Abstract Blind separation of multipath fading signals with impulsive interference and Gaussian noise is a very challenging issue due to multipath effects, which are often encountered in practical scenarios. Since the strong coherence among multipath signals leads to the extreme superposition in time-frequency (TF) domain, this paper proposes an iterative three-stage blind source separation (ITS-BSS) algorithm for the separation of coherent multipath signals in the presence of impulsive and Gaussian noise. Specifically, an initial estimation of mixing matrix is firstly implemented by some non-TF based algorithms. Secondly, a subspace-based TF-BSS algorithm is developed to determine the number of sources contributing at each auto-source TF point and then reconstruct corresponding sources. Thirdly, the reconstructed sources at current iteration are used to further improve the estimation accuracy of mixing matrix based on the least-squares (LS) algorithm. The last two stages are repeated by iteratively updating mixing matrix and sources until satisfied performance is achieved or a predefined number of iterations is done. Numerical results on multipath phase-shift keying (PSK) and quadrature amplitude modulation (QAM) signals plus impulsive noise under various signal-to-noise ratio (SNR) conditions are provided to demonstrate the feasibility and effectiveness of the proposed ITS-BSS algorithm.

中文翻译：

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时频域脉冲干扰和高斯噪声相干多径信号的盲分离

摘要 具有脉冲干扰和高斯噪声的多径衰落信号的盲分离是一个非常具有挑战性的问题，因为多径效应在实际场景中经常遇到。针对多径信号间强相干性导致时频域极端叠加的问题，本文提出一种迭代三阶段盲源分离（ITS-BSS）算法，用于在存在脉冲的情况下分离相干多径信号。和高斯噪声。具体来说，混合矩阵的初始估计首先由一些非基于 TF 的算法实现。其次，开发了一种基于子空间的 TF-BSS 算法来确定在每个自动源 TF 点上贡献的源数量，然后重建相应的源。第三，利用本次迭代重构的源进一步提高基于最小二乘法(LS)算法的混合矩阵的估计精度。最后两个阶段通过迭代更新混合矩阵和源来重复，直到达到满意的性能或完成预定义的迭代次数。提供了多径相移键控 (PSK) 和正交幅度调制 (QAM) 信号加上各种信噪比 (SNR) 条件下脉冲噪声的数值结果，以证明所提出的 ITS-BSS 算法的可行性和有效性。最后两个阶段通过迭代更新混合矩阵和源来重复，直到达到满意的性能或完成预定义的迭代次数。提供了多径相移键控 (PSK) 和正交幅度调制 (QAM) 信号加上各种信噪比 (SNR) 条件下脉冲噪声的数值结果，以证明所提出的 ITS-BSS 算法的可行性和有效性。最后两个阶段通过迭代更新混合矩阵和源来重复，直到达到满意的性能或完成预定义的迭代次数。提供了多径相移键控 (PSK) 和正交幅度调制 (QAM) 信号加上各种信噪比 (SNR) 条件下脉冲噪声的数值结果，以证明所提出的 ITS-BSS 算法的可行性和有效性。