非均匀线阵的快速求根MUSIC方法

相对于均匀阵列,非均匀阵列在增大天线孔径、避免栅瓣方面具有明显优势。针对非均匀线阵DOA估计带来的高计算量问题,提出了一种快速的实多项式求根MUSIC方法。该方法利用小角度范围内的导向矢量可以利用低阶多项式很好近似的特性,将非均匀线阵DOA估计问题转化为多组低阶实多项式求根问题。由于低阶实多项式具有计算量小以及数值稳定性好等优点,而且多组多项式求根可以并行实现,该方法能够快速地实现非均匀线阵DOA估计,非常适合于工程应用。

Fast Root MUSIC for Non-Uniform Linear Array

Compared to the uniform linear array（ULA）,the non-ULA has an advantage on increasing antenna size and avoiding grating lobes.Considering the fact that DOA estimation for non-uniform linear ar-ray（non-ULA）is computationally expensive,a fast root MUSIC estimator is developed here.The presented method utilizes the characteristic that steering vectors in small angle area can be well approximated by low-or-der polynomial,DOA estimation for non-ULA can be converted into multiple groups of low-order polynomial rooting.Due to low computational complexity and good numerical stability of low-order polynomial,the presented method can realize DOA estimation efficiently and is very suitable for engineering applications.