计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2015年
12期
230-234
,共5页
滤波-x最小均方算法(FxLMS)%主动振动控制%冲击噪声%跟踪微分滤波器%非线性变换
濾波-x最小均方算法(FxLMS)%主動振動控製%遲擊譟聲%跟蹤微分濾波器%非線性變換
려파-x최소균방산법(FxLMS)%주동진동공제%충격조성%근종미분려파기%비선성변환
Filtered-x Least Mean Square(FxLMS)algorithm%Active Vibration Control(AVC)%impulsive noise%tracking-differentiator filter%non-linear transformation
FxLMS（Filtered-x Least Mean Square）算法在主动振动控制系统中有着广泛的应用，在实际系统中由于参考输入信号会混入诸如测量噪声、冲击噪声、野值等与参考信号不相关的干扰信号，这会导致系统更新稳定性性能变坏，甚至发散。针对这个问题，提出一种改进的FxLMS算法。新的算法利用跟踪微分滤波器和非线性变换函数分别对参考输入信号和反馈误差信号进行处理。同时，以滤波器更新向量的差值最小为优化条件推导出新的更新公式。通过在主动振动控制系统中与已有算法进行仿真比较，仿真结果证明在处于噪声干扰的情况下新的算法体现出更好的更新稳定性。
FxLMS（Filtered-x Least Mean Square）算法在主動振動控製繫統中有著廣汎的應用，在實際繫統中由于參攷輸入信號會混入諸如測量譟聲、遲擊譟聲、野值等與參攷信號不相關的榦擾信號，這會導緻繫統更新穩定性性能變壞，甚至髮散。針對這箇問題，提齣一種改進的FxLMS算法。新的算法利用跟蹤微分濾波器和非線性變換函數分彆對參攷輸入信號和反饋誤差信號進行處理。同時，以濾波器更新嚮量的差值最小為優化條件推導齣新的更新公式。通過在主動振動控製繫統中與已有算法進行倣真比較，倣真結果證明在處于譟聲榦擾的情況下新的算法體現齣更好的更新穩定性。
FxLMS（Filtered-x Least Mean Square）산법재주동진동공제계통중유착엄범적응용，재실제계통중유우삼고수입신호회혼입제여측량조성、충격조성、야치등여삼고신호불상관적간우신호，저회도치계통경신은정성성능변배，심지발산。침대저개문제，제출일충개진적FxLMS산법。신적산법이용근종미분려파기화비선성변환함수분별대삼고수입신호화반궤오차신호진행처리。동시，이려파기경신향량적차치최소위우화조건추도출신적경신공식。통과재주동진동공제계통중여이유산법진행방진비교，방진결과증명재처우조성간우적정황하신적산법체현출경호적경신은정성。
FxLMS(Filtered-x Least Mean Square)has been used widely in AVC(Active Vibration Control)system. In practice, the signal produced by the sensors contains not only the signal but also interference, such as measurement noise or burst noise, which deteriorate the AVC system. In order to solve this problem, a new robust filtered-x LMS algorithm is proposed. A Tracking-Differentiator filter and a non-linear transformation function are designed to process the reference and error signals respectively. The updating formula of the filter coefficients in the proposed algorithm is derived from a new minimization criterion that minimizes the Euclidean norm of difference between the currently innovation vector and past vector. Compared with the existing algorithms, the proposed algorithm is more robust against interference to reference signals. Numerical simulation results show the effectiveness of the algorithm.
