【摘要】 针对阵列信号处理中方向角、多普勒频率的同时估计问题,提出了方向角、多普勒频率的四元数模型,使估计方向角、多普勒频率二维问题与估计一维问题相类似,从而避免了在经典的二维复数模型估计中直接或间接的配对。首先给出了阵列接受信号的二维实模型,通过可分离信号和Hilbert变换构造了符合四元数结构的新的信号模型。讨论了Hamilton四元数、马氏四元数及其与二维实信号类似的欧拉公式。最后通过定义一个特殊的四阶累积量提取加性高斯有色噪声中的方向角、多普勒频率。仿真实验验证了算法的有效性。更多还原

【Abstract】 Based on the estimation of the directions of arrival (DOA) and the Doppler frequencies of the sources, a quaternion model was proposed, which made the estimation of the DOA and the Doppler frequencies similar to that of one-dimensional azimuths so as to avoid direct and indirect pairing with the complex model. A real model of two-dimensional received signal was given and a quaternion signal model through Hilbert transform and separated signal was constructed. In addition, Hamilton quaternion, Ma quaternion and their Euler formula similar to that of two-dimensional real signal were discussed. A special four order cumulant was defined to extract DOAs and Doppler frequencies from additive Gaussian colored noise. Simulation results show that the proposed method is effective.更多还原