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DOA estimation with known waveforms in the presence of unknown time delays and Doppler shifts

机译：在存在未知时间延迟和多普勒频移的情况下使用已知波形进行DOA估计

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摘要

A novel DOA estimation method for known waveform sources with different unknown time delays and Doppler shifts is proposed. Based on the idea of maximum likelihood and the matrix projection theory, a decoupled cost function is first constructed and then the problem of estimating time delay and Doppler shift is transformed into a nonlinear least squares (NLS) problem. To solve the NLS problem efficiently without multidimensional search, a Toeplitz dominant rule is established to perform initial estimates with a reduced dimension. Finally, with the aid of time delay and Doppler shift estimates, DOAs and complex amplitudes of the incoming signals are obtained. Simulation results show that the proposed method can achieve a performance close to CRB at high SNR and with a large number of snapshots. (C) 2019 Elsevier B.V. All rights reserved.
机译：提出了一种新的已知DOA估计方法，用于已知未知时延和多普勒频移的波形源。基于最大似然思想和矩阵投影理论，首先构造了一个解耦成本函数，然后将估计时延和多普勒频移的问题转化为非线性最小二乘（NLS）问题。为了在不进行多维搜索的情况下有效地解决NLS问题，建立了Toeplitz主导规则以执行尺寸减小的初始估计。最后，借助时间延迟和多普勒频移估计，可以获得输入信号的DOA和复振幅。仿真结果表明，该方法在高信噪比和大量快照的情况下可以达到接近CRB的性能。 （C）2019 Elsevier B.V.保留所有权利。

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