Simulating multifractal sea clutter by N-partitioned random multiplicative process model

Chong Hu; Feng Luo; Yi Fei Fan; Shuai Lin Chen

doi:10.11999/JEIT141042

Simulating multifractal sea clutter by N-partitioned random multiplicative process model

Chong Hu, Feng Luo, Yi Fei Fan, Shuai Lin Chen

Xidian University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1470-1475
Number of pages	6
Journal	Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology
Volume	37
Issue number	6
DOIs	https://doi.org/10.11999/JEIT141042
State	Published - 1 Jun 2015
Externally published	Yes

Keywords

Multifractal
Random multiplicative process model
Sea clutter
Target detection

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abstract = "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.",

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AU - Luo, Feng

AU - Fan, Yi Fei

AU - Chen, Shuai Lin

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Y1 - 2015/6/1

N2 - 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.

AB - 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.

KW - Multifractal

KW - Random multiplicative process model

KW - Sea clutter

KW - Target detection

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Simulating multifractal sea clutter by N-partitioned random multiplicative process model

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Keywords

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