### Abstract

A novel binary finite-state channel model for the M-ary Symmetric Erasure Channel (MSEC) is developed. The finite-state model provides an interesting method of viewing the correlation between binary errors and erasures on the MSEC. Under the assumption of full channel state information, the capacity and cutoff rate of the finite-state model are calculated. These values exceed the capacity and cutoff rate for M-ary signaling on the MSEC. Under the more realistic assumption of no state information, the capacity and cutoff rate of the finite-state channel are also calculated for a correlated bank of binary decoders. These values are either equal to or greater than the corresponding quantities for M-ary signaling on the MSEC. These results indicate that binary coding methods utilizing the finite-state model have potential superiority over standard M-ary coding schemes.

Original language | English |
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Title of host publication | Unknown Host Publication Title |

Place of Publication | Princeton, NJ, USA |

Publisher | Princeton Univ |

Pages | 401-408 |

Number of pages | 8 |

State | Published - Dec 1 1986 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Unknown Host Publication Title*(pp. 401-408). Princeton Univ.