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Module by: C. Sidney Burrus. E-mail the author

[AAEG89] F. Argoul, A. Arneodo, J. Elezgaray, and G. Grasseau. Wavelet transform of fractal aggregates. Physics Letters A., 135:327–336, March 1989.

[AAU96] Akram Aldroubi, Patrice Abry, and Michael Unser. Construction of biorthogonal wavelets starting from any two multiresolutions. preprint, 1996.

[AH92] A. N. Akansu and R. A. Haddad. Multiresolution Signal Decomposition, Transforms, Sub- bands, and Wavelets. Academic Press, San Diego, CA, 1992.

[AKM90] Louis Auslander, Tom Kailath, and Sanjoy K. Mitter, editors. Signal Processing, Part I: Signal Processing Theory. Springer-Verlag, New York, 1990. IMA Volume 22, lectures from IMA program, July 1988.

[Ald96] A. Aldroubi. Oblique and Hierarchical Multiwavelet Bases. Technical Report, National Institutes of Health, December 1996.

[Alp93] B. Alpert. A class of bases in l^2 for the sparce representation of integral operators. SIAM J. Math. Analysis, 24, 1993.

[AS96] Ali N. Akansu and Mark J. T. Smith. Subband and Wavelet Transforms, Design and Applications. Kluwer Academic Publishers, Boston, 1996.

[AU96] Akram Aldroubi and Michael Unser, editors. Wavelets in Medicine and Biology. CRC Press, Boca Raton, 1996.

[Aus89] P. Auscher. Ondelettes fractales et applications. PhD thesis, 1989.

[AWW92] P. Auscher, G. Weiss, and M. V. Wickerhauser. Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets. In C. K. Chui, editor, Wavelets: A Tutorial in Theory and Applications, pages 15–51, Academic Press, 1992. Volume 2 in series on Wavelet Analysis and its Applications.

[BBH93] J. N. Bradley, C. M. Brislawn, and T. Hopper. The FBI wavelet/scalar quantization standard for gray-scale fingerprint image compression. In Visual Info. Process. II, SPIE, Orlando, FL, April 1993.

[BBOH96] C. M. Brislawn, J. N. Bradley, R. J. Onyshczak, and T. Hopper. The FBI compression standard for digitized fingerprint images. In Proceedings of the SPIE Conference 2847, Applications of Digital Image Processing XIX, 1996.

[BC92] S. Basu and C. Chiang. Complete parameterization of two dimensional orthonormal wavelets. In Proceedings of IEEE-SP Symposium on Time-Frequency and Time-Scale Methods ’92, Victoria, BC, IEEE, 1992.

[BCG94] Jonathan Berger, Ronald R. Coifman, and Maxim J. Goldberg. Removing noise from music using local trigonometric bases and wavelet packets. Journal of the Audio Engineering Society, 42(10):808–817, October 1994.

[BCR91] G. Beylkin, R. R. Coifman, and V. Rokhlin. Fast wavelet transforms and numerical algorithms I. Communications on Pure and Applied Mathematics, 44:141–183, 1991.

[BCR92] G. Beylkin, R. R. Coifman, and V. Rokhlin. Wavelets in numerical analysis. In M. B. Ruskai, G. Beylkin, I. Daubechies, Y. Meyer, R. Coifman, S. Mallat, and L Raphael, editors, Wavelets and Their Applications, pages 181–210, Jones and Bartlett, Boston, 1992. Outgrowth of the NSF/CBMS Conference on Wavelets, Lowell, June 1990.

[BCW90] T. C. Bell, J. G. Cleary, and I. H. Witten. Text Compression. Prentice Hall, N.J., 1990.

[BDG96] Andrew Brice, David Donoho, and Hong-Ye Gao. Waveler Anaalysis. IEEE Spectrum, 33(10):26–35, October 1996.

[BDGM94] A. G. Bruce, D. L. Donoho, H.-Y. Gao, and R. D. Martin. Denoising and robust nonlinear wavelet analysis. In Proceedings of Conference on Wavelet Applications, pages 325–336, SPIE, Orlando, FL, April 1994.

