## Abstract

By considering a sequence of discrete i.i.d random variables x_{1},...,x_{n} and a distortion measure d(x,x) on the estimate x of x, two sequences of the x={x_{1},...,x_{n}} are obtained. From the two descriptions, three estimates with E{1/nΣ_{k=1} ^{n}d(x_{k},x_{mk}) }≤Δ_{m}, distortions are obtained. The set (R_{1},R_{2},Δ_{0},Δ_{1},Δ_{2} is found to be achievable only if a probability mass distribution p(x)p(x_{0},x_{1},x_{2}|x) with E1/nΣ_{k=1} ^{n}d(x_{k}x$+$/_{mk}) ≤Δ_{m} exists. In order to ensure that x_{0} has distortion less or equal to Δ_{0}, the excess rate I(x;x$+$/_{0}|x$+$/_{1},x$+$/_{2}) should be added to I(x;x$+$/_{1}) and I(x;x$+$/_{2}).

Original language | English |
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Pages | 1.1.4/1-4 |

State | Published - 1995 |

Event | Proceedings of the 18th Convention of Electrical and Electronics Engineers in Israel - Tel Aviv, Isr Duration: 7 Mar 1995 → 8 Mar 1995 |

### Conference

Conference | Proceedings of the 18th Convention of Electrical and Electronics Engineers in Israel |
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City | Tel Aviv, Isr |

Period | 7/03/95 → 8/03/95 |