Impulse Response of the Channel with a Spherical Absorbing Receiver and a Spherical Reflecting Boundary

Analytical Derivation of the Impulse Response for the Bounded 2-D Diffusion Channel

This paper focuses on the derivation of the distribution of diffused particles absorbed by an agent in a bounded environment. In particular, we analogously consider to derive the impulse response of a molecular communication channel in 2-D and 3-D environment. In 2-D, the channel involves a point transmitter that releases molecules to a circular absorbing receiver that absorbs incoming molecules in an environment surrounded by a circular reflecting boundary. Considering this setup, the joint distribution of the molecules on the circular absorbing receiver with respect to time and angle is deri…

Channel Characterization for 1D Molecular Communication with Two Absorbing Receivers

This letter develops a one-dimensional (1D) diffusion-based molecular communication system to analyze channel responses between a single transmitter (TX) and two fully-absorbing receivers (RXs). Incorporating molecular degradation in the environment, rigorous analytical formulas for i) the fraction of molecules absorbed, ii) the corresponding hitting rate, and iii) the asymptotic fraction of absorbed molecules as time approaches infinity at each RX are derived when an impulse of molecules are released at the TX. By using particle-based simulations, the derived analytical expressions are valida…

分子通信中带反射面的半空间建模

Half-Space Modeling with Reflecting Surface in Molecular Communication

本文将镜像法引入分子通信领域，求解了无限大反射面附近单输入单输出系统的信道响应闭式解，并证明三维半空间中的分子SISO系统可近似为包含两个对称吸收球形接收器的SIMO系统。

Channel Impulse Responses in Diffusive Molecular Communication with Spherical Transmitters

Molecular communication is an emerging paradigm for systems that rely on the release of molecules as information carriers. Communication via molecular diffusion is a popular strategy that is ubiquitous in nature and very fast over distances on the order of a micron or less. Existing closed-form analysis of the diffusion channel impulse response generally assumes that the transmitter is a point source. In this paper, channel impulse responses are derived for spherical transmitters with either a passive or absorbing receiver. The derived channel impulse responses are in closed-form for a one-dim…