[BE93] F. Bao and Nurgun Erdol. On the discrete wavelet transform and shiftability. In Proceedings of the Asilomar Conference on Signals, Systems and Computers, pages 1442–1445, Pacific Grove, CA, November 1993.

[BE94] F. Bao and N. Erdol. The optimal wavelet transform and translation invariance. In Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, pages III:13–16, ICASSP-94, Adelaide, May 1994.

[Bey92] G. Beylkin. On the representation of operators in bases of compactly supported wavelets. SIAM Journal on Numerical Analysis, 29(6):1716–1740, December 1992.

[Bey94] G. Beylkin. On wavelet-based algorithms for solving differential equations. In John J. Benedetto and Michael W. Frazier, editors, Wavelets: Mathematics and Applications, pages 449–466, CRC Press, Boca Raton, 1994.

[Bey97] Gregory Beylkin. An adaptive pseudo-wavelet approach for solving nonlinear partial differential equations. In W. Dahmen, A. Kurdila, and P. Oswald, editors, Multiscale Wavelet Methods for Partial Differential Equations, Academic Press, San Diego, 1997. Volume 6 in the series: Wavelet Analysis and Applications.

[BF93] John J. Benedetto and Michael W. Frazier, editors. Wavelets: Mathematics and Applications. CRC Press, Boca Raton, FL, 1993.

[BK97] Gregory Beylkin and James M Keiser. On the adaptive nomerical solution of nonlinear partial differential equations in wavelet bases. Journal of Computational Physics, 132:233– 259, 1997.

[BKV93] G. Beylkin, J. M. Keiser, and L. Vozovoi. A New Class of Stabel Time Discretization Schemes for the Solution of Nonlinear PDE’s. Technical Report, Applied Mathematics Program, University of Colorado, Boulder, CO, 1993.

[BM95] Albert P. Berg and Wasfy B. Mikhael. An efficient structure and algorithm for the mixed transform representation of signals. In Proceedings of the 29th Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, November 1995.

[BNW94] A. Benveniste, R. Nikoukhah, and A. S. Willsky. Multiscale system theory. IEEE Transactions on Circuits and Systems, I, 41(1):2–15, January 1994.

[BO98] C. S. Burrus and J. E. Odegard. Coiflet systems and zero moments. IEEE Transactions on Signal Processing, 46(3):761–766, March 1998. Also CML Technical Report, Oct. 1996.

[Boa92] Boualem Boashash, editor. Time-Frequency Signal Analysis. Wiley, Halsted Press, New York, 1992. Result of 1990 Special Converence on Time-Frequency Analysis, Gold Coast, Australia.

[BP85] C. S. Burrus and T. W. Parks. DFT/FFT and Convolution Algorithms. John Wiley & Sons, New York, 1985.

[Bur93] C. S. Burrus. Scaling Functions and Wavelets. first version written in 1989, The Computational Mathematics Lab. and ECE Dept., Rice University, Houston, Tx, 1993.

[Bur94] Barbara Burke. The mathematical microscope: waves, wavelets, and beyond. In M. Bartusiak, et al, editor, A Positron Named Priscilla, Scientific Discovery at the Frontier, chapter 7, pages 196–235, National Academy Press, Washington, DC, 1994.

[BW94] Michael Burrows and David J. Wheeler. A Block-Sorting Lossless Data Compression Algorithm. Technical Report 124, Digital Systems Research Center, Palo Alto, 1994.

[CD94] Shaobing Chen and David L. Donoho. Basis pursuit. In Proceedings of the 28th Asilomar Conference on Signals, Systems, and Computers, pages 41–44, Pacific Grove, CA, November 1994. Also Stanford Statistics Dept. Report, 1994.

[CD95a] Shaobing Chen and David L. Donoho. Atomic Decomposition by Basis Pursuit. Technical Report 479, Statistics Department, Stanford, May 1995. preprint.

