CAJ | 학술논문

奇异值分解降噪算法中，有效秩阶次的判断对降噪算法的性能的影响至关重要。为选取更准确的有效秩阶次，本文研究了奇异值序列的差分，提出判断奇异值分解重构的有效秩阶次的新方法，并应用其对时间域瞬变电磁信号降噪，提高输出信号的信噪比。与现有判断有效秩阶次的算法不同，本文算法考察奇异值序列的归一化差分的峰值而不是最大值，通过选择归一化差分的合适峰值，并综合差分比序列以判断阶次。实验中发现，对于两个大小相近的尖峰，其中差分比小的，更适合作为有效秩阶次。本文算法在降噪的同时，能较好地保留有用信号的波形特征，减小失真。
기이치분해강조산법중，유효질계차적판단대강조산법적성능적영향지관중요。위선취경준학적유효질계차，본문연구료기이치서렬적차분，제출판단기이치분해중구적유효질계차적신방법，병응용기대시간역순변전자신호강조，제고수출신호적신조비。여현유판단유효질계차적산법불동，본문산법고찰기이치서렬적귀일화차분적봉치이불시최대치，통과선택귀일화차분적합괄봉치，병종합차분비서렬이판단계차。실험중발현，대우량개대소상근적첨봉，기중차분비소적，경괄합작위유효질계차。본문산법재강조적동시，능교호지보류유용신호적파형특정，감소실진。
In the singular value decomposition de-noising algorithm,the choice of the effective rank order is of great impor-tance to influence the performance of the de-noising algorithm.To select a more accurate effective rank order,this paper studied the difference of singular value sequence,proposed a new method to determine the effective rank order,applied it to de-noise the time domain transient electromagnetic signal,and raised the output signal-to-noise ratio.Differs from exist-ing rank-determining algorithms,the proposed method cares about the peaks but not the maximum of the normalized differ-ence,chooses the appropriate peak and determines the rank order together with the difference ratio of the singular value se-quence.In simulation experiments we found that for two similar peaks of the singular value difference,the one whose differ-ence ratio is smaller,is more appropriate to be the effective rank order.The proposed method can keep the waveform fea-ture of the desired signal and decrease distortion while de-noising.