Dept. of Electr. and Comput. Eng., State Univ. of New York, Amherst, NY.
IEEE Trans Image Process. 1992;1(2):229-42. doi: 10.1109/83.136599.
Methods for addressing two types of multiplicative noise in synthetic aperture radar (SAR) imaging are presented. The authors consider a multiplicative noise with a real phase (i.e. the SAR signal's phase is contaminated but its amplitude is uncorrupted) that possesses unknown functional characteristics with respect to the radar signal's temporal frequencies. A perturbation solution for phase reconstruction from amplitude is developed from a wave equation governing the SAR signal and a Riccati equation that relates the amplitude and phase functions of the SAR signal. This solution is converted into a noniterative analytical solution in terms of the moments and powers of the log amplitude function. Next, the authors consider a multiplicative noise with a complex phase (i.e. both the amplitude and phase of the SAR signal are contaminated) that varies linearly with respect to the radar signal's temporal frequencies. The two wave equations governing the SAR signal at two temporal frequencies of the radar signal are combined to derive a method to reconstruct the complex phase error function.
提出了两种解决合成孔径雷达（SAR）成像中乘法噪声的方法。作者考虑了一种具有实相位的乘法噪声（即 SAR 信号的相位受到污染但幅度未受干扰），该噪声在雷达信号的时间频率方面具有未知的函数特征。从控制 SAR 信号的波动方程和与 SAR 信号的幅度和相位函数相关的黎卡提方程出发，推导出了一种从幅度重建相位的摄动解。该解转换为对数幅度函数的矩和幂的非迭代解析解。接下来，作者考虑了一种具有复相位的乘法噪声（即 SAR 信号的幅度和相位都受到污染），该噪声随雷达信号的时间频率线性变化。将控制 SAR 信号的两个波动方程在雷达信号的两个时间频率上组合起来，推导出一种重建复相位误差函数的方法。