[CD95b] R. R. Coifman and D. L. Donoho. Translation-invariant de-noising. In Anestis Antoniadis and G. Oppenheim, editors, Wavelets and Statistics, pages 125–150, Springer-Verlag, 1995. Springer Lecture Notes in Statistics.

[CDF92] A. Cohen, I. Daubechies, and J. C. Feauveau. Biorthogonal bases of compactly supported wavelets. Communications on Pure and Applied Mathematics, 45:485–560, 1992.

[CDM91] S. Cavaretta, W. Dahmen, and C. A. Micchelli. Stationary Subdivision. Volume 93, American Mathematical Society, 1991.

[CDP95] A. Cohen, I. Daubechies, and G. Plonka. Regularity of refinable function vectors. Technical Report 95/16, Universit ̈t Rostock, 1995. To appear in: J. Fourier Anal. Appl.

[CDV93] Albert Cohen, Ingrid Daubechies, and Pierre Vial. Wavelets on the interval and fast wavelet transforms. Applied and Computational Harmonic Analysis, 1(1):54–81, December 1993.

[CGT89] J. M. Combes, A. Grossmann, and P. Tchamitchian, editors. Wavelets, Time-Frequency Methods and Phase Space. Springer-Verlag, Berlin, 1989. Proceedings of the International Conference, Marseille, France, December 1987.

[Chu92a] Charles K. Chui. An Introduction to Wavelets. Academic Press, San Diego, CA, 1992. Volume 1 in the series: Wavelet Analysis and its Applications.

[Chu92b] Charles K. Chui. Wavelets: A Tutorial in Theory and Applications. Academic Press, San Diego, CA, 1992. Volume 2 in the series: Wavelet Analysis and its Applications.

[Chu97] Charles K. Chui. Wavelets: A Mathematical Tool for Signal Analysis. SIAM, Philadilphia, 1997.

[CL96] C. K. Chui and J. Lian. A study of orthonormal multi-wavelets. Applied Numerical Mathematics, 20(3):273–298, March 1996.

[CM94] Ronald R. Coifman and Fazal Majid. Adapted Waveform Analysis and Denoising. Technical Report, Yale University, New Haven, 1994.

[CMP95] Charles K. Chui, Laura Montefusco, and Luigia Puccio, editors. Wavelets: Theory, Algorithms, and Applications. Academic Press, San Diego, 1995. Volume 5 in the series: Wavelet Analysis and its Applications.

[CMQW92] R. R. Coifman, Y. Meyer, S. Quake, and M. V. Wickerhauser. Signal processing and compression with wave packets. In Y. Meyer, editor, Proceedings of the International Conference on Wavelets, 1989 Marseille, Masson, Paris, 1992.

[CMW92] R. R. Coifman, Y. Meyer, and M. V. Wickerhauser. Wavelet analysis and signal processing. In M. B. Ruskai et al., editor, Wavelets and Their Applications, Jones and Bartlett, Boston, 1992.

[CMX96] Z. Chen, C. A. Micchelli, and Y. Xu. The Petrov-Galerkin Method for Second Kind Integral Equations II: Multiwavelet Schemes. Technical Report, Math. Dept. North Dakota State University, November 1996.

[CNKS96] T. Cooklev, A. Nishihara, M. Kato, and M. Sablatash. Two-channel multifilter banks and multiwavelets. In IEEE Proc. Int. Conf. Acoust., Speech, Signal Processing, pages 2769– 2772, 1996.

[Coh89] L. Cohen. Time-frequency distributions - a review. Proceedings of the IEEE, 77(7):941–981, 1989.

[Coh92] A. Cohen. Biorthogonal wavelets. In Charles K. Chui, editor, Wavelets: A Tutorial in Theory and Applications, Academic Press, Boca Raton, 1992. Volume 2 in the series: Wavelet Analysis and its Applications.

[Coh95] Leon Cohen. Time–Frequency Analysis. Prentice Hall, Upper Saddle River, NJ, 1995.

