### Abstract

Four types of information capacity of general noisy channels with arbitrary input signal costs are considered and theorems on their asymptotic equality are proved, both for unconstrained and constrained inputs. The considered capacities are relevant to transmission of fixed and variable costs, respectively. In particular, for the transmission length cost assignment, the results amount to a general proof of the intuitive statement that the capacity bound for the length of reliable transmission is valid asymptotically also for the average length of variable length transmission. Examples with memoryless channels are given, including channels with feedback.

Original language | English |
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Title of host publication | Probl Control Inf Theory |

Pages | 283-304 |

Number of pages | 22 |

Volume | 2 |

Edition | 3-4 |

Publication status | Published - 1973 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Probl Control Inf Theory*(3-4 ed., Vol. 2, pp. 283-304)

**ON THE CAPACITY OF NOISY CHANNELS WITH ARBITRARY SIGNAL COSTS.** / Csiszár, I.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Probl Control Inf Theory.*3-4 edn, vol. 2, pp. 283-304.

}

TY - CHAP

T1 - ON THE CAPACITY OF NOISY CHANNELS WITH ARBITRARY SIGNAL COSTS.

AU - Csiszár, I.

PY - 1973

Y1 - 1973

N2 - Four types of information capacity of general noisy channels with arbitrary input signal costs are considered and theorems on their asymptotic equality are proved, both for unconstrained and constrained inputs. The considered capacities are relevant to transmission of fixed and variable costs, respectively. In particular, for the transmission length cost assignment, the results amount to a general proof of the intuitive statement that the capacity bound for the length of reliable transmission is valid asymptotically also for the average length of variable length transmission. Examples with memoryless channels are given, including channels with feedback.

AB - Four types of information capacity of general noisy channels with arbitrary input signal costs are considered and theorems on their asymptotic equality are proved, both for unconstrained and constrained inputs. The considered capacities are relevant to transmission of fixed and variable costs, respectively. In particular, for the transmission length cost assignment, the results amount to a general proof of the intuitive statement that the capacity bound for the length of reliable transmission is valid asymptotically also for the average length of variable length transmission. Examples with memoryless channels are given, including channels with feedback.

UR - http://www.scopus.com/inward/record.url?scp=0015726813&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0015726813&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0015726813

VL - 2

SP - 283

EP - 304

BT - Probl Control Inf Theory

ER -