One-Shot Wyner-Ziv Compression of a Uniform Source
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929334684483584 |
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| author | Ülger, Oğuzhan Kubilay Erkip, Elza |
| author_facet | Ülger, Oğuzhan Kubilay Erkip, Elza |
| contents | In this paper, we consider the one-shot version of the classical Wyner-Ziv problem where a source is compressed in a lossy fashion when only the decoder has access to a correlated side information. Following the entropy-constrained quantization framework, we assume a scalar quantizer followed by variable length entropy coding. We consider compression of a uniform source, motivated by its role in the compression of processes with low-dimensional features embedded within a high-dimensional ambient space. We find upper and lower bounds to the entropy-distortion functions of the uniform source for quantized and noisy side information, and illustrate tightness of the bounds at high compression rates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01774 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | One-Shot Wyner-Ziv Compression of a Uniform Source Ülger, Oğuzhan Kubilay Erkip, Elza Information Theory In this paper, we consider the one-shot version of the classical Wyner-Ziv problem where a source is compressed in a lossy fashion when only the decoder has access to a correlated side information. Following the entropy-constrained quantization framework, we assume a scalar quantizer followed by variable length entropy coding. We consider compression of a uniform source, motivated by its role in the compression of processes with low-dimensional features embedded within a high-dimensional ambient space. We find upper and lower bounds to the entropy-distortion functions of the uniform source for quantized and noisy side information, and illustrate tightness of the bounds at high compression rates. |
| title | One-Shot Wyner-Ziv Compression of a Uniform Source |
| topic | Information Theory |
| url | https://arxiv.org/abs/2405.01774 |