基于Q-MMSPF的海杂波多重分形互相关分析和目标检测

提出一种研究长程互相关和多重分形的新方法——Q阶混合矩结构分割函数法(Q-MMSPF),并利用Q-MMSPF分析了海杂波时间序列的多重分形互相关特征。通过对实测海杂波数据的计算分析发现,海杂波互相关多重分形特征较弱,目标信号之间的互相关多重分形特征明显,而目标信号与海杂波之间的互相关多重分形程度介于二者之间。据此,本文采用一种新的特征值进行海杂波背景下的目标检测。通过对不同条件下的实测海杂波数据验证,表明使用本文提出的特征值测量方法可以十分有效地检测出海杂波背景下的小弱目标。

Multifractal Cross-Correlation Analysis of Sea Clutter and Target Detection Based on Q-MMSPF

A novel method, that is Qth order Mixed Moment Structure Partition Function (Q-MMSPF) method, is proposed in this paper for the detection of long-range cross-correlations and multifractality. With this method, the multifractal cross-correlation characteristic of sea clutters is investigated. The analysis, based on the real sea clutter data, shows that the cross-correlation multifractality is quite weaker between the two sea clutter series, and the multifractality is significant between two time series of target plus sea clutter. Whereas the multifractality would be in the middle for the case which is between target time series and sea clutter time ones. Consequently, an approach is suggested to detect the targets in sea clutter. The test results show that the target could be clearly distinguished from the sea clutter background with the proposed feature-based method.