Time Delay Estimation using Wavelet Transform

웨이블릿 변환을 이용한 시간 지연 추정법

  • Kim Doh-Hyoung (Center for Noise and Vibration Control(NoViC), Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology) ;
  • Park Youngjin (Center for Noise and Vibration Control(NoViC), Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology)
  • 김도형 (한국과학기술원 기계공학과 소음 및 진동제어연구센터) ;
  • 박영진 (한국과학기술원 기계공학과 소음 및 진동제어연구센터)
  • Published : 2000.07.07

Abstract

A fast estimation method using wavelet transform for a time delay system is proposed. Main point of this method is to get the wavelet transform of the correlation between the input signal and delayed signal using transformed signals. But wavelet transform using Haar wavelet functions has basis with different phases and can offers a bisection method to estimate a time delay of a signal. Selective computation of the transform of correlation is performed and the computational complexity is reduced. Computational order of this method is O(N log N) and it is much love. than a simple correlation esimation when the length of signal is long.

Keywords