Abstract: The paper studies R^ML^N model, which can simultaneously describes scattering degree and shadowing degree of fading situation. By changing different parameters, the model can describe characteristics of different propagating environments. Firstly, the applicable scene, block diagram and theoretical derivation of the model are given. Then, the model characteristics under different parameters are studied, including statistical character of simulation results and theory results, which are probability density function and accumulative probability density function. Finally, simulations of the model are carried out in a certain environment. The applicability of the model is verified by comparison simulation results with measure results.