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中文核心期刊

水下目标时变线谱瞬时频率估计的增强型伪贝叶斯算法

Enhanced pseudo-Bayesian algorithm for instantaneous frequency estimation of time-varying line spectrum of underwater targets

  • 摘要: 为了提升无人水下航行器目标时变线谱的瞬时频率估计精度, 提出基于高斯–均匀混合模型的增强型伪贝叶斯算法。该算法将瞬时频率建模为时频谱幅值的时序马尔可夫隐变量, 并利用高斯–均匀混合模型统一量化瞬时频率、频谱扩展与噪声的不确定性。所提算法结合期望–最大化算法和Viterbi算法构建伪贝叶斯框架下的二阶段估计策略, 在提升算法估计精度的同时保证噪声鲁棒性和低计算复杂度。仿真结果和湖试数据表明, 在低信噪比、多线谱交错、幅值时变等典型水下复杂场景的瞬时频率估计问题中, 相较于传统时频脊路径检测和现有伪贝叶斯方法, 所提算法具有更高的估计精度和噪声鲁棒性, 且计算复杂度较现有多分量伪贝叶斯算法降低了1~3个数量级。

     

    Abstract: To improve the accuracy of instantaneous frequency estimation for the time-varying line spectrum of unmanned underwater vehicle targets, an enhanced pseudo-Bayesian algorithm based on a Gaussian-uniform mixture model is proposed. This algorithm models the instantaneous frequency as a time-series Markov hidden variable of time-frequency spectrum magnitudes, and employs the Gaussian-uniform mixture model to uniformly quantify the uncertainties regarding instantaneous frequency, spectral spread, and noise. By combining the expectation-maximization algorithm and the Viterbi algorithm, the proposed algorithm constructs a two-stage estimation strategy under a pseudo-Bayesian framework, which not only improves estimation accuracy but also ensures noise robustness and low computational complexity. Simulation results and lake trial data demonstrate that, in typical complex underwater scenarios such as low signal-to-noise ratio, multi-line spectrum interleaving, and time-varying amplitude, the proposed algorithm achieves higher estimation accuracy and stronger noise robustness compared with conventional time-frequency ridge detection and existing pseudo-Bayesian methods. Furthermore, its computational complexity is reduced by 1 to 3 orders of magnitude in comparison with existing multi-component pseudo-Bayesian algorithm.

     

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