Browse > Article

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

Iem, Byeong-Gwan (강릉대 공대 전자공학과)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.56, no.8, 2007 , pp. 1498-1502 More about this Journal
Abstract
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.
Keywords
Instantaneous Frequency/Amplitude;
Citations & Related Records

Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 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   DOI   ScienceOn
2 P. Maragos, and A. Potamianos, 'Higher order differential energy operators,' IEEE Signal Processing Letters, vol. 2, pp. 152-154, Aug. 1995   DOI   ScienceOn
3 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   DOI   ScienceOn
4 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
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   DOI
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 A. A. Sagle and R. E. Walde, Introduction to Lie Groups and Lie Algebras, Academic Press, 1989
8 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
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   DOI   ScienceOn
10 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   DOI   ScienceOn