Name
Abstract | ||
|---|---|---|
This paper studies fixed-rate randomized vector quantization under the constraint that the quantizer's output has a given fixed probability distribution. A general representation of randomized quantizers that includes the common models in the literature is introduced via appropriate mixtures of joint probability measures on the product of the source and reproduction alphabets. Using this representation and results from optimal transport theory, the existence of an optimal (minimum distortion) randomized quantizer having a given output distribution is shown under various conditions. For sources with densities and the mean square distortion measure, it is shown that this optimum can be attained by randomizing quantizers having convex codecells. For stationary and memoryless source and output distributions a rate-distortion theorem is proved, providing a single-letter expression for the optimum distortion in the limit of large block-lengths. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/TIT.2014.2373382 | IEEE Transactions on Information Theory |
Keywords | DocType | Volume |
memoryless systems,random codes,rate distortion theory,source coding,statistical distributions,vector quantisation,constrained output distribution,convex codecells,fixed-rate random vector quantization,mean square distortion measurement,memoryless source,optimal transport theory,probability distribution,rate distortion theorem,reproduction alphabet,source coding,Source coding,output-constrained distortion-rate function,quantization,random coding,randomization | Journal | 61 |
Issue | ISSN | Citations |
1 | 0018-9448 | 1 |
PageRank | References | Authors |
0.36 | 13 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Naci Saldi | 1 | 29 | 10.27 |
| Tamás Linder | 2 | 617 | 68.20 |
| Serdar Yüksel | 3 | 457 | 53.31 |