Vector Quantization with Error Uniformly Distributed over an Arbitrary Set
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914650956759040 |
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| author | Ling, Chih Wei Li, Cheuk Ting |
| author_facet | Ling, Chih Wei Li, Cheuk Ting |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_06788 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Vector Quantization with Error Uniformly Distributed over an Arbitrary Set Ling, Chih Wei Li, Cheuk Ting Information Theory 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. |
| title | Vector Quantization with Error Uniformly Distributed over an Arbitrary Set |
| topic | Information Theory |
| url | https://arxiv.org/abs/2305.06788 |