中文说明:这是阵列信号处理的基本算法的研究的其中之一,这是MUSIC算法[1] 是一种基于矩阵特征空间分解的方法。从几何角度讲,信号处理的观测空间可以分解为信号子空间和噪声子空间,显然这两个空间是正交的。信号子空间由阵列接收到的数据协方差矩阵中与信号对应的特征向量组成,噪声子空间则由协方差矩阵中所有最小特征值(噪声方差)对应的特征向量组成。MUSIC算法就是利用这两个互补空间之间的正交特性来估计空间信号的方位。噪声子空间的所有向量被用来构造谱,所有空间方位谱中的峰值位置对应信号的来波方位。MUSIC算法大大提高了测向分辨率,同时适应于任意形状的天线阵列,但是原型MUSIC算法要求来波信号是不相干的。
English Description:
This is one of the basic algorithm of array signal processing of the MUSIC algorithm which is [1] is a feature space based on matrix decomposition method. From the geometric point of view, can signal processing of the observation space is decomposed into signal subspace and noise subspace, obviously these two spaces are orthogonal. Signal subspace by the array received data covariance matrix and signal corresponding to the feature vector and noise subspace is by the covariance matrix of all minimum feature values (noise variance) corresponding to the feature vectors are composed. MUSIC algorithm is the use of the orthogonality between the two complementary space to estimate the spatial orientation of the signal. All vector noise subspace is used to construct the wave spectrum, azimuth peak position space azimuth spectrum in the corresponding signal. The MUSIC algorithm can greatly improve the resolution of direction finding antenna array at the same time, suitable for any shape,