Soner Bekleric Title of Thesis: Nonlinear Prediction via Volterra Ser

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BIBLIOGRAPHY 97 Gulunay, N. (1986). Fxdecon and complex wiener prediction filter. Expanded Abstract, 56th Annual SEG Meeting, Houston, 279–281. Gurley, K. R., A. Kareem, and M. A. Tognarelli (1996). Simulation of a class of non- normal random processes. International Journal of Non-linear Mechanics 31 (5), 601–617. Hargreaves, N., B. VerWest, R. Wombell, and D. Trad (2003). Multiple attenuation using an apex-shifted radon transform. Expanded Abstract, 67th Ann. Internat Mtg. SEG, 1929–1932. Kellman, P., P. vanGelderen, J. A[], de Zwart, and J. H. Duynb (2003). Method for functional mri mapping of nonlinear response. NeuroImage 19, 190–199. Kim, K., S. B. Kim, E. J. Powers, R. W. Miksad, and F. J. Fischer (1994). Adaptive second-order volterra filtering and its application to second-order drift phenom- ena. IEEE Journal of Oceanic Engineering 19 (2), 183–192. Koh, T. and E. J. Powers (1985). Second-order volterra filtering and its application to nonlinear system identification. IEEE Transactions on Acoustics, Speech, and Signal Processing ASSP-33 (6), 1445–1455. LeCaillec, J. M. and R. Garello (2004). Comparison of statistical indices using third order statistics for nonlinearity detection. Signal Processing 84, 499–525. Lines, L. R. and S. Treitel (1984). Tutorial: a review of least-squares inversion and its application to geophysical problems. Geophysical Prospecting 32 (2), 156–186. Makhoul, J. (1975). Linear prediction: A tutorial review. Proceedings of the IEEE 63 (4), 561–580.
BIBLIOGRAPHY 98 Marple, S. L. (1980). A new autoregressive spectrum analysis algorithm. IEEE Transactions on Acoustics, Speech, and Signal Processing ASSP-28 (4), 441–454. Marple, S. L. (1987). Digital Spectral Analysis with Applications. Englewood Cliffs, NJ: Prentice-Hall, Inc. Menke, W. (1989). Geophysical Data Analysis: Discrete Inverse Theory. Academic Press, Inc., San Diego, CA. Naghizadeh, M. and M. D. Sacchi (2007). Multistep autoregressive reconstruction of seismic records. Geophysics 72 (6), V111–V118. Nam, S. W. and E. J. Powers (1994). Application of higher order spectral analysis to cubically nonlinear system identification. IEEE Transactions on Signal Processing 42 (7), 1746–1765. Nikias, C. L. and J. M. Mendel (1993). Signal processing with higher-order spectra. IEEE Signal Processing Magazine 07, 10–37. Oppenheim, A. V. and R. W. Schafer (1989). Discrete-Time Signal Processing. Prentice-Hall, Upper Saddle River-NJ. Powers, E. J., S. Nam, and S. B. Kim (1990). Adaptive algorithms for the frequency-domain identification of a second-order volterra system with random input. IEEE Spectrum Estimation and Modeling, Fifth ASSP Workshop on 10-12 Oct 1990 ASSP-5, 25–29. Powers, E. J., I. S. Park, S. Mehta, and E. J. Yi (1997). Higher-order statistics and extreme waves. Higher-Order Statistics, 1997. Proceedings of the IEEE Signal Processing Workshop, 98–102.
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Name of Author: Soner Bekleric Univ
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University of Alberta Faculty of Gr
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Abstract Linear filter theory has p
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Contents 1 Introduction 1 1.1 Appli
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List of Tables 3.1 Filter length an
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4.4 (a) Prediction of Figure 4.2(b)
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List of symbols Symbol Name or desc
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List of abbreviations Abbreviation
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In applied seismology predictive de
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1.1. APPLICATIONS 4 applied to vide
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1.3. THESIS OUTLINE 6 • Chapter 4
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2.2. LINEAR PROCESS 8 Finally, I pr
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2.3. LINEAR PREDICTION 10 E(z) 1 X(
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2.3. LINEAR PREDICTION 12 In my the
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2.3. LINEAR PREDICTION 14 which can
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2.3. LINEAR PREDICTION 16 ∂ρ fb
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2.3. LINEAR PREDICTION 18 I have an
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2.4. 1-D SYNTHETIC AND REAL DATA EX
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2.6. SUMMARY 24 Relative PSD Relati
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Chapter 3 Nonlinear Prediction 3.1
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3.1. NONLINEAR PROCESSES VIA THE VO
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3.1. NONLINEAR PROCESSES VIA THE VO
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3.2. NONLINEAR MODELING OF TIME SER
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Page 61 and 62: 3.4. SUMMARY 46 3.4 Summary In this
Page 63 and 64: 4.1. LINEAR PREDICTION IN THE F −
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Page 73 and 74: RMSE 2 4.3. NONLINEAR PREDICTION OF
Page 77 and 78: 4.4. NOISE REMOVAL AND VOLTERRA SER
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Page 91 and 92: 5.1. INTRODUCTION 76 ples remains a
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Page 97 and 98: 5.3. SYNTHETIC DATA EXAMPLES 82 Tim
Page 99 and 100: 5.4. REAL DATA EXAMPLES 84 Time [s]
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Page 109 and 110: 6.1. FUTURE DIRECTIONS 94 Noise red
Page 111: BIBLIOGRAPHY 96 Canales, L. L. (198
Page 115 and 116: BIBLIOGRAPHY 100 Trad, D. (2003). I
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Soner Bekleric Title of Thesis: Nonlinear Prediction via Volterra Ser

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