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arXiv · 2501.05708

Differential Properties of Information in Jump-diffusion Channels

Luyao Fan·Jiayang Zou·Jiayang Gao·Jia Wang
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Abstract

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.

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Luyao Fan, Jiayang Zou, Jiayang Gao, Jia Wang. 2025-01-10. Differential Properties of Information in Jump-diffusion Channels. https://arxiv.org/abs/2501.05708

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