Bounding the Rate Region of Vector Gaussian Multiple Descriptions with Individual and Central Receivers
2010 (English)In: Data Compression Conference Proceedings, 2010, 13-19 p.Conference paper (Refereed)
In this work, we study the rate region of the vector Gaussian multipledescription problem with individual and central quadratic distortion con-straints. In particular, we derive an outer bound to the rate region of theL-description problem. The bound is obtained by lower bounding a weightedsum rate for each supporting hyperplane of the rate region. The key ideais to introduce at most L-1 auxiliary random variables and further imposeupon the variables a Markov structure according to the ordering of the de-scription weights. This makes it possible to greatly simplify the derivationof the outer bound. In the scalar Gaussian case, the complete rate regionis fully characterized by showing that the outer bound is tight. In this case,the optimal weighted sum rate for each supporting hyperplane is obtained bysolving a single maximization problem. This contrasts with existing results,which require solving a min-max optimization problem.
Place, publisher, year, edition, pages
2010. 13-19 p.
IdentifiersURN: urn:nbn:se:kth:diva-24221DOI: 10.1109/DCC.2010.9ScopusID: 2-s2.0-77952716951OAI: oai:DiVA.org:kth-24221DiVA: diva2:345505
Data Compression Conference, DCC 2010; Snowbird, UT; 24 March 2010 through 26 March 2010