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Filter Design of Eight Order Butterworth Infinite Impulse Response for Earthquake Sign

机译:八阶巴特沃斯无限脉冲响应滤波器设计

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Filtering is an important procedure in modem seismology analysis to obtain the best quality result in advanced process. There are many programs of signal processing consisting of signal filtering features, for example Seismic Analysis Code (SAC). Unfortunately, the basic mathematical equations in signal processing are not explained in detail. This research has purposes to design a Butterworth filter and to examine the influence of increasing order on the arrival time, polarity, and first motion amplitude of seismic wave. Filter design was done by computing eight order lowpass analog transfer functions and transforming them into lowpass, highpass, and bandpass digital using bilinear transformation so we have recursive and causal filters. The designed filter was then validated by the result of SAC. Based on the research we have found that the method and algorithm of designed filter are consistent with SAC. Increasing filter order can clarify the phases of seismic wave positions. On the other hand, it can influence the phase delay and impulse attenuation of seismic waves. The implication of this effects are error on computation of earthquake parameter and source mechanism. Filter instability due to increasing order will quickly occur if the cutoff frequency range is short or the sampling frequency is high. An appropriate passband frequency at low filter order can optimally generate earthquake filtered waves.
机译:过滤是调制解调器地震学分析中的一个重要过程,以获得高级过程的最佳质量结果。由信号滤波特征组成的信号处理有许多程序,例如地震分析代码(SAC)。不幸的是,不详细解释信号处理中的基本数学方程。该研究具有设计Butterworth滤波器的目的,并检验增加顺序对壁垒波的到达时间,极性和第一运动幅度的影响。过滤器设计是通过计算八阶低通模拟传输功能并将其转换为低通,高通和带通数字使用双线性转换,因此我们具有递归和因果滤波器。然后通过囊的结果验证设计的过滤器。基于研究,我们发现设计过滤器的方法和算法与囊一致。增加过滤器顺序可以阐明地震波位置的阶段。另一方面,它可以影响地震波的相位延迟和脉冲衰减。这种效果的含义是关于地震参数和源机制的计算的误差。如果截止频率范围短或采样频率高,则会快速发生由于顺序增加而导致的过滤器不稳定性。低滤波器顺序的适当通带频率可以最佳地产生地震过滤波。

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