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9096 results in Communications, Signal Processing and Information Theory

Page 58 of 455

  • 8 - Heterogeneous Networks and IEEE 1905

  • from Part III - Management, Security, and Further Applications
  • Christina Vlachou, Sébastien Henri
  • Book:
    A Practical Guide to Power Line Communications
    Published online:
    05 May 2022
    Print publication:
    19 May 2022, pp 221-238

  • Summary

    The IEEE 1905.1 standard aims at making interoperability between different technologies (Wi-Fi, PLC, MoCA) easier and more flexible. By introducing an abstraction layer between the MAC and IP layers (layer 2.5) and a common interface, it enables a device to seamlessly use or alternate between two or more technologies, depending on the network conditions. Its goal is also to make the management of heterogeneous networks simpler, by providing end-to-end QoS, autoconfiguration, common secured authentication and setup methods.

    In this chapter, we present different standardized solutions for heterogeneous net- works. We describe in particular the IEEE 1905.1 standard. We also present algorithms that can be used in heterogeneous networks to improve performance.

The Fundamentals of Heavy Tails
  • Properties, Emergence, and Estimation
  • Jayakrishnan Nair, Adam Wierman, Bert Zwart
  • Published online:
    17 May 2022
    Print publication:
    09 June 2022
  • Heavy tails –extreme events or values more common than expected –emerge everywhere: the economy, natural events, and social and information networks are just a few examples. Yet after decades of progress, they are still treated as mysterious, surprising, and even controversial, primarily because the necessary mathematical models and statistical methods are not widely known. This book, for the first time, provides a rigorous introduction to heavy-tailed distributions accessible to anyone who knows elementary probability. It tackles and tames the zoo of terminology for models and properties, demystifying topics such as the generalized central limit theorem and regular variation. It tracks the natural emergence of heavy-tailed distributions from a wide variety of general processes, building intuition. And it reveals the controversy surrounding heavy tails to be the result of flawed statistics, then equips readers to identify and estimate with confidence. Over 100 exercises complete this engaging package.

Introduction to Graph Signal Processing
  • Antonio Ortega
  • Published online:
    09 May 2022
    Print publication:
    09 June 2022
  • An intuitive and accessible text explaining the fundamentals and applications of graph signal processing. Requiring only an elementary understanding of linear algebra, it covers both basic and advanced topics, including node domain processing, graph signal frequency, sampling, and graph signal representations, as well as how to choose a graph. Understand the basic insights behind key concepts and learn how graphs can be associated to a range of specific applications across physical, biological and social networks, distributed sensor networks, image and video processing, and machine learning. With numerous exercises and Matlab examples to help put knowledge into practice, and a solutions manual available online for instructors, this unique text is essential reading for graduate and senior undergraduate students taking courses on graph signal processing, signal processing, information processing, and data analysis, as well as researchers and industry professionals.

A Practical Guide to Power Line Communications
  • Christina Vlachou, Sébastien Henri
  • Published online:
    05 May 2022
    Print publication:
    19 May 2022
  • This excellent resource synthesizes the theory and practice of PLC, providing a straightforward introduction to the fundamentals of PLC, as well as an exhaustive review of the performance, evaluation, security, and heterogeneous network that combine PLC with other means of communications. It advances the groundwork on power-line communication (PLC), a tool which has the potential to boost the performance of local networks, and provides useful worked practical problems on, for example, PLC protocol optimization. Covering the PHY and MAC layers of the most popular PLC specifications, including tutorials and experimental frameworks, and featuring many examples of real-world applications and performance, it is ideal for university researchers and professional engineers designing and maintaining PLC or hybrid devices and networks.

  • 8 - The Discrete, Classical, Phase Retrieval Problem

  • from Part II - Analysis of Algorithms for Phase Retrieval
  • Alexander H. Barnett, Charles L. Epstein, Leslie Greengard, Jeremy Magland
  • Book:
    Geometry of the Phase Retrieval Problem
    Published online:
    21 April 2022
    Print publication:
    05 May 2022, pp 147-190

  • Summary

    The goal of this chapter is to examine the behavior of algorithms defined by hybrid iterative maps in the phase retrieval problem, per se. We begin by considering these maps in a variety of simple geometric situations, which demonstrate both the range of behaviors for iterates of these maps, and also how they are related to the local geometry near to the point of intersection. When these maps converge, they converge to points on a set called the center manifold. After consideration of the model problems, we turn to an analysis of the linearization of a hybrid map near to points on the center manifold. In a numerical study, we show that, even at an attractive fixed point, the linearized map may fail to be a contraction. Its eigenvalues are complex numbers with modulus less than one, but the basis of eigenvectors is very far from orthogonal. The chapter concludes with extensive numerical experiments exploring the complexities of hybrid iterative maps in realistic phase retrieval problems utilizing the support constraint.

Page 58 of 455