本文主要研究海杂波分数阶Fourier变换(职丌t)谱的扩展自相似特性及FRFTr域多尺度Hurst指数在海杂波目标检测中的应用.鉴于扩展自相似过程的描述参数——多尺度Hurst指数可以描述分形信号在各尺度下的细节信息,本文基于实测雷达数据研究海杂波FRFI’谱的扩展自相似性以及影响参数,并利用最优FRFT域尺度下多尺度Hurst指数对目标较敏感的特点设计海杂波中目标的恒虚警检测方法.经实测数据验证,海杂波FRFT谱的多尺度Hurst指数比时域单-Hurst指数、时域多尺度Hurst指数具有更好的海杂波与目标区分能力,并且由于咖’可以很好地积累匀加速类目标回波的能量,有效提升信杂比,因此该检测方法具有检测海杂波中微弱运动目标的潜力.
This paper mainly studies the extended self-similarity of the fractional Fourier transform (FRPT) spectrum of sea clutter and the application of the multi-scale Hurst exponent in FRFF domain to target detection within sea clutter. Considering that the parameter of the extended serf-similar process---the multi-scale Hurst exponent can characterize the details of fractal signals in each scale,this paper studies the extended self-similarity of real sea clutter FRFI" spectrum and its influencing factors based on real radar data. Then, the characteristic that the multi-scale Hurst exponent in the optimal FRFT-domain scale is relatively sensitive to the target is utilized for designing CFAR detection method within sea clutter. By the verification of real data, the multi-scale Hurst expo- nent in FRFT domain performs better in separating target from sea clutter than the mono-Hurst exponent and the multi-scale Hurst exponent in time domain. Additionally, because FRFT can effectively accumulate the energy of accelerating target echoes and pro- mote the signal-to-clutter ratio, the proposed detection method has the potential for weak moving target detection within sea clutter.