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针对从高频地波雷达海洋回波多普勒谱反演海浪参数的非线性积分方程,采用线性化近似可以转化为线性积分方程,类似于第一类Fredholm积分方程.文中采用数值方法将线性积分方程转化为二次型最优化问题,并采用共轭梯度法来求解.针对海浪参数的非负先验特性,在迭代过程中,加入非负约束项对共轭梯度法进行了改进.在单部雷达和双部雷达情况下进行正演数值模拟,然后用模拟数据添加不同信噪比的随机噪声进行海浪参数反演,无论是单峰海浪谱还是有两个传播方向的双峰谱反演结果均表明了本文提出的算法在不同信噪比下的有效性.
A nonlinear integral equation for inverting wave parameters from the ocean echo Doppler spectrum of high frequency ground wave radar can be converted into a linear integral equation by linear approximation similar to the Fredholm integral equation of the first kind.In this paper, The equation is transformed into a quadratic optimization problem and solved by the conjugate gradient method.According to the nonnegative a priori characteristics of the wave parameters, the conjugate gradient method is improved by adding the nonnegative constraint term in the iterative process.In the single Radar and dual-radar, and then use the simulated data to add the random noise with different signal-to-noise ratio for inversion of the sea wave parameters, whether it is the single-peak sea-wave spectrum or the double-peak spectrum inversion with two directions of propagation The results show the effectiveness of the proposed algorithm at different SNRs.