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

Abstract

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.

Keywords

• radar detection
• radar clutter
• fractals
• ipix radar
• multifractal sea clutter
• sea surface
• surface modelling
• random multiplicative process model
• multifractal surface
• partition function approach
• two-dimensional multifractal analysis
• multifractal spectrum
• moment structure partition function
• multifractal spectra
• similar multiplicative factors
• multifractal sequence
• three-partitioned random multiplicative model