고차의 미분에너지함수를 이용한 주파수 및 진폭성분 추출 알고리즘과 응용

Frequency/Amplitude Separation Algorithm Using the Higher Order Differential Energy Operator and Its Application

  • 임병관 (강릉대 공대 전자공학과)
  • 발행 : 2007.08.01

초록

There have been many different definitions of energy functions as the second statistics of a signal. In this paper, using the higher order differential energy function, we propose an algorithm separating the amplitude and frequency components in a discrete sinusoidal signal. The proposed amplitude and frequency estimation methods have less computational requirement than the existing methods. It also shows large computational advantage over the root mean square (RMS) calculation of a signal. The proposed methods can be used in the detection of abnormal events in signals on the power line. Computer simulations show that proposed frequency estimation method can detect the presence of voltage increase or decrease for a short period of time. Also, the proposed estimation methods have been compared with existing methods in terms of estimation error variance.

키워드

참고문헌

  1. F. Hlawatsch and G. F. Boudreaux-Bartels, 'Linear and quadratic time-frequency signal representations,' IEEE Signal Processing Magazine, vol. 19, pp. 21-67, Apr. 1992
  2. B. Boashash, 'Estimating and interpreting the instantaneous frequency of 'a signal-Part 2: algorithms and applications,' Proc. of the IEEE , vol. 80, pp. 540-568, Apr. 1992 https://doi.org/10.1109/5.135378
  3. P. Maragos, J. F. Kaiser, and T. F. Quatieri, 'On amplitude and frequency demodulation using energy operators,' IEEE Trans. Signal Processing, vol. 41, pp. 1532-1550, Apr. 1993 https://doi.org/10.1109/78.212729
  4. P. Maragos, J. F. Kaiser, and T. F. Quatieri, 'Energy separation in signal modulations with application to speech analysis,' IEEE Trans. Signal Processing, vol. 41, pp. 3024-3051, Oct. 1993 https://doi.org/10.1109/78.277799
  5. H. M. Teager , 'Some observations on oral air flow during phonation,' IEEE Trans. Acoustics, Speech Signal Processing, vol. 28, no. 5, pp. 599-601, Oct., 1980 https://doi.org/10.1109/TASSP.1980.1163453
  6. B. Iem, ' Instantaneous Frequency Estimators as Voltage Disturbance Detectors,' Proc. of 2006 IEEE Power Systems Conference and Exposition, pp. 2225-2228, Oct. 2006
  7. P. Maragos, and A. Potamianos, 'Higher order differential energy operators,' IEEE Signal Processing Letters, vol. 2, pp. 152-154, Aug. 1995 https://doi.org/10.1109/97.404130
  8. A. A. Sagle and R. E. Walde, Introduction to Lie Groups and Lie Algebras, Academic Press, 1989
  9. L. B. Fertig and J. H. McClellan, 'Instantaneous frequency estimation using linear prediction with comparisons to the DESAs,' IEEE Signal Processing Letters, vol. 3, pp. 54-56, Feb. 1996 https://doi.org/10.1109/97.484216
  10. S. Santoso, E. J. Powers, and W. M. Grady, 'Electric power quality disturbance detection using wavelet transform analysis,' in Proc. 1994 IEEE TF/TS Analysis Symposium, pp. 166-169, 1994