### Abstract

The well-known successive refinement scenario is extended to vector sources where individual distortion constraints are posed on every vector component. This extension is then utilized for the derivation of a necessary and sufficient condition for vector successive refinability. For 2-D vector Gaussian and binary symmetric sources, it turns out that successive refinability is not granted everywhere, unlike in the 1-D case for the same sources. Moreover, the behavior of these sources with respect to successive refinability exhibit remarkable similarity.

Original language | English (US) |
---|---|

Title of host publication | 2007 IEEE Information Theory Workshop, ITW 2007, Proceedings |

Pages | 319-324 |

Number of pages | 6 |

DOIs | |

State | Published - 2007 |

Event | 2007 IEEE Information Theory Workshop, ITW 2007 - Lake Tahoe, CA, United States Duration: Sep 2 2007 → Sep 6 2007 |

### Other

Other | 2007 IEEE Information Theory Workshop, ITW 2007 |
---|---|

Country | United States |

City | Lake Tahoe, CA |

Period | 9/2/07 → 9/6/07 |

### Fingerprint

### ASJC Scopus subject areas

- Computational Theory and Mathematics
- Information Systems
- Information Systems and Management

### Cite this

*2007 IEEE Information Theory Workshop, ITW 2007, Proceedings*(pp. 319-324). [4313094] https://doi.org/10.1109/ITW.2007.4313094

**Successive refinement of vector sources under individual distortion criteria.** / Nayak, Jayanth; Tuncel, Ertem; Gunduz, Deniz; Erkip, Elza.

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

*2007 IEEE Information Theory Workshop, ITW 2007, Proceedings.*, 4313094, pp. 319-324, 2007 IEEE Information Theory Workshop, ITW 2007, Lake Tahoe, CA, United States, 9/2/07. https://doi.org/10.1109/ITW.2007.4313094

}

TY - GEN

T1 - Successive refinement of vector sources under individual distortion criteria

AU - Nayak, Jayanth

AU - Tuncel, Ertem

AU - Gunduz, Deniz

AU - Erkip, Elza

PY - 2007

Y1 - 2007

N2 - The well-known successive refinement scenario is extended to vector sources where individual distortion constraints are posed on every vector component. This extension is then utilized for the derivation of a necessary and sufficient condition for vector successive refinability. For 2-D vector Gaussian and binary symmetric sources, it turns out that successive refinability is not granted everywhere, unlike in the 1-D case for the same sources. Moreover, the behavior of these sources with respect to successive refinability exhibit remarkable similarity.

AB - The well-known successive refinement scenario is extended to vector sources where individual distortion constraints are posed on every vector component. This extension is then utilized for the derivation of a necessary and sufficient condition for vector successive refinability. For 2-D vector Gaussian and binary symmetric sources, it turns out that successive refinability is not granted everywhere, unlike in the 1-D case for the same sources. Moreover, the behavior of these sources with respect to successive refinability exhibit remarkable similarity.

UR - http://www.scopus.com/inward/record.url?scp=46749125803&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=46749125803&partnerID=8YFLogxK

U2 - 10.1109/ITW.2007.4313094

DO - 10.1109/ITW.2007.4313094

M3 - Conference contribution

SN - 1424415640

SN - 9781424415649

SP - 319

EP - 324

BT - 2007 IEEE Information Theory Workshop, ITW 2007, Proceedings

ER -