振动工程学报
振動工程學報
진동공정학보
JOURNAL OF VIBRATION ENGINEERING
2009年
6期
659-664
,共6页
频谱%频谱校正%能量重心%信号处理
頻譜%頻譜校正%能量重心%信號處理
빈보%빈보교정%능량중심%신호처리
spectrum%spectrum corrections energy controbaric%signal processing
在对比离散频谱能量重心法采用不同点数时的频率、幅值和相位校正精度的基础上提出了4点能量重心校正法,推导了高斯白噪声背景下单频率谐波信号采用4点能量重心法进行频率、幅值和相位校正的统计方差公式,通过仿真计算验证了其正确性.分析对比了采用不同点数进行能量重心校正时的优缺点,建议在工程中采用Han-ning窗4点能量重心法进行谐波信号离散频谱校正.
在對比離散頻譜能量重心法採用不同點數時的頻率、幅值和相位校正精度的基礎上提齣瞭4點能量重心校正法,推導瞭高斯白譟聲揹景下單頻率諧波信號採用4點能量重心法進行頻率、幅值和相位校正的統計方差公式,通過倣真計算驗證瞭其正確性.分析對比瞭採用不同點數進行能量重心校正時的優缺點,建議在工程中採用Han-ning窗4點能量重心法進行諧波信號離散頻譜校正.
재대비리산빈보능량중심법채용불동점수시적빈솔、폭치화상위교정정도적기출상제출료4점능량중심교정법,추도료고사백조성배경하단빈솔해파신호채용4점능량중심법진행빈솔、폭치화상위교정적통계방차공식,통과방진계산험증료기정학성.분석대비료채용불동점수진행능량중심교정시적우결점,건의재공정중채용Han-ning창4점능량중심법진행해파신호리산빈보교정.
The energy centrobaric correction method is based on the fact that energy center of symmetric window function is the center frequency of the window in discrete spectrum analysis. Since the Hanning window energy is mainly concentrated on the main-lobe, an approach of utilizing 4 spectral samples in the main-lobe of the Hanning window to correct spectral parameters is proposed. Analytical expressions of the estimator variances for frequency, amplitude and phase correction are derived; and simulation results confirm the validity of the presented method. The properties of utilizing different quantity of spectral lines in the energy centrobaric correction are analyzed with respect to their noise sensitivity. Comparing with those using 3 or 5 spectral samples in the main-lobe of the Hanning window, the method of utilizing 4 spectral samples provides superior accuracy in parameters estimation, which is more practical in engineering application.