Vector Quantization With Error Uniformly Distributed Over an Arbitrary Set
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AbstractFor 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.
Acceptance Date22/03/2024
All Author(s) ListChih Wei Ling, Cheuk Ting Li
Journal nameIEEE Transactions on Information Theory
Year2024
Month7
Volume Number70
Issue Number7
PublisherInstitute of Electrical and Electronics Engineers
Pages5392 - 5407
ISSN0018-9448
eISSN1557-9654
LanguagesEnglish-United States

Last updated on 2024-16-10 at 14:12