摘要
为了提高重构相干信号测向算法的估计性能,降低算法运算量,提出了一种基于矩阵重构和酉变换方法的酉矩阵重构算法。该算法首先通过酉变换将阵列接收数据从复值计算转换为实值计算,使计算量大大降低;然后计算阵列协方差矩阵并进行特征值分解得到信号子空间,再将信号子空间重构为Toeplitz矩阵实现解相干并再次进行酉变换;最后通过特征值分解得到信号子空间并使用最小二乘法实现波达方向(direction of arrival,DOA)估计。相比于改进的旋转不变性的信号参数(estimation of signal parameters via rotational invariance techniques-like,ESPRIT-Like)算法和空间平滑处理算法,由于消除了噪声影响、构造了Toeplitz矩阵以及充分利用了数据的共轭信息,该算法的估计精度更高、具有更高的运算效率且在ESPRIT-Like算法失效的条件下新算法仍能有效估计DOA。本文算法的运行时间是ESPRIT-Like算法的71.2%,实验结果证明了该方法的有效性和真实性。
To improve the estimation performance of coherent signal direction finding algorithm and reduce the computational complexity,a unitary matrix reconstruction algorithm based on matrix reconstruction and unitary transformation is proposed.First,the algorithm converts the received data of the array from the complex domain to the real domain by unitary transformation,which greatly reduces the amount of calculation,then the covariance matrix of the array is calculated and the eigenvalue decomposition is performed to obtain the signal subspace,and then the signal subspace is reconstructed into a Toeplitz matrix to achieve decoherence and perform unitary transformation again.Finally,the signal subspace is obtained by eigenvalue decomposition and the direction of arrival(DOA)is estimated by the least square method.Compared with the estimation of signal parameters via rotational invariance techniqueslike(ESPRIT-Like)algorithm and the spatial smoothing algorithm,the proposed algorithm eliminates the influence of noise,constructs the Toeplitz matrix and makes full use of the conjugate information of the data,so it has higher estimation accuracy and higher computational efficiency,and can effectively estimate DOA even if ESPRIT-Like algorithm fails.Experimental results demonstrate effectiveness and authenticity of the proposed method.The running time of the proposed algorithm is 71.2%of that of the ESPRIT-Like algorithm.
作者
李齐衡
孙溶辰
孙志国
LI Qiheng;SUN Rongchen;SUN Zhiguo(College of Information and Communication Engineering,Harbin Engineering University,Harbin 150001,China)
出处
《应用科技》
CAS
2024年第1期120-129,共10页
Applied Science and Technology
基金
国家自然科学基金项目(62001139)。
