相关乘性和加性噪声背景下的二维谐波恢复

Two-Dimensional Harmonic Retrieval in Correlative Multiplicative and Additive Noise

针对乘性噪声和加性噪声均为零均值,且乘性噪声之间相关,乘性噪声和加性噪声之间也相关,这种复杂噪声背景下的二维谐波恢复问题,利用二维循环统计量方法进行了研究。提出了二维噪声互可混的概念,用来体现多个二维噪声之间的相关关系;定义了特殊的二维四阶时间平均多矩谱来估计信号频率。仿真实验证明了算法的有效性。

The problem concerned here is two-dimensional (2-D) harmonic retrieval in correlative multiplicative and additive noise, which not only 2-D multiplicative and additive noise, but also multiplicative and multiplicative noise is correlative. We propose a 2-D cyclic statistic-based approach to this problem. First, we define the cross-mixing of 2-D stochastic process, which can depict the correlative relationship of the multiplicative and additive noise. Second, a special 2-D the fourth-order time-average moment spectrum is defined to estimate frequency in zero mean multiplicative and additive noise. This method needs not to constrain the distribution and color of noise. The effectiveness of our method is demonstrated through some simulation examples.