A Graph-based Simulation Method for Propagation Channels with Multiple-knife-edge Diffraction

In this paper, a simulation method reproducing the impact of multiple absorbing knife-edge diffraction on wireless radio propagation channel is proposed based on propagation graph modeling (PGM) that is recently applied to channel simulation with low-complexity by utilizing matrix product to update channel transfer states. In the new PGM proposed here, an iterative mathematic transformation is derived and applied to adapt the distance addition defined in the diffraction to a recursive matrix multiplication. Simulation results are compared among the newly proposed method and other classical numerical analytical approaches, e.g. geometry theory diffraction (GTD) and Deygout methods. It can be observed that the proposed method performs in good consistency to the existing methods when being applied to simulate the path loss behaviors.