[ANVA94] Anvar, A. M.; Kuhnell, B. T., "Comparison of classification parameter techniques using displacement domain signals for internal combustion engine fault diagnosis (Part 1)", Condition Monitoring and Diagnostic Engineering Management, Proceedings of COMADEM 94, pp.344-352, September 26-29, 1994.

[BURN95] Burnett, R.; Watson, J.F.; Elder, S., "Application of modern signal processing techniques for rotor fault detection and location within three-phase induction motors", Conference Record-Instrumentation and Measurement Technology Conference 1995, IEEE, Piscataway, NJ, USA, pp. 426-431, 1995.

[CIZE85] Cizek, V. , "Methods of Computation of Discrete Fourier Transforms. In: Anonymous Disctrete Fourier Transforms and their Applications, pp. 98-120, 1985. Bristol: Adam Hilger Ltd.

[DAUB88] Daubechies, I., "Orthonormal Bases of Compactly Supported Wavelets", Communication in Pure and Applied Mathematics, Vol. 41, No. 7, pp. 909-996, 1988

[FORR96] Forrester, B.D., "Advanced Vibration Analysis Techniques for Fault Detection and Diagnosis in Geared Transmission Systems", PhD Thesis, pp.1-303.

[GABO46] Gabor, D., "Theory of Communication" Journal of Institute of Electrical Engineers, Vol. 93, pp. 429-457, 1946.

[HAAR10] Haar, A., :Zur Theorie der Orthogonalen Funktionen-systeme" [In german], Mathematics Analysis, Vol 69, pp. 331-371, 1910.

[KIM95] Kim, Y.W.; Rizzoni, G.; Samimy, B.; Wang, Y.Y., "Analysis and Processing of Shaft Angular Velocity Signals in Rotating Machinery for Diagnostic Applications", IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, Vol. 5, pp. 2971-2974, 1995.

[LEUR94] Leuridan, J.; Van der Auweraer, H.; Vold, H., "The Analysis of Nonstationary Dynamic Signals", Sound and Vibration Journal, pp.14-26, August 1994.

[LOPA94a] Lopatinskaia, E., Zhu, J., Mathew, J. and Mathew, J. "Varying speed machinery monitoring. Part1: The use of non-stationary recursive filters." Centre for Machine Condition Monitoring Research Bulletin, Monash University Vol. 6, pp. 27-38, 1994.

[LOPA94b] Lopatinskaia, E., Zhu, J. and Mathew, J. Varying speed machinery monitoring. Part II: Using recursive filtering and the angle domain. Centre for Machine Condition Monitoring Research Bulletin Vol. 6, pp. 39-48, 1994.

[MALL89] Mallat, S., "A Theory for Multi-resolution Signal Decomposition: The Wavelet Representation", IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol 11, No. 7, pp. 674-693, July 1989.

[McFA86] McFadden, P. D., "Interpolation Techniques for the Time Domain Averaging of Vibration Data with Application to Helicopter Gearbox Monitoring", Commonwealth of Australia, 1986

[MECH94] Mechefske, J., "Parametric Spectral Estimation for use in Condition Monitoring", Condition Monitoring Frontiers, Centre for Machine Condition Monitoring, Monash University, pp.205-218, November 1995.

[MEYE92] Meyer, Y., "Wavelets and Operators", Cambridge University Press, 1992.

[MISI96] Misiti, M., Misiti, Y., Oppenheim, G. and Poggi, J.M. The MATHS WORKS Inc. (Ed.) Wavelet Toolbox, The Math Works Inc.

[RIZZ93] Rizzoni, G; Chen, X. C., "Detection of Internal Combustion Engine Knock using Time-Frequency Distributions", Midwest Symposium on Circuits and Systems, Vol. 1, pp. 360-363, 1993.

[SWAM95] Swami, M.; Mendel, J.M.; Nikias, C.L., "Higher-Order Spectral Analysis Toolbox", 2nd edition., pp. 1.1-2.112. The MATH WORKS Inc., 1996.

[TAN89] Tan, C. N.; Mathew, J., "Monitoring the Vibrations of Variable Speed Gearboxes", Research Bulletin, Machine Condition Monitoring, Vol 1, No. 1, pp.7.1-7.9, October 1989.

[TAKE94] Takeda, F., "New real time signal analysis with wavelets and its possible appication to diagnosing the running condition of vehicles on wheels", JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Manufacturing, Vol. 37, No. 3, pp. 549-558, September 1994.

[VIDA91] Vidakovic, B.; Müller, P., "Wavelets for Kids", Wavelet Resources, Duke University, Internet Document 1-26.

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[WANG95] Wang, W.J.; McFadden, P.D., "Early detection of gear damage from abnormal transients in the gearbox vibration signal using DWPA", 1995.

[WU95] Wu, Y.; Du, R., "Chatter monitoring in turning and tool wear monitoring in drilling using DWPA", 1995.

[ZHEN94a] Zhengjia, H. ; Jiyuan, Z.; Qingfeng, M.; Yiming, N., " Wavelet Transform in Tandem with Autorgressive Technique for Monitoring and Diagnosis of Machinery", Condition Monitoring and Diagnostic Engineering Management, Proceedings of COMADEM 94, pp.204-211, September 26-29, 1994.

[ZHEN94b] Zhengjia, H. ; Jiyuan, Z.; Qingfeng, M.; Yiming, N., " Case study of the time-frequency analysis for diagnostic rotating machinery", Condition Monitoring and Diagnostic Engineering Management, Proceedings of COMADEM 94, pp458-465, September 26-29, 1994.

Wavelet Bibliography

This is following is a listing of some of the wavelet based books and journal articles, as well as internet sites and software packages that I have found useful during the formative stages of my research.

General Books

[CHAN95] Chan, Y.T., "Wavelet basics",Boston : Kluwer Academic Publihsers, c1995.

[DAUB92] Daubechies, I., "Ten lectures on wavelets", Philadelphia, Pa. : Society for Industrial and Applied Mathematics, 1992.

[KAIS94] Kaiser, G., "A friendly guide to wavelets", Boston : Birkhauser, 1994.

[MEYE92] Meyer, Y., "Wavelets and Operators", Cambridge University Press, 1992.

[MEYE93] Meyer, Y., "Wavelets: algorithms & applications", Philadelphia: Society for Industrial and Applied Mathematics, 1993.

[NEWL93] Newland, D.E., "An Introduction to Random Vibrations, Spectral & Wavelet Analysis", Third Edition , pp. 295-370., 1993.

[WICK94] Wickerhauser, M.V., "Adapted Wavelet Analysis from Theory to Software", 1994.

[STRA96] Strang, G.; Nguyen, T., "Wavelets and Filter Banks", Wellesley-Cambridge Press, 1996.

Journal Articles

[ALKI95] Alkin, O.; Caglar, H., "Design of Efficient M-Band Coders with Linear-Phase and Perfect-Reconstruction Properties", IEEE Transactions on Signal Processing 43 (7), pp.1579-1590.

[ALTM95] Altmann, J.; Mathew, J., "Wavelets: An Emerging Force in Condition Monitoring", MCM Research Bulletin Vol. 7, pp. 9.1-9.6.

[CODY92] Cody, M.A., "The Fast Wavelet Transform", Dr. Dobb's Journal pp.16-26, 1992.

[CODY93] Cody, M.A., "A Wavelet Analyzer", Dr. Dobb's Journal pp.44-54, 1993.

[CODY94] Cody, M.A., "The Wavelet Packet Transform", Dr. Dobb's Journal pp.44-54, 1994.

[DAUB90] Daubechies, I., The Wavelet Transform, Time Frequency Localization and Signal Analysis. IEEE Transactions on Information Theory 36 (5):961-1005.

[HLAW92] Hlawatsch, F. and Boudreaux-Bartels, G.F. (1992) Linear and Quadratic Time-Frequency Signal Representations. IEEE Signal Processing Magazine 21-67.

[LIN95] Lin, E.B. (1995) Multi-Dimensional Wavelet Stieltjes Transforms. Computers and Mathematical Applications 30 (3-6):353-359.

[MANN95] Steve Mann and Simon Haykin (1995) The Chirplet Transform: Physical Considerations. IEEE Transactions on Signal Processing 43 (11):2745-2761.

[NEWL94] Newland, D.E. (1994) Wavelet Analysis of Vibration Part 1: Theory. Journal of Vibration and Acoustics 116 (4):409-425.

[ONUR95] Onural, L. (1995) Family of Scaling Chirp Functions, Diffraction, and Holography. IEEE Transactions on Signal Processing 43 (7):1571-1578.

[PAND93] Sudhakar, P. M.; Ghanashyam, A.; Debabrata, P., "Bearing defect detection using DDS and wavelet methods", Symposium on Mechatronics American Society of Mechanical Engineers, Dynamic Systems and Control Division, Vol. 50, pp. 285-293, 1993.

[PRES95] Prestin, J. and Sprengel, F. (1995) Multivariate Trigonometric Wavelet Decompositions. An International Journal Computers & Mathematics with Applications 30 (3-6):169-182.

[RIOU91] Rioul, O. and Vetterli, M. (1991) Wavelets and Signal Processing. IEEE Signal Processing Magazine 15-37.

[STRA95] Strang, G. and Strela, V. (1995) Short Wavelets and Matrix Dilation Equations. IEEE Transactions on Signal Processing 43 (1):108-115.