[Coi90] R. R. Coifman. Wavelet analysis and signal processing. In Louis Auslander, Tom Kailath, and Sanjoy K. Mitter, editors, Signal Processing, Part I: Signal Processing Theory, pages 59– 68, Springer-Verlag, New York, 1990. IMA vol. 22, lectures from IMA Program, summer 1988.

[Cro96] Matthew Crouse. Frame Robustness for De-Noising. Technical Report, EE 696 Course Report, Rice University, Houston, Tx, May 1996.

[CS93] A. Cohen and Q. Sun. An arthmetic characterization of the conjugate quadrature filters associated to orthonormal wavelet bases. SIAM Journal of Mathematical Analysis, 24(5):1355–1360, 1993.

[CT91] T. M. Cover and J. A. Thomas. Elements of Information Theory. John Wiley \$ Sons, N.Y., 1991.

[CW90] Ronald R. Coifman and M. V. Wickerhauser. Best-Adapted Wave Packet Bases. Technical Report, Math Dept., Yale University, New Haven, 1990.

[CW92] R. R. Coifman and M. V. Wickerhauser. Entropy-based algorithms for best basis selection. IEEE Transaction on Information Theory, 38(2):713–718, March 1992.

[Dau88a] Ingrid Daubechies. Orthonormal bases of compactly supported wavelets. Communications on Pure and Applied Mathematics, 41:909–996, November 1988.

[Dau88b] Ingrid Daubechies. Time-frequency localization operators: a geometric phase space approach. IEEE Transactions on Information Theory, 34(4):605–612, July 1988.

[Dau89] Ingrid Daubechies. Orthonormal bases of wavelets with finite support – connection with discrete filters. In J. M. Combes, A. Grossman, and Ph. Tchamitchian, editors, Wavelets, Time-Frequency Methods and Phase Space, pages 38–66, Springer-Verlag, Berlin, 1989. Proceedings of International Colloquium on Wavelets and Applications, Marseille, France, Dec. 1987.

[Dau90] Ingrid Daubechies. The wavelet transform, time-frequency localization and signal analysis. IEEE Transaction on Information Theory, 36(5):961–1005, September 1990. Also a Bell Labs Technical Report.

[Dau92] Ingrid Daubechies. Ten Lectures on Wavelets. SIAM, Philadelphia, PA, 1992. Notes from the 1990 CBMS-NSF Conference on Wavelets and Applications at Lowell, MA.

[Dau93] Ingrid Daubechies. Orthonormal bases of compactly supported wavelets II, variations on a theme. SIAM Journal of Mathematical Analysis, 24(2):499–519, March 1993.

[Dau96] Ingrid Daubechies. Where do wavelets comre from? – a personal point of view. Proceedings of the IEEE, 84(4):510–513, April 1996.

[DD87] G. Deslauriers and S. Dubuc. Interpolation dyadique. In G. Cherbit, editor, Fractals, Dimensions Non Enti ́rs et Applications, pages 44–45, Masson, Paris, 1987.

[DDO97] Wolfgang Dahmen, Andrew Durdila, and Peter Oswald, editors. Multiscale Wavelet Methods for Partial Differential Equations. Academic Press, San Diego, 1997. Volume 6 in the series: Wavelet Analysis and its Applications.

[DFN*93] Special issue on wavelets and signal processing. IEEE Transactions on Signal Processing, 41(12):3213–3600, December 1993.

[DJ94a] David L. Donoho and Iain M. Johnstone. Ideal denoising in an orthonormal basis chosen from a library of bases. C. R. Acad. Sci. Paris, Ser. I, 319, to appear 1994. Also Stanford Statistics Dept. Report 461, Sept. 1994.

[DJ94b] David L. Donoho and Iain M. Johnstone. Ideal spatial adaptation via wavelet shrinkage. Biometrika, 81:425–455, 1994. Also Stanford Statistics Dept. Report TR-400, July 1992.

