{"ID":2833026,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.04858","arxiv_id":"2512.04858","title":"Exact 3-D Channel Impulse Response Under Uniform Drift for Absorbing Spherical Receivers","abstract":"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.","short_abstract":"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 for...","url_abs":"https://arxiv.org/abs/2512.04858","url_pdf":"https://arxiv.org/pdf/2512.04858v3","authors":"[\"Yen-Chi Lee\",\"Ping-Cheng Yeh\",\"Chia-Han Lee\"]","published":"2025-12-04T14:42:17Z","proceeding":"cs.IT","tasks":"[\"cs.IT\",\"eess.SP\",\"math.PR\"]","methods":"[]","has_code":false}