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Introduction

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Part of the Lecture Notes in Mathematics book series (LNM,volume 201)

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The problems we shall be discussing, mostly of a mathematical nature, although sometimes belonging to the field of electrical engineering, are part of the theory of communication. In mentioning communication we think of many different things e.g. human speech, telephone conversations, storage devices like magnetic tape units for computers, high frequency radio, space communication links (e.g. telemetry systems in satellites), digital communication with computers etc. The problem concerns information coming from a source and going to a destination called the receiver through a medium we refer to as a channel (telephone, space). If the channel is “noiseless”, i.e. every bit of information going in comes out unchanged, there is no problem but in practice this is not the case. Noise is added to the information and as a result errors are introduced by the channel. For example in telephone conversations there is cross-talk, thermal noise, impulsive switching noise, sometimes lightning causes noise; in radio we have static; magnetic tapes sometimes have the wrong digits after storage etc.

Keywords

  • Magnetic Tape
  • Code Word
  • Average Mutual Information
  • Error Pattern
  • Telephone Conversation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1971 Springer-Verlag Berlin · Heidelberg

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(1971). Introduction. In: Coding Theory. Lecture Notes in Mathematics, vol 201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36657-7_1

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  • DOI: https://doi.org/10.1007/978-3-540-36657-7_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06363-6

  • Online ISBN: 978-3-540-36657-7

  • eBook Packages: Springer Book Archive