[DJ95] David L. Donoho and Iain M. Johnstone. Adapting to unknown smoothness via wavelet shrinkage. Journal of American Statist. Assn., to appear 1995. Also Stanford Statistics Dept. Report TR-425, June 1993.

[DJJ] Ingrid Daubechies, St ́phane Jaffard, and Jean-Lin Journ ́. A simple Wilson orthonormal basis with exponential decay. preprint.

[DJKP95a] David L. Donoho, Iain M. Johnstone, G ́rard Kerkyacharian, and Dominique Picard. Discussion of “Wavelet Shrinkage: Asymptopia?”. Journal Royal Statist. Soc. Ser B., 57(2):337–

369, 1995. Discussion of paper by panel and response by authors.

[DJKP95b] David L. Donoho, Iain M. Johnstone, G ́rard Kerkyacharian, and Dominique Picard. Wavelet shrinkage: asymptopia? Journal Royal Statistical Society B., 57(2):301–337, 1995. Also Stanford Statistics Dept. Report TR-419, March 1993.

[DL91] Ingrid Daubechies and Jeffrey C. Lagarias. Two-scale difference equations, part I. Existence and global regularity of solutions. SIAM Journal of Mathematical Analysis, 22:1388–1410, 1991. From an internal report, AT&T Bell Labs, Sept. 1988.

[DL92] Ingrid Daubechies and Jeffrey C. Lagarias. Two-scale difference equations, part II. local regularity, infinite products of matrices and fractals. SIAM Journal of Mathematical Analysis, 23:1031–1079, July 1992. From an internal report, AT&T Bell Labs, Sept. 1988.

[DL93] R. DeVire and G. Lorentz. Constructive Approximation. Springer-Verlag, 1993.

[DM93] R. E. Van Dyck and T. G. Marshall, Jr. Ladder realizations of fast subband/vq coders with diamond structures. In Proceedings of IEEE International Symposium on Circuits and Systems, pages III:177–180, ISCAS, 1993.

[DMW92] Special issue on wavelet transforms and multiresolution signal analysis. IEEE Transactions on Information Theory, 38(2, part II):529–924, March, part II 1992.

[Don93a] David L. Donoho. Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data. In Ingrid Daubechies, editor, Different Perspectives on Wavelets, I, pages 173–205, American Mathematical Society, Providence, 1993. Proceedings of Symposia in Applied Mathematics and Stanford Report 437, July 1993.

[Don93b] David L. Donoho. Unconditional bases are optimal bases for data compression and for statistical estimation. Applied and Computational Harmonic Analysis, 1(1):100–115, December 1993. Also Stanford Statistics Dept. Report TR-410, Nov. 1992.

[Don93c] David L. Donoho. Wavelet Skrinkage and W. V. D. – A Ten Minute Tour. Technical Report TR-416, Statistics Department, Stanford University, Stanford, CA, January 1993. Preprint.

[Don94] David L. Donoho. On minimum entropy segmentation. In C. K. Chui, L. Montefusco, and L. Puccio, editors, Wavelets: Theory, Algorithms, and Applications, Academic Press, San Diego, 1994. Also Stanford Tech Report TR-450, 1994; Volume 5 in the series: Wavelet Analysis and its Applications.

[Don95] David L. Donoho. De-noising by soft-thresholding. IEEE Transactions on Information Theory, 41(3):613–627, May 1995. also Stanford Statistics Dept. report TR-409, Nov. 1992.

[Donar] David L. Donoho. Interpolating wavelet transforms. Applied and Computational Harmonic Analysis, to appear. Also Stanford Statistics Dept. report TR-408, Nov. 1992.

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[DS96a] Ingrid Daubechies and Wim Sweldens. Factoring Wavelet Transforms into Lifting Steps. Technical Report, Princeton and Lucent Technologies, NJ, September 1996. Preprint.

[DS96b] T. R. Downie and B. W. Silverman. The Discrete Multiple Wavelet Transform and Thresholding Methods. Technical Report, University of Bristol, November 1996. Submitted to IEEE Tran. Signal Processing.

