The cellular network of Magnetic Induction (MI) communication shows great promise in underground environments. In traditional MI communication, the channel is treated as quasi-static, without fast fading. However, in Vehicle (mobile) MI (VMI) communication, unpredictable antenna vibrations lead to significant fast fading. This phenomenon cannot be modeled by the Central Limit Theorem, marking a fundamental difference from other wireless fast-fading channels. Unfortunately, few studies have focused on this aspect.
In this paper, we propose a novel spatial modeling based on the electromagnetic field theorem, developing a 3D model for VMI antenna vibration. By introducing ``conjugate pseudo-piecewise functions'' and boundary $p(x)$ distribution, we derive the cumulative distribution function (CDF), probability density function (PDF), and expectation of the VMI fast-fading channel. We also theoretically analyze the impact of VMI fast fading on network throughput, including the VMI outage probability, which can be neglected in traditional MI channel studies.
Our findings reveal intriguing conclusions that differ from wireless fast-fading studies; for instance, fast fading results in more uniformly distributed channel coefficients. Finally, we propose a power control algorithm using non-cooperative game and multi-agent Q-learning methods to optimize the throughput of the cellular VMI network. Simulations validate our derivations and proposed algorithm.
Blogger's Review: This paper conducts an in-depth theoretical investigation into the fast fading phenomenon in mobile MI communication, presenting innovative modeling techniques and optimization algorithms. Its implications for underground communication technology could significantly advance the field, showcasing both theoretical importance and practical application potential.