The automatically paired time of arrival (TOA) and direction of arrival (DOA) can be jointly estimated via a high-precision multidimensional spectral peak search- (SPS-) based multiple signal classification (MUSIC) algorithm in the impulse radio ultrawideband (IR-UWB) positioning system, while heavy computational burden is required. To tackle this issue, we propose an improved root-MUSIC algorithm for joint TOA and DOA estimation. After modelling the frequency domain form of the received signal, the algorithm first uses the signal subspace to establish the relationship between the two antennas. Then, the MUSIC spatial spectrum function is reconstructed with this relation, which enables it to offer a spectrum function in regard to the one-dimensional (1D) parameter of time delay. For further reducing the complexity, the TOA estimates of one antenna are obtained via 1D polynomial root finding instead of SPS, and the TOA estimates of the other antenna can be calculated by the established relationship. Finally, the DOA estimation can be achieved with the estimated TOAs. Due to the relationship between two antennas with signal subspace, the parameters estimated by the proposed algorithm are autopaired. Numerical simulations substantiate the superiority of the proposed algorithm.

中文翻译：

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IR-UWB信号的TOA和DOA估计：一种改进的Root-MUSIC算法

自动配对的到达时间（TOA）和到达方向（DOA）可以在脉冲无线电超宽带（IR-）中通过基于高精度多维谱峰搜索（SPS-）的多信号分类（MUSIC）算法共同估算。 UWB）定位系统，同时需要沉重的计算负担。为了解决这个问题，我们提出了一种改进的根MUSIC算法，用于联合TOA和DOA估计。在对接收信号的频域形式建模之后，该算法首先使用信号子空间来建立两个天线之间的关系。然后，MUSIC空间频谱函数通过这种关系进行重构，从而使其能够提供有关时延的一维（1D）参数的频谱函数。为了进一步降低复杂度，一个天线的TOA估计值是通过一维多项式根查找而不是SPS来获得的，而另一根天线的TOA估计值可以通过建立的关系来计算。最后，可以通过估算的TOA来实现DOA估算。由于两个天线与信号子空间之间的关系，所提出的算法估计的参数是自动配对的。数值模拟证实了所提算法的优越性。