Open AccessSimulating multi‐fractal sea clutter and surface based on the random multiplicative model
Author(s) -
Xi Caiping,
Xiong Gang,
Yang Yonghong,
Chen Si
Publication year - 2019
Publication title -
the journal of engineering
Language(s) - English
Resource type - Journals
ISSN - 2051-3305
DOI - 10.1049/joe.2019.0505
Subject(s) - clutter , fractal , multiplicative function , surface (topology) , computer science , statistical physics , geology , mathematics , geometry , mathematical analysis , physics , telecommunications , radar
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 Q th‐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.