# Noise immunity

From Encyclopedia of Mathematics

A notion characterizing the ability of an information-transmitting system to resist to distortion effects of noise. The maximum attainable noise immunity for an optimal transmission method is called the potential noise immunity. In the theory of information transmission the noise immunity of a particular information-transmitting system is characterized by the exactness of reproducibility of information (cf. Information, exactness of reproducibility of) and, in particular, by the probability of erroneous decoding (cf. Erroneous decoding, probability of) a transmitted message.

#### References

[1] | A.A. Kharkevich, "Channels with noise" , Moscow (1965) (In Russian) |

[2] | J.M. Wozencraft, I.M. Jacobs, "Principles of communication engineering" , Wiley (1965) |

#### Comments

#### References

[a1] | A.V. Kotelnikov, "The theory of optimum noise immunity" , McGraw-Hill (1959) (Translated from Russian) |

**How to Cite This Entry:**

Noise immunity. R.L. DobrushinV.V. Prelov (originator),

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Noise_immunity&oldid=15596

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098