单光子激光雷达点目标回波信号降噪算法研究

Denoising algorithm for point target echo signals in single-photon lidar

  • 摘要: 单光子激光雷达在进行点目标检测时回波信号信噪比极低且易受噪声干扰,导致目标检测与测距精度难以保障。为了提升信号信噪比并降低检测虚警率,提出了一种融合粒子群优化和变分模态分解的降噪算法。该算法将粒子群算法引入变分模态分解过程,以优化其关键分解参数,克服了传统变分模态分解依赖人工经验设定参数而造成的普适性不足和参数不当问题。针对单光子激光雷达回波信号频谱特性,算法选取信号光滑度作为粒子群算法的适应度函数,并将峰度系数设为模态选取标准,从而实现信号与噪声有效分离。试验结果表明,所提降噪方法的均方根误差低至2.4265,不仅使回波信号的峰值信噪比提升5.39 dB,还可以较好地保留原始信号的波形特征,降低目标虚警率达87.1%。相较于传统的小波变换、经验模态分解、集合经验模态分解、完全自适应噪声集合经验模态分解及变分模态分解等降噪算法,该算法在降噪性能上实现了显著提升。

     

    Abstract: In single-photon lidar for point target detection, the extremely low signal-to-noise ratio (SNR) of echo signals and their susceptibility to noise interference make target detection and ranging accuracy difficult to guarantee. To enhance the SNR and reduce the false alarm rate, this paper proposes a denoising algorithm combining particle swarm optimization (PSO) and variational mode decomposition (VMD). The algorithm introduces the PSO into the VMD process to optimize its key decomposition parameters, overcoming the limitations of traditional VMD, which relies on manual empirical parameter setting, resulting in insufficient universality and suboptimal parameters. Based on the spectral characteristics of single-photon lidar echo signals, the algorithm selects signal smoothness as the fitness function for PSO and sets the kurtosis coefficient as the mode selection criterion, thereby achieving effective separation of signal and noise. Experimental results demonstrate that the proposed denoising method achieves a root mean square error (RMSE) as low as 2.426 5. It not only improves the peak signal-to-noise ratio (PSNR) of the echo signal by 5.39 dB but also effectively retains the waveform characteristics of the original signal, significantly reducing the target false alarm rate by up to 87.1%. Compared to traditional denoising algorithms such as wavelet transform, empirical mode decomposition (EMD), ensemble empirical mode decomposition (EEMD), complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN), and VMD, the proposed algorithm achieves significant improvements in denoising performance.

     

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