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2 results

  • 24 - Rate-Distortion Theory

  • from Part V - Rate-Distortion Theory and Metric Entropy
  • Yury Polyanskiy, Massachusetts Institute of Technology, Yihong Wu, Yale University, Connecticut
  • Book:
    Information Theory
    Published online:
    09 January 2025
    Print publication:
    02 January 2025, pp 489-501

  • Summary

    The operation of mapping (naturally occurring) continuous time/analog signals into (electronics-friendly) discrete/digital signals is known as quantization, which is an important subject in signal processing in its own right. In information theory, the study of optimal quantization is called rate-distortion theory, introduced by Shannon in 1959. To start, in Chapter 24 we will take a closer look at quantization, followed by the information-theoretic formulation. A simple (and tight) converse bound is then given, with the matching achievability bound deferred to Chapter 25.