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Unformatted text preview: e function estimate primarily by reduction of the leakage bias error due to the use of a longer time sample. The zoom fast Fourier transform by itself is a linear process and does not involve any speciﬁc error reduction characteristics compared to a baseband fast Fourier transform(FFT). Finally, the use of weighting functions(windows) is widespread and much has been written about their value [1-3,40-41]. Primarily, weighting functions compensate for the bias error (leakage) caused by the analysis procedure. 5.6 References
     Bendat, J.S.; Piersol, A.G., Random Data: Analysis and Measurement Procedures, John Wiley and Sons, Inc., New York, 1971, 407 pp. Bendat, J. S., Piersol, A. G., Engineering Applications of Correlation and Spectral Analysis, John Wiley and Sons, Inc., New York, 1980, 302 pp. Otnes, R.K., Enochson, L., Digital Time Series Analysis, John Wiley and Sons, Inc., New York, 1972, 467 pp. Hsu, H.P., Fourier Analysis, Simon and Schuster, 1970, 274 pp. Dally, J.W.; Riley, W.F.; McConnell, K.G., Instrumentation for Engineering Measurements, John Wiley & Sons, Inc., New York, 1984. (5-77) +UC-SDRL-RJA CN-20-263-663/664 Revision: June 12, 2001 +      Strang, G., Linear Algebra and Its Applications, Third Edition, Harcourt Brace Jovanovich Publishers, San Diego, 1988, 505 pp. Lawson, C.L., Hanson, R.J., Solving Least Squares Problems, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1974, 340 pp. Jolliffe, I.T., Principal Component Analysis Springer-Verlag New York, Inc., 1986, 271 pp. Akaike, H., "On the Statistic Estimation of the Frequency Response Function of a System Having Multiple Inputs", Annals of the Institute of Statistical Mathematics, Volume 17, Number 2, 1965. Carter, G.C.; Knapp, C.H.; Nuttall, A.H., "Estimation of the Magnitude-Squared Coherence Function Via Overlapped Fast Fourier Transform Processing", IEEE Transactions on Audio and Electroacoustics, August 1973, pp. 337-344. Wada, B. K., "Modal Test - Measurement and Analysis Requirements", SAE Paper Number 751066, 1975, 17 pp. Ramsey, K. A.; Richardson, M., "Making Effective Transfer Function Measurements for Modal Analysis", Hewlett-Packard Co., 1975. Ramsey, K., "Effective Measurements for Structural Dynamics Testing: Part I", Sound and Vibration, November, 1975. Ramsey, K., "Effective Measurements for Structural Dynamics Testing: Part II", Sound and Vibration, April, 1976. Potter, R. W., "Matrix Formulation of Multiple and Partial Coherence", Journal of the Acoustic Society of America, Volume 66, Number 3, March 1977, pp. 776-781. Dodds, C.J., Robson, J.D., "Partial Coherence in Multivariate Random Processing", Journal of Sound and Vibration, Volume 42, Number 2, 1975, pp. 243-249. Ewins, D.J., Grifﬁn, J., "A State-of-the-Art Assessment of Mobility Measurement Techniques - Results for the Mid-Range Structures", Journal of Sound and Vibrati...
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This note was uploaded on 09/29/2013 for the course MECHANICAL ME taught by Professor Regalla during the Fall '11 term at Birla Institute of Technology & Science, Pilani - Hyderabad.
- Fall '11