f-x域Cadzow滤波随机噪声衰减及其局限性分析
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摘要
基于信号在频率-空间域(f-x域)的线性可预测性,Cadzow滤波将地震数据变换到频率域,由每一个频率切片构建Hankel矩阵,进行SVD分解,重构地震信号。利用多组模型数据,对Cadzow滤波的去噪能力及局限性进行试验分析。试验表明,f-x域Cadzow滤波在处理线性同相轴时,表现出很好的去噪能力与保幅性能。但是,当地震记录中存在高能量突发噪声、弯曲同相轴和断层时,该方法可能产生去噪假象。
Based on linear prediction of signals in f-x domain,f-x Cadzow filtering was used to transform the seismic data into f-x domain,and a frequency slice was arbitary but fixed frequency was extracted to construct a Hankel matrix,in which sigular value was decomposed(SVD) and applied to separate signal from noise.Many groups of numerical data are used to analyze the denoising capability and limitations of Cadzow filtering.Tests show that Cadzow filtering greatly removes random noise and preserves the signal when treating linear events.However,it is limited when treating data with spike signal,fault and hyperbolic event.
引文
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