基于N分随机乘法模型的多重分形海杂波仿真

2分随机乘法模型的倍乘因子的分布要求是关于1/2对称的，所以基于此模型仿真出海杂波数据的多重分形谱函数形状比较受限制。该文在分析2分随机乘法模型构造过程的基础上，提出N分随机乘法模型，它是2分随机乘法模型的推广，但却突破倍乘因子分布关于1/2对称的限制，更利于仿真具有期望形状的多重分形谱函数的海杂波数据。理论推导和实验结果均表明倍乘因子的分布决定多重分形谱函数的形状。

Simulating Multifractal Sea Clutter byN-partitioned Random Multiplicative Process Model

The distribution of a multiplier of 2-partitioned random multiplicative model is symmetric about 1/2, which makes the shape of multifractal function of the simulation data be fixed. Based on the analysis of the construction process of the 2-partitioned random multiplicative model, the N-partitioned random multiplicative model is proposed, as a generalization of the 2-partitioned and it breaks the limitation that the multiplier is symmetric about 1/2. The model is more convenient to simulate data with the desired shape of multifractal function. It is proved theoretically and experimentally that the distribution of the multiplier determines the shape of the multifractal function.