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考虑信道估计误差的低复杂度水声单载波频域均衡接收机

Low-complexity underwater acoustic single-carrier frequency-domain equalization receiver considering channel estimation errors

  • 摘要: 针对信道估计误差影响水声单载波频域均衡性能的问题, 提出一种考虑信道估计误差的低复杂度水声单载波频域均衡接收机。该接收机将估计的信道向量建模为真实值与估计误差之和, 结合稀疏先验约束构建统计模型, 利用期望最大化(EM)算法迭代估计水声信道后验分布; 随后, 利用该后验分布推导得到信道估计误差存在时满足最小均方误差准则的单载波频域判决反馈均衡器。复杂度分析表明, 所提方法在EM算法迭代过程中避免了矩阵求逆运算, 且判决反馈结构在频域实现, 计算复杂度较低。数值仿真与海试结果表明, 本文所提方法在与经典方法相比具有较好或相近的误码性能的同时, 显著降低了接收机计算耗时。

     

    Abstract: This paper proposes a low-complexity receiver design that explicitly incorporates channel estimation uncertainties to address the performance degradation of underwater acoustic single-carrier frequency-domain equalization caused by channel estimation errors. The receiver models the estimated channel impulse response as a superposition of its true value and estimation error. By integrating sparse prior constraints into a statistical model framework, an expectation-maximization (EM) algorithm iteratively estimates the posterior distribution of the underwater acoustic channel while accounting for estimation inaccuracies. Subsequently, a minimum mean-square error frequency-domain decision feedback equalizer is analytically derived under this statistical framework to mitigate residual errors induced by channel estimation errors. Complexity analysis demonstrates that the proposed method bypasses matrix inversion operations during EM iterative processing and implements the decision feedback structure directly in the frequency domain, yielding markedly reduced computational complexity. Extensive numerical simulations and sea trials confirm that the proposed method achieves comparable or superior bit error rate performance relative to the conventional method, while significantly lowering computational latency in receiver implementation.

     

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