Simulating multifractal sea clutter by N-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.