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Simulating multi‐fractal sea clutter and surface based on the random multiplicative model

It has been proved that the multi-fractal sea clutter can be simulated by the three-partitioned random multiplicative model. This study constructs multi-fractal sequences with similar multiplicative factors of the sea clutter of the IPIX radar and calculates the multi-fractal spectra by the Qth-order moment structure partition function. Simulation results prove that it can construct multi-fractal sequence with the multi-fractal spectrum similar to the given one. Then the N 2-partitioned random multiplicative model is proposed to simulate the two-dimensional surface and calculate the multi-fractal spectrum by the two-dimensional multi-fractal analysis based on the partition function approach. Simulations indicate that it is a good way to simulate the multi-fractal surface based on the N 2-partitioned random multiplicative process model. It provides a new way for the surface modelling of the sea surface.