针对二维多重信号分类算法可以估计出系统的到达时间(TOA,time-of-arrival)和波达方向(DOA,direction- of-arrival)参数,但需要复杂度非常高的二维谱峰搜索这一问题,提出了IR-UWB系统中基于求根MUSIC(root-MUSIC)的TOA和DOA联合估计算法,该算法对接收信号的频域形式建模,先估计出TOA,然后由TOA的差值计算出DOA,从而实现TOA和DOA的联合估计。该算法不需谱峰搜索,可直接给出估计参数的闭式解,还可实现参数配对。还推导了参数估计的误差方差。仿真结果表明,该算法的参数估计性能明显优于矩阵束算法、传播算子算法以及基于旋转不变技术估计信号参数算法,并且非常接近于2D-MUSIC算法,但该算法的复杂度却远远低于2D-MUSIC算法。
The parameters can be estimated via two-dimensional (2D) multiple signal classification (MUSIC) algorithm, in which the two-dimensional spectral peak searching, however, requires much higher computational complexity. Aiming at this, an algorithm of root-MUSIC-based joint TOA and DOA estimation in IR-UWB system was proposed. After mod- eling the received signals in the frequency-domain, the algorithm estimated the TOA parameters first, and then the DOA parameters via the difference of the TOA was obtained, thereby the joint TOA and DOA estimation was gained. This al- gorithm does not need spectral peak searching and can obtain the closed-forrn solutions of the TOAs and DOAs. More- over, it can get the parameters paired. In addition, the error variances of the estimated parameters were derived. The simulation results show that the proposed algorithm has much better performance than matrix pencil algorithm, propaga- tor method and estimation of signal parameters via rotational invariance techniques (ESPRIT) algorithm, and has almost the same performance as 2D-MUSIC algorithm, while the complexity of the proposed algorithm has far lower than that of 2D-MUSIC al~,orithm.