A novel Toeplitz fourth-order cumulant (FOC) orthonormal propagator rooting method (TFOC ‐ OPRM) of direction-of-arrival (DOA) estimation for uniform linear array (ULA) is proposed in this paper. Specifically, the modified (i.e., reduced-dimension) FOC (MFOC) matrix is achieved at first via removing the redundant information encompassed in the primary FOC matrix; then, the TFOC matrix which possesses Toeplitz structure can be recovered by utilizing the Toeplitz approximation method. To reduce the computational complexity, an effective method based on the polynomial rooting technology is adopted. Finally, the DOAs of incident signals can be estimated by exploiting orthonormal propagator rooting method. The theoretical analysis coupled with simulation results show that the proposed resultant algorithm can reduce the computational complexity significantly, as well as improve the estimation performance in both spatially white noise environment and spatially color noise environment.

本文提出了一种新颖的Toeplitz四阶累积量（FOC）正交传播子生根方法（TFOC-OPRM），用于统一线性阵列（ULA）的到达方向（DOA）估计。具体地，首先通过去除包含在主要FOC矩阵中的冗余信息来实现修改后的（即，降维的）FOC（MFOC）矩阵。然后，TFOC具有Toeplitz结构的矩阵可以通过使用Toeplitz近似方法来恢复。为了降低计算复杂度，采用了一种基于多项式生根技术的有效方法。最后，利用正交正态传播器生根方法可以估计入射信号的DOA。理论分析和仿真结果表明，所提出的合成算法可以显着降低计算复杂度，并在空间白噪声环境和空间色噪声环境下均能提高估计性能。