Vector Quantization with Error Uniformly Distributed over an Arbitrary Set

Autor:	Ling, Chih Wei, Li, Cheuk Ting
Rok vydání:	2023
Předmět:	Computer Science - Information Theory
Druh dokumentu:	Working Paper
Popis:	For uniform scalar quantization, the error distribution is approximately a uniform distribution over an interval (which is also a 1-dimensional ball). Nevertheless, for lattice vector quantization, the error distribution is uniform not over a ball, but over the basic cell of the quantization lattice. In this paper, we construct vector quantizers with periodic properties, where the error is uniformly distributed over the n-ball, or any other prescribed set. We then prove upper and lower bounds on the entropy of the quantized signals. We also discuss how our construction can be applied to give a randomized quantization scheme with a nonuniform error distribution. Comment: 22 pages, 3 figures. Short version presented at 2023 IEEE International Symposium on Information Theory
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.06788 Zobrazit plný text záznamu View this record from Arxiv