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arXiv 1604.05037cs.ITmath.IT
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联合DOA和欠采样频率估计

Joint DOA and Frequency Estimation with Sub-Nyquist Sampling

Liang Liu, Ping Wei

摘要:

针对窄带远场信号的频率和波达方向(DOA)联合估计问题,提出了一种基于欠采样技术的阵列接收机结构。特别是,我们的贡献是三方面的。i)首先,提出了一种时空联合的阵列信号接收模型,该模型采用欠采样技术和任意阵列结构,降低了时域采样率,提高了DOA估计精度。在高阶时空联合空间中得到了较好的联合估计。ii)其次,针对接收模型提出了两种联合估计算法。一种是基于三阶张量理论的三线性分解,另一种是基于子空间分解。iii)第三,我们推导出频率和DOA估计的相应Cramér \text{-} Rao Bound(CRB)。在分支数等于采样率的缩减因子的情况下,可以观察到CRB在信号数方面是鲁棒的,而基于奈奎斯特采样方案的CRB将相对于信号数增加。此外,联合时空模型的新导向矢量在有限的传感器数量下是完全不相关的,这提高了估计性能。此外,仿真结果表明,我们的估计通过与所提出的算法相关联的接收机架构密切匹配的CRB根据噪声水平,分支数和源数以及。

英文摘要:

In this paper, to jointly estimate the frequency and the direction-of-arrival(DOA) of the narrowband far-field signals, a novel array receiver architecture is presented by the concept of the sub-Nyquist sampling techniques. In particular, our contribution is threefold. i) First, we propose a time-space union signal reception model for receiving array signals, where the sub-Nyquist sampling techniques and arbitrary array geometries are employed to decrease the time-domain sampling rate and improve the DOA estimation accuracy. A better joint estimation is obtained in the higher time-space union space. ii) Second, two joint estimation algorithms are proposed for the receiving model. One is based on a trilinear decomposition from the third-order tensor theory and the other is based on subspace decomposition. iii) Third, we derive the corresponding Cramér\text{-}Rao Bound (CRB) for frequency and DOA estimates. In the case of the branch number of our architecture is equal to the reduction factor of the sampling rate, it is observed that the CRB is robust in terms of the number of signals, while the CRB based on the Nyquist sampling scheme will increase with respect to the number of signals. In addition, the new steer vectors of the union time-space model are completely uncorrelated under the limited number of sensors, which improves the estimation performance. Furthermore, the simulation results demonstrate that our estimates via the receiver architecture associated with the proposed algorithms closely match the CRB according to the noise levels, the branch number and the source number as well.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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