Exact 3-D Channel Impulse Response Under Uniform Drift for Absorbing Spherical Receivers
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917311254888448 |
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| author | Lee, Yen-Chi Yeh, Ping-Cheng Lee, Chia-Han |
| author_facet | Lee, Yen-Chi Yeh, Ping-Cheng Lee, Chia-Han |
| contents | An exact channel impulse response (CIR) for the three-dimensional point-to-sphere absorbing channel under drift has remained unavailable due to symmetry breaking. This letter closes this gap by deriving an exact analytical CIR for a fully absorbing spherical receiver under uniform drift with arbitrary direction. By formulating the problem in terms of joint first-hitting time-location statistics and applying a Girsanov-based measure change, drift effects are isolated into an explicit multiplicative factor, yielding an exact series representation. The resulting CIR provides a rigorous reference model and enables efficient, noise-free evaluation of key channel metrics without relying on Monte Carlo simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04858 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact 3-D Channel Impulse Response Under Uniform Drift for Absorbing Spherical Receivers Lee, Yen-Chi Yeh, Ping-Cheng Lee, Chia-Han Information Theory Signal Processing Probability 60J65, 60G40, 35K05 An exact channel impulse response (CIR) for the three-dimensional point-to-sphere absorbing channel under drift has remained unavailable due to symmetry breaking. This letter closes this gap by deriving an exact analytical CIR for a fully absorbing spherical receiver under uniform drift with arbitrary direction. By formulating the problem in terms of joint first-hitting time-location statistics and applying a Girsanov-based measure change, drift effects are isolated into an explicit multiplicative factor, yielding an exact series representation. The resulting CIR provides a rigorous reference model and enables efficient, noise-free evaluation of key channel metrics without relying on Monte Carlo simulations. |
| title | Exact 3-D Channel Impulse Response Under Uniform Drift for Absorbing Spherical Receivers |
| topic | Information Theory Signal Processing Probability 60J65, 60G40, 35K05 |
| url | https://arxiv.org/abs/2512.04858 |