[Dut89] P. Dutilleux. An implementation of the “algorithme a trou” to compute the wavelet transform. In J. M. Combes, A. Grossmann, and Ph. Tchamitchian, editors, Wavelets, Time-Frequency Methods and Phase Space, pages 2–20, Springer-Verlag, Berlin, 1989. Proceedings of International Colloquium on Wavelets and Applications, Marseille, France, Dec. 1987.

[DVN88] Z. Doˇanata, P. P. Vaidyanathan, and T. Q. Nguyen. General synthesis procedures for FIR lossless transfer matrices, for perfect-reconstruction multirate filter bank applications. IEEE Transactions on Acoustics, Speech, and Signal Processing, 36(10):1561–1574, October 1988.

[Eir92] T. Eirola. Sobolev characterization of solutions of dilation equations. SIAM Journal of Mathematical Analysis, 23(4):1015–1030, July 1992.

[FHV93] M. Farge, J. C. R. Hunt, and J. C. Vassilicos, editors. Wavelets, Fractals, and Fourier Tranforms. Clarendon Press, Oxford, 1993. Proceedings of a conference on Wavelets at Newnham College, Cambridge, Dec. 1990.

[FK94] Efi Foufoula-Georgiou and Praveen Kumar, editors. Wavelets in Geophyics. Academic Press, San Diego, 1994. Volume 4 in the series: Wavelet Analysis and its Applications.

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[GB00] Haitao Guo and C. Sidney Burrus. Fast approximate Fourier transform via wavelet transforms. IEEE Transactions, to be submitted 2000.

[GB90] R. A. Gopinath and C. S. Burrus. Efficient computation of the wavelet transforms. In Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, pages 1599–1602, Albuquerque, NM, April 1990.

[GB92a] R. A. Gopinath and C. S. Burrus. Cosine–modulated orthonormal wavelet bases. In Paper Summaries for the IEEE Signal Processing Society’s Fifth DSP Workshop , page 1.10.1, Starved Rock Lodge, Utica, IL, September 13–16, 1992.

[GB92b] R. A. Gopinath and C. S. Burrus. On the moments of the scaling function ψ0 . In Proceedings of the IEEE International Symposium on Circuits and Systems, pages 963–966, ISCAS-92, San Diego, CA, May 1992.

[GB92c] R. A. Gopinath and C. S. Burrus. Wavelet transforms and filter banks. In Charles K. Chui, editor, Wavelets: A Tutorial in Theory and Applications, pages 603–655, Academic Press, San Diego, CA, 1992. Volume 2 in the series: Wavelet Analysis and its Applications.

[GB93] R. A. Gopinath and C. S. Burrus. Theory of modulated filter banks and modulated wavelet tight frames. In Proceedings of the IEEE International Conference on Signal Processing, pages III–169–172, IEEE ICASSP-93, Minneapolis, April 1993.

[GB94a] R. A. Gopinath and C. S. Burrus. On upsampling, downsampling and rational sampling rate filter banks. IEEE Transactions on Signal Processing, April 1994. Also Tech. Report No. CML TR91-25, 1991.

[GB94b] R. A. Gopinath and C. S. Burrus. Unitary FIR filter banks and symmetry. IEEE Transaction on Circuits and Systems II, 41:695–700, October 1994. Also Tech. Report No. CML TR92- 17, August 1992.

[GB95a] R. A. Gopinath and C. S. Burrus. Factorization approach to unitary time-varying filter banks. IEEE Transactions on Signal Processing, 43(3):666–680, March 1995. Also a Tech Report No. CML TR-92-23, Nov. 1992.

[GB95b] R. A. Gopinath and C. S. Burrus. Theory of modulated filter banks and modulated wavelet tight frames. Applied and Computational Harmonic Analysis: Wavelets and Signal Processing, 2:303–326, October 1995. Also a Tech. Report No. CML TR-92-10, 1992.

[GB95c] Ramesh A. Gopinath and C. Sidney Burrus. On cosine–modulated wavelet orthonormal bases. IEEE Transactions on Image Processing, 4(2):162–176, February 1995. Also a Tech. Report No. CML TR-91-27, March 1992.

[GB96a] Haitao Guo and C. Sidney Burrus. Approximate FFT via the discrete wavelet transform. In Proceedings of SPIE Conference 2825, Denver, August 6–9 1996.

[GB96b] Haitao Guo and C. Sidney Burrus. Convolution using the discrete wavelet transform. In Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, pages III–1291–1294, IEEE ICASSP-96, Atlanta, May 7–10 1996.

[GB96c] Haitao Guo and C. Sidney Burrus. Phase-preserving compression of seismic images using the self-adjusting wavelet transform. In NASA Combined Industry, Space and Earth Science Data Compression Workshop (in conjunction with the IEEE Data Compression Conference, DCC-96), JPL Pub. 96-11, pages 101–109, Snowbird, Utah, April 4 1996.

[GB97a] Haitao Guo and C. Sidney Burrus. Waveform and image compression with the Burrows Wheeler transform and the wavelet transform. In Proceedings of the IEEE International Conference on Image Processing, pages I:65–68, IEEE ICIP-97, Santa Barbara, October 26-29 1997.

[GB97b] Haitao Guo and C. Sidney Burrus. Wavelet transform based fast approximate Fourier transform. In Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, pages III:1973–1976, IEEE ICASSP-97, Munich, April 21–24 1997.

[GGM84a] P. Goupillaud, A. Grossman, and J. Morlet. Cyclo-octave and related transforms in seismic signal analysis. SIAM J. Math. Anal., 15:723–736, 1984.

[GGM84b] P. Groupillaud, A. Grossman, and J. Morlet. Cyclo-octave and related transforms in seismic signal analysis. Geoexploration, (23), 1984.

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[GLOB95] H. Guo, M. Lang, J. E. Odegard, and C. S. Burrus. Nonlinear processing of a shift-invariant DWT for noise reduction and compression. In Proceedings of the International Conference on Digital Signal Processing, pages 332–337, Limassol, Cyprus, June 26–28 1995.

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[GOB94] R. A. Gopinath, J. E. Odegard, and C. S. Burrus. Optimal wavelet representation of signals and the wavelet sampling theorem. IEEE Transactions on Circuits and Systems II, 41(4):262–277, April 1994. Also a Tech. Report No. CML TR-92-05, April 1992, revised Aug. 1993.

[GOL*94a] H. Guo, J. E. Odegard, M. Lang, R. A. Gopinath, I. Selesnick, and C. S. Burrus. Speckle reduction via wavelet soft-thresholding with application to SAR based ATD/R. In Proceedings of SPIE Conference 2260, San Diego, July 1994.

[GOL*94b] H. Guo, J. E. Odegard, M. Lang, R. A. Gopinath, I. W. Selesnick, and C. S. Burrus. Wavelet based speckle reduction with application to SAR based ATD/R. In Proceedings of the IEEE International Conference on Image Processing, pages I:75–79, IEEE ICIP-94, Austin, Texas, November 13-16 1994.

[Gop90] Ramesh A. Gopinath. The Wavelet Transforms and Time-Scale Analysis of Signals. Master’s thesis, Rice University, Houston, Tx 77251, 1990.

[Gop92] Ramesh A. Gopinath. Wavelets and Filter Banks – New Results and Applications. PhD thesis, Rice University, Houston, Tx, August 1992.

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[GORB96] J. G ̈tze, J. E. Odegard, P. Rieder, and C. S. Burrus. Approximate moments and regularity of efficiently implemented orthogonal wavelet transforms. In Proceedings of the IEEE International Symposium on Circuits and Systems, pages II–405–408, IEEE ISCAS-96, Atlanta, May 12-14 1996.

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[Guo95] Haitao Guo. Theory and Applications of the Shift-Invariant, Time-Varying and Undecimated Wavelet Transform. Master’s thesis, ECE Department, Rice University, April 1995.

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