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邹理和(1984)提出,用线性预测误差滤波器系数矩阵对K个二维复正弦波加白噪声的信号作谱估计,有着良好的特性。本文将证明,二维线性预测误差滤波器系数矩阵空间具有和相关阵空间非常类似的结构。在系数阵空间同样存在正交矢量谱估计方法。采用相关阵SVD逼近技术,可使系数阵正交矢量方法不仅具有很高分辨率,而且具有很好的统计稳定性。最后将二维的结果“移植”到一维,并在一维中进行了计算机模拟,模拟结果表明新方法比现用的一些方法为佳。
Zou Lihe (1984) proposed that the linear prediction error filter coefficient matrix for K two-dimensional complex sine wave plus white noise signal spectrum estimation, has good characteristics. This article will prove that two-dimensional linear prediction error filter coefficient matrix space has a very similar structure and related matrix space. Orthogonal vector spectrum estimation methods also exist in coefficient matrix space. The correlation array SVD approximation technique can make the coefficient matrix orthogonal vector method not only have high resolution, but also have good statistical stability. Finally, the two-dimensional results are “ported” to one dimension and the computer simulations are performed in one dimension. The simulation results show that the new method is better than some existing methods.