These are some references for the DWT.
-Michael Weeks
[Acharya97] Tinku Acharya, Po-Yueh Chen, and Hamid Jafarkhani, "A Pipelined Architecture for Adaptive Image Compression using DWT and Spectral Classification," Proceedings of the Thirty-First Annual Conference on Information Sciences and Systems, Gerard G. L. Meyer, Howard L. Weinert (editors), Volume II, The Johns Hopkins University, Baltimore, Maryland, March 19-21, 1997, pages 1-17.
[Aditya96] Sri-Krishna Aditya, Fast Algorithm and Architecture for Computation of Discrete Wavelet Transform, Ph. D. Dissertation, University of Southwestern Louisiana, 1996.
[Angelidis94] P. A. Angelidis, "MR Image Compression using a Wavelet Transform Coding Algorithm," Magnetic Resonance Imaging, Volume 12, Number 7, 1994, pages 1111-1120.
[Anton91] Howard Anton, Elementary Linear Algebra, 6th Edition, John Wiley & Sons, Inc., New York, 1991.
[Aware94] Wavelet Transform Processor Chip User's Guide, Aware, Inc., Bedford, MA, 1994.
[Benton95] Ryan Benton, Afshin Ganjoo, Beth Lumetta, Daryl Spillman, and Jason Ring, "Adaptive Wavelet Transforms of Singular and Chaotic Signals," SPIE Wavelet Applications III [Society of Photo-Optical Instrumentation Engineers], Harold H. Szu (editor), Volume 2762, Orlando, Florida, April 8-12 1996, pages 136-143.
[Bogner75] R. E. Bogner and A. G. Constantinides (editors), Introduction to Digital Filtering, John Wiley & Sons, Ltd., London, 1975.
[Boles93] W. W. Boles and Quang Minh Tieng, "Recognition of 2-D Objects from the Wavelet Transform Zero-crossing Representation," Proceedings SPIE [Society of Photo-Optical Instrumentation Engineers], A. F. Laine (editor), