Exact 3-D Channel Impulse Response Under Uniform Drift for Absorbing Spherical Receivers
Journal
IEEE Communications Letters
Journal Volume
30
Start Page
1290
End Page
1294
ISSN
1089-7798
1558-2558
2373-7891
Date Issued
2026-03-06
Author(s)
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.
Subjects
channel impulse response
channel modeling
first-hitting statistics
measure-change
Molecular communication
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Type
journal article