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由频域带限测量数据用连续小波变换提取雷达目标散射参数(Lipschitz指数).给出小波变换的影响锥,并分析小波变换的多通道滤波特性和局部傅里叶分析特征,以此直观地描述了用小波变换能够分析目标散射中心散射机理的原理.提出选择高斯函数的M阶微分函数作为小波,用截断高斯函数作为窗函数,并导出修正变换系数和尺度值的公式,消除带限数据的加窗处理对李氏指数估计的影响.提出直接在频域实现小波变换,以避免加窗处理,并给出选择最小尺度值的公式.仿真结果表明文中所述方法是有效的.
Radar target scattering parameters (Lipschitz index) are extracted from the band-limited measurement data by using continuous wavelet transform. The influence cone of wavelet transform is given, and the characteristics of multi-channel wavelet transform and local Fourier analysis are analyzed. The principle of analyzing scattering center of target by wavelet transform is described intuitively. The M-order differential function of Gaussian function is selected as the wavelet, the truncated Gaussian function is used as the window function, and the formulas of the modified transform coefficient and the scale value are derived to eliminate the influence of the windowed data processing on the Lee’s index estimation. It is proposed to implement wavelet transform directly in the frequency domain to avoid the windowing process and to give the formula for selecting the minimum scale value. Simulation results show that the method described in this paper is effective.