These notes are drawn from two Technical Reports: 008/83 "Methods and Applications of Digital Spectral Techniques" and 009/83 "Theory and Statistical Accuracy of Spectral Analysis", prepared by Dr. P.E. Wellstead for Solartron Instruments, Victoria Road, Farnborough, Hampshire, GU14 7PW, England.
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6. References
J.S. Bendat and A.G. Piersol (1971). "Random Data: Analysis and Measurement Procedures", Wiley.
V. Benignus (1969). "Estimation of the coherence spectrum and its confidence interval using the Fast Fourier Transform", I.E.E.E. Trans., AU-17, pp. 145–150. (See also pp. 198–201). (Discusses statistical aspects of coherency).
B.P. Bogert, M.J. Healy and J.W. Tukey (1963). "The quefrency analysis of time series of echoes", in "Time-Series Analysis" (M. Rosenblatt, ed.), Wiley. (The original work on cepstrum analysis).
D.G. Childers, D.P. Skinner and R.C. Kemerait (1977). "The Cepstrum: a guide to processing", Proc. I.E.E.E., 65, pp. 1428–1443. (Review paper, including the few useful results existing on statistical analysis of accuracy of cepstral estimates).
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F.J. Harris (1978). "On the use of windows for harmonic analysis with the Discrete Fourier Transform", Proc. I.E.E.E., 66, pp. 51–83. (Discusses in detail the techniques of windowing in Fourier analysis).
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L.R. Rabiner and C.M. Rader (eds.). (1972). "Digital Signal Processing", I.E.E.E. Press. (A collection of papers discussing such topics as the equivalence between the discrete and continuous Fourier transforms, circular convolution and FFT algorithms derived from the work of Cooley and Tukey).
P.D. Welch (1967). "The use of Fast Fourier Transforms for the estimation of power spectra", I.E.E.E. Trans. AU-15, pp. 70–73. (Includes discussion of the effects of overlapping data blocks).
P.E. Wellstead (1975). "Signal aliassing in system identification", Int. Jnl. Control, 22, pp. 363–375. (Discusses the problems of aliassing and associated spectral estimation errors).
P.E. Wellstead (1977). "Reference signals in closed loop identification", Int. Jnl. Control, 26, pp. 945–962. (Discusses the statistical accuracy of the frequency response estimator computed from power and cross-spectrum estimates).
P.E. Wellstead (1984a). "Methods and applications of digital spectral techniques", Solartron Instruments Technical Report 008/83. (See footnote on page 210).
P.E. Wellstead (1984b). "Theory and statistical accuracy of spectral analysis", Solartron Instruments Technical Report 009/83. (See footnote on page 210).
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© 1986 Springer-Verlag
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Wellstead, P.E. (1986). Spectral analysis and applications. In: Godfrey, K., Jones, P. (eds) Signal Processing for Control. Lecture Notes in Control and Information Sciences, vol 79. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008193
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DOI: https://doi.org/10.1007/BFb0008193
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