提取准双周和准一月低频振荡的Lanczos滤波器及其应用

根据青藏高原大气热源季内振荡分析的实际需要,设计了适于提取准双周（10～20d）、准一月（20～40d）振荡的Lanczos滤波器（L.f.）。通过与Butterworth滤波器（B.f.）滤波效果的定量分析,确定了准双周、准一月L.f.窗宽参数l的临界值l0分别为24、46;当l≥l0时,L.f.滤波器性能全面优于B.f.。选用拉萨附近格点（90°E,30°N）的1950—2006年整层大气热源资料做了应用试验,结果表明,由l=121的L.f.得到的拉萨夏季准双周、准一月振荡分量质量可靠,可用于青藏高原大气热源季内振荡强度的年际差异和季内过程分析。

Lanczos filter suitable for filtering quasi-two-week and quasi-one-month oscillations and its applications

For the actual demand of analyzing intraseasonal oscillation of atmospheric heat source over the Tibetan Plateau,this paper devises Lanczos filter suitable for filtering quasi-two-week（10—20 d） and quasi-one-month（20—40 d） oscillations.By using the quantitative analysis and comparing with the filtering effect of Butterworth filter,the critical values l0 of window width parameter l of quasi-two week and quasi-one month Lanczos filter are determined as 24 and 46,respectively.The filtering capability of Lanczos filter is better than that of Butterworth filter when l is greater than or equal to l0.The whole atmospheric heat source data of the grid point（30°N,90°E） near Lhasa from 1950 to 2006 are used for test.Results indicate that,filtered by Lanczos filter with its parameter l being equal to 121,the quasi-two week and the quasi-one month components are dependable and can be used to analyze interannual difference and intraseasonal process of intraseasonal oscillation intensity of atmospheric heat source over the Tibetan Plateau.