyengar algorithm, which has made significant impact since its initial publication in 1996. The authors show how the technique has been applied in many domains such as software reliability, distributed systems and OS development, etc. The book exemplifies how the algorithm has enhanced new real-time features by adding fault-tolerant capabilities for many applications. The authors posit that the Brooks-Iyengar Algorithm will to continue to be used where fault-tolerant solutions are needed in redundancy system scenarios.

This book celebrates S.S. Iyengar's accomplishments that led to his 2019 Institute of Electrical and Electronics Engineers' (IEEE) Cybermatics Congress "Test of Time Award" for his work on creating Brooks-Iyengar Algorithm and its impact in advancing modern computing.

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Table of contents (11 chapters)

  1. Introduction

  2. Advances of Sensor Fusion Algorithm

  3. Trends of Brooks–Iyengar Algorithm

  4. Applications of Brooks–Iyengar Algorithm for the Next 10 Years


“The book presents emerging applications and influence of Brooks-Iyengar distributed sensing algorithm. It will help audience to better understand the theory of distributed sensor networks and its applications.” (Prof. Jacek Błażewicz, IEEE Fellow, Director, Institute of Computing Science & Institute of Bioorganic Chemistry, Poznan University of Technology, Poland)

“I highly recommend this book to scientists, researchers, engineers, and practitioners who are interested in distributed sensor networks. This book thoroughly introduces strong theoretical techniques for real-world applications in the context of distributed sensing.” (Prof. Poki Chen, Dean, College of Applied Sciences; Professor, Dept. of Electronic and Computer Engineering; National Taiwan University of Science and Technology)

“This book, Fundamentals of Brooks-Iyengar Distributed Sensing Algorithm, provides a very thorough treatment of the famous Brooks-Iyengar algorithm for distributed sensor networks and related methods. Distributed sensor fusion techniques are very important for many real time critical applications in unstructured environment. This timely book introduces a novel algorithmic computational platform underlying the paradigm of the Brooks-Iyengar algorithmic structure to efficiently solve sensor fusion problems in unpredictable and Byzantine circumstances. Furthermore, performance bounds on the Brooks-Iyengar algorithm have been characterized elegantly by discrete mathematical theory, which provides a foundation for a large number of real time applications.” (Prof. Sartaj Sahni, Distinguished Professor, Computer and Information Sciences and Engineering, University of Florida, USA; IEEE Fellow, ACM Fellow, AAAS Fellow, Minnesota Supercomputer Institute Fellow) 

Authors and Affiliations

  • Department of Computing Science, Poznań University of Technology, Poznań, Poland

    Pawel Sniatala

  • School of Computing and Information Sciences, Florida International University, Miami, USA

    M. Hadi Amini, Kianoosh G. Boroojeni

About the authors

Pawel Sniatala received the M.S. degree in Telecommunication, M.S. degree in Computer Science and Ph.D. degree in Microelectronics all from Poznan University of Technology, Poland. He received the habilitation degree (D.Sc.) in electronics in 2016. From 1998 to 2002 he was with the Department of Computer Engineering at the Rochester Institute of Technology (USA). He returned to Poznan University of Technology to take a position in the Faculty of Computing, where currently, he is the Vice Dean for Industrial Cooperation. He also graduated the international MBA study in join programme George State University and Pozna University of Economics. His area of interests focuses on VLSI circuits for digital and mixed analog-digital signal processing systems: UltraLow Power ASIC design, Implantable IC, Signal/Image processing hardware-software codesign, Hardware accelerators. However, following his computing science background, he is also involved in research projects related to eHealth area. He was involved in several industrial projects e.g.: control and monitoring systems for gas mine systems, control systems for water treatment plant and teletechniques systems for airport. He has served in several international Ph.D. and M.S. committees (Portugal, USA). He was giving invited courses/lectures in several universities outside Poland: USA, Portugal, Peru, Taiwan. He is an author and coauthor of 90 papers including a monograph: P. Sniatala, CMOS Current Mode Modulators, Poznan Monographs in Computing and Its Applications, Poznan 2016.

M. Hadi Amini M. Hadi Amini received his Ph.D. and M.Sc. from Carnegie Mellon University in 2019 and 2015 respectively. He also holds a doctoral degree in Computer Science and Technology. Prior to that, he received M.Sc. from Tarbiat Modares University in 2013, and the B.Sc. from Sharif University of Technology in 2011. He is currently an Assistant Professor at School of Computing and Information Sciences, College of Engineering and Computing at Florida International University (FIU). He is also the founding director of Sustainability, Optimization, and Learning for InterDependent networks laboratory (solid lab). His research interests include distributed machine learning and optimization algorithms, distributed intelligence, sensor networks, interdependent networks, and cyberphysical resilience. Application domains include energy systems, healthcare, device-free human sensing, and transportation networks. 

Prof. Amini is a life member of IEEE-Eta Kappa Nu (IEEE-HKN), the honor society of IEEE. He organized a panel on distributed learning and novel artificial intelligence algorithms, and their application to healthcare, robotics, energy cybersecurity, distributed sensing, and policy issues in 2019 workshop on artificial intelligence at FIU. He also served as President of Carnegie Mellon University Energy Science and Innovation Club; as technical program committee of several IEEE and ACM conferences; and as the lead editor for a book series on ‘‘Sustainable Interdependent Networks’’ since 2017, as well as . He has published more than 60 refereed journal and conference papers, and book chapters. He has co-authored two books, and edited three books on various aspects of optimization and machine learning for interdependent networks. He is the recipient of the best reviewer award from four IEEE Transactions, the best journal paper award in “Journal of Modern Power Systems and Clean Energy”, and the dean’s honorary award from the President of Sharif University of Technology. (homepage:; lab website:

Kianoosh G. Boroojeni received his PhD in computer science from Florida International University. He received his B.Sc degree from University of Tehran in 2012. His research interests include smart grids and cybersecurity. He is the author/co-author of a number of books published by MIT Press and Springer and various peer-reviewed journal publications and conference proceedings. He is currently a faculty at Florida International University.

Bibliographic Information

  • Book Title: Fundamentals of Brooks–Iyengar Distributed Sensing Algorithm

  • Book Subtitle: Trends, Advances, and Future Prospects

  • Authors: Pawel Sniatala, M. Hadi Amini, Kianoosh G. Boroojeni

  • DOI:

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-33131-3Published: 06 February 2020

  • Softcover ISBN: 978-3-030-33134-4Published: 06 February 2021

  • eBook ISBN: 978-3-030-33132-0Published: 05 February 2020

  • Edition Number: 1

  • Number of Pages: XXI, 202

  • Number of Illustrations: 4 b/w illustrations, 42 illustrations in colour

  • Topics: Communications Engineering, Networks, Computational Intelligence, Systems and Data Security, Information Systems Applications (incl. Internet)

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