基于改进 FastICA 的冲击波工频干扰消除算法

在火炮冲击波信号测试领域中, 为解决陷波算法消除工频干扰损失有效信号成分的问题, 提出了一种改 进的 FastICA 算法消除工频干扰。 采用五阶收敛的牛顿迭代形式改进基于负熵的 FastICA 算法, 使其不仅具备 负熵算法的高精准度, 而且收敛速度快, 迭代次数少。 仿真结果表明, 该算法的相似系数和信噪比达到 0. 999 99和 45 dB, 较传统陷波算法的 0. 996 和 21 dB 有明显的优势。 相比于基于负熵的 FastICA 算法, 改进算 法与其精准度相同, 但迭代次数减少了 26. 7%; 与收敛速度较快的峭度算法相比, 改进算法迭代次数更少, 收 敛速度更快, 稳定性更高。 该算法具备精准度高、 收敛速度快和迭代次数少等优势, 因此适用于实时处理冲击 波的测试场合。

Shock Wave Power Frequency Interference Elimination Algorithm Based on Improved FastICA

Artillery shock wave signal test usually uses the notch algorithm to eliminate the power frequency interference,but this method often loses the effective signal component.Therefore, an improved FastICA algorithm is proposed to eliminate the power frequency interference.The FastICA algorithm based on negative entropy is improved by using the Newton iteration form of fifth order convergence.The algorithm has high accuracy of negative entropy algorithm,and has a fast convergence time and few iterations.The simulation results show that the proposed algorithm has 0.999 99 and 45 dB on the similarity coefficient and signal to noise ratio, which is obviously superior to the traditional notch algorithm of 0.996 and 21 dB.And compared with the FastICA algorithm based on negentropy,the improved algorithm is the same as its precision,but the number of iterations is reduced by 26.7%.And compared with the kurtosis algorithm with faster convergence speed, the improved algorithm has fewer iterations,faster convergence and higher stability.The algorithm has the advantages of high precision, fast convergence speed and few iterations, and is suitable for real-time processing of shock wave.