On the Nonasymptotic Bounds of Joint Source-Channel Coding with Hierarchical Sources
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914397974167552 |
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| author | Shao, Shuo Qi, Chao Dai, Jincheng |
| author_facet | Shao, Shuo Qi, Chao Dai, Jincheng |
| contents | In this paper we study the nonasymptotic bounds of a special Joint Source-Channel Coding system with hierarchical source, where an observable source and an unobservable indirect source are required to be reconstructed. Namely, we focus on the achievable and converse bounds of the excess distortion probability in the finite blocklength regime. The main challenge arises from the hierarchical source structure, which requires simultaneous reconstruction of both sources. This setup demands a coding scheme which satisfy the demand of encoding both source for the achievability bound, and a method to characterize the joint excess-distortion probability of two correlated events for the converse bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15249 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Nonasymptotic Bounds of Joint Source-Channel Coding with Hierarchical Sources Shao, Shuo Qi, Chao Dai, Jincheng Information Theory In this paper we study the nonasymptotic bounds of a special Joint Source-Channel Coding system with hierarchical source, where an observable source and an unobservable indirect source are required to be reconstructed. Namely, we focus on the achievable and converse bounds of the excess distortion probability in the finite blocklength regime. The main challenge arises from the hierarchical source structure, which requires simultaneous reconstruction of both sources. This setup demands a coding scheme which satisfy the demand of encoding both source for the achievability bound, and a method to characterize the joint excess-distortion probability of two correlated events for the converse bound. |
| title | On the Nonasymptotic Bounds of Joint Source-Channel Coding with Hierarchical Sources |
| topic | Information Theory |
| url | https://arxiv.org/abs/2603.15249 |