Differential Properties of Information in Jump-diffusion Channels
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915261013032960 |
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| author | Fan, Luyao Zou, Jiayang Gao, Jiayang Wang, Jia |
| author_facet | Fan, Luyao Zou, Jiayang Gao, Jiayang Wang, Jia |
| contents | We propose a channel modeling using jump-diffusion processes, and study the differential properties of entropy and mutual information. By utilizing the Kramers-Moyal and Kolmogorov-Feller equations, we express the mutual information between the input and the output in series and integral forms, presented by Fisher-type information and mismatched KL divergence. We extend de Bruijn's identity and the I-MMSE relation to encompass general Markov processes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05708 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Differential Properties of Information in Jump-diffusion Channels Fan, Luyao Zou, Jiayang Gao, Jiayang Wang, Jia Information Theory 94A15 We propose a channel modeling using jump-diffusion processes, and study the differential properties of entropy and mutual information. By utilizing the Kramers-Moyal and Kolmogorov-Feller equations, we express the mutual information between the input and the output in series and integral forms, presented by Fisher-type information and mismatched KL divergence. We extend de Bruijn's identity and the I-MMSE relation to encompass general Markov processes. |
| title | Differential Properties of Information in Jump-diffusion Channels |
| topic | Information Theory 94A15 |
| url | https://arxiv.org/abs/2501.05708 |