Abstract
This paper discusses and implements a simple technique to obtain the velocity and the displacement signals from the digital data of the MEMS accelerometer sensor, which is an acceleration signal. The method used is a numerical integral, i.e. discrete Fourier integral. Technically, the digital signal data from the MEMS accelerometer sensor is converted from time domain to frequency domain by using Discrete Fourier Transform (DFT). In the frequency domain, the acceleration signal component is integrated once to obtain its velocity components, and is integrated twice to obtain its displacement component. Furthermore, Invers Discrete Fourier Transform (IDFT) is performed to obtain the form of velocity and displacement signals in time domain. The application of these theories and methods gives quite good results, especially for low frequency signals recorded at high sampling rates.
Highlights
This paper discusses and implements a simple technique to obtain the velocity and the displacement signals from the digital data of the MEMS accelerometer sensor, which is an acceleration signal
the digital signal data from the MEMS accelerometer sensor is converted from time domain to frequency domain
especially for low frequency signals recorded at high sampling rates
Summary
Sebagaimana telah disebutkan di depan, bahwa data sinyal vibrasi (seismik) yang diukur dan direkam dengan MEMS accelerometer adalah sinyal percepatan, yang mana dalam hal ini berbentuk diskrit yang didapatkan dari proses sampling dari sinyal kontinyu. Sehingga himpunan dari elemen-elemen sinyal percepatan tersebut dapat dinyatakan dan ditulis sebagai {a(n)}, dengan n = 0,1,2,3...(N-1), dimana N adalah jumlah total dari jajaran sinyal diskrit. Merubah sinyal diskrit dari domain waktu ke domain frekuensi dapat dilakukan dengan transformasi Fourier diskrit (Discrete Fourier Transform, DFT) atau Fast Fourier Transform (FFT). Algoritma dari DFT (FD) adalah sebagai berikut: untuk sejumlah N data kompleks dalam domain waktu, nilai A(k) diberikan oleh [8]:. Sehingga besarnya nilai A(k) dan sudut fasenya , dapat dinyatakan dalam persamaan (6) dan (7), sebagai berikut:
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