乘性和加性噪声相关背景下的二维谐波频率估计

Two-Dimensional Frequency Estimation in Correlative Multiplicative and Additive Noise

本文利用二维循环统计量方法对乘性噪声之间相关、乘性噪声和加性噪声之间也相关这种复杂噪声背景下的谐波恢复问题进行了研究 .首先 ,提出了二维噪声互可混的概念 ,用它来体现多个二维噪声之间的关系 ;然后 ,在乘性噪声为非零均值时 ,定义了二维循环均值来估计信号频率 .在乘性噪声和加性噪声为零均值时 ,定义特殊的二维六阶时间平均多矩谱切片来估计信号频率 .仿真实验证明了算法的有效性 .

The problem of frequency estimation of two-dimensional (2-D) harmonics in the presence of correlative multiplicative and additive noise is presented. We propose a 2-D cyclic statistic-based approach to this problem, and 2-D cyclic mean is employed to estimate frequency in nonzero mean multiplicative noise. A special 2-D slice of the sixth-order time-average moment spectrum is defined to estimate frequency in zero mean multiplicative and additive noise. The effectiveness of our methods is demonstrated through some simulation examples.