Multifractal Property of Sea Clutter FRFT Spectrum for Target Detection
Multifractal Property of Sea Clutter FRFT Spectrum for Target Detection
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发表时间：
2013
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通讯作者：
Guan Jian
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作者：
Guan Jian
【摘要】：本文主要研究分数阶傅里叶变换(FRFT)域海杂波的多重分形特性及其在海杂波内目标检测中的应用。根据分数阶傅里叶变换数学定义的尺度特性,某些变换阶数的自相似过程的FRFT谱在各个尺度上并不具有一致的自相似性。针对这一特点,引入多重分形理论来分析海杂波FRFT的自相似结构。通过S波段和C波段雷达数据的验证，表明海杂波FRFT谱是多重分形的，并且FRFT域广义Hurst指数具有区分目标和海杂波的能力。在此基础上，将FRFT域广义Hurst指数与双参数恒虚警率检测器相结合，设计了海杂波下的目标检测方法并对其性能进行了分析。结果表明，该方法在时域上的性能明显优于经典的分形检测方法。
The paper mainly studies the multifractal property of sea clutter in the fractional Fourier transform(FRFT) domain and its application to target detection within sea clutter.According to the scale property of the mathematical definition of FRFT,the FRFT spectrum of a self-similar process in some transform order does not have uniform self-similarity at each scale.In the light of this characteristic,the multifractal theory is introduced to analyze the self-similar structure of the sea clutter FRFT spectrum and the influencing factors of the multifractal parameters in FRFT domain are studied as well.By the verification of S-band and C-band radar data,it's shown that the sea clutter FRFT spectrum is multifractal and the generalized Hurst exponent in FRFT domain has the ability of distinguishing target from sea clutter.Based on this,the generalized Hurst exponent in FRFT domain and the bi-parameter constant-false-alarm-rate detector are combined to design target detecting method in sea clutter and the performance is analyzed as well.The results show that the proposed method performs much better than the classic fractal detecting methods in time domain.