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单频干扰逼近误差分析

Keywords: 误差分析,频率误差,单频干扰误差,余弦函数逼近,正余弦函数逼近

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Abstract:

?在各种单频干扰识别与消除方法中,首先要准确估算出单频干扰的振幅、频率和时延三个参数,才能有效消除单频干扰。这三个参数的估算误差会引起单频干扰的估算误差。在余弦函数逼近中,由于频率和时延两个参数估算误差,可以引起振幅的计算误差和单频干扰的计算误差。而在正余弦函数逼近中,由于频率参数估算误差,可以引起正余弦函数振幅的计算误差和单频干扰的计算误差。为此本文定量计算了三个参数误差引起的单频干扰计算误差,以及频率、时延参数估算误差引起的振幅参数计算误差。理论和实际数据的单频干扰逼近误差分析结果表明:为准确估算余弦函数振幅和单频干扰,频率估算精度至少应为0.01hz,时延估算精度为0.1;准确估算正余弦函数振幅和单频干扰,频率估算精度至少应为0.01hz。

References

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[9]  刘洋.强工频干扰波的提取与消除方法[j].石油物探.2003,42(2):154-159
[10]  sauicer.a,marchantm,choutcaum.afastandac-curatefrequencyestimationmethodforcancelinghar-monknoiseingeophysicalrecords.geophysic、,2006,71(1):v7-v18
[11]  罗国安,高少武,魏庚雨等.chirp-z变换谱分析压制地震记录单频干扰[j].石油地球物理勘探.2009,44(2):166-172??浏览
[12]  高少武,赵波,贺振华等.基于余弦函数的自适应单频干扰消除.地球物理学进展,2009,24(5);1762-1767gaoshao-wu,zhaobo,hezhen-huaetal.elimina-tionofadaptivemono-frequencyinterferencebasedoncosinefunction.progressingeophysics,2009,24(5):1762-1767
[13]  高少武,罗国安,赵波等.利用线性调频谱法识别与消除单频干扰.石油地球物理勘探,2010,45(6);861-867gaoshao-wu,luoguo-an,zhaoboetal.utilizinglinearfrequencymodulationspectrummethodtoiden-tifyandremovesingle一[requcncyinterference.ogp,2010,45(6):861-867
[14]  高少武,赵波,祝树百等.余弦函数自适应法识别与消除单频干扰.石油地球物理勘探,2011,46(1);64-69gaoshao-wu,ghaobo,zhushu-yunetal,ldcntifi-canonandsuppressionofsinglefrequencyinterfer-encebyusingcosinefunctionadaptivemethod.ogp,2011,46(1):64-69

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