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Search / Korean Journal of Chemical Engineering
HWAHAK KONGHAK,
Vol.39, No.2, 163-175, 2001
웨이브렛 변환을 이용한 시스템 식별에 관한 연구
A Study on System Identification Using Wavelet Transformation
백욱진, 한정우, 강성주, 정창복
후리에(Fourier) 변환의 단점을 극복하고자 개발된 웨이브렛(wavelet) 변환은 여러 연구분야(de-noising, 자료압축, 편미분 방정식의 해석 등)에서 다양한 용도로 활용되고 있다. 그 중 de-noising은 웨이브렛 변환의 대표적인 응용분야 중의 하나로서 최근 활발한 연구가 진행되고 있다. De-noising 효과는 사용하는 shrinkage 함수와 이에 적용되는 threshold 값을 선택하는 방법에 달려있다. 본 연구에서는 서로 다른 특성을 갖는 신호와 잡음의 크기에 따라 여러 threshold 알고리듬을 적용시킨 결과를 서로 비교하고, 그 응용으로 de-noising의 여러 알고리듬을 이용하여 잡음을 제거한 신호와 그렇지 않은 신호를 시스템 식별(system identification)에 적용시켜 그 성능을 서로 비교하였다.
The wavelet transformation, which was developed in order to overcome the defects of traditional Fourier transformation, is applied to many fields of study in various ways-for example, de-noising, data compression and mathematic applications such as solving partial differential equations, etc. De-noising is one of the main application areas of the wavelet transformation and has been studied by many researchers. The effect of de-noising depends upon the shrinkage function and the method of choosing the threshold value for the function. The objective of this work is to analyze the results of applying various threshold algorithms according to characteristics for signals and noise level. By applying the de-noising to the system identification, we compared the performances of signals which went through the de-noising process with those of signals without de-noising.
Keywords: Wavelet; De-noising; Shrinkage; Threshold; System Identification
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