基于奇异值分解的侵彻过载信号降噪方法
Research of the Penetration Overload Signals De-noising Method Based on Singular Value Decomposition

为解决硬目标侵彻过载信号的降噪问题，提出侵彻加速度信号的奇异值分解技术。首先，通过主体奇异值分量稳定原则确定信号的重构子矩阵；然后，利用前K次奇异值能量占优法则提取奇异值的有效阶次，在此基础上对实测信号进行奇异值分解；最后，利用分解出的有效奇异值完成信号的重构。实验证明，经此方法处理的侵彻过载信号可以有效剔除隐含在弹体加速度信号中的振动和噪声，重构后的加速度曲线具有比小波降噪效果更好的信噪比，积分得到的位移曲线能较好反映实际侵彻深度，是侵彻过载信号处理的一种新的可行方法。
This paper proposes a method based on singular value decomposition technology in order to solve the hard target penetration overload signals de-noising problem. First, the signal reconstruction sub-matrix is established based on the principle of stability of the main singular components. Second, the "dominant of the former K singular values energy" rule is used to extract the effective order of singular value. Penetration signals are then decomposed based on the previous steps. Finally, the signal is reconstructed using the extracted effective singular values. Experiments show that the proposed method can effectively eliminate the vibration and noise hiding in the penetration process. The proposed method can get a better signal to noise ratio than when using the wavelet transform, as well as the exact penetration depths of the experiments. Ultimately, the proposed method is a feasible new method on penetration fuse signals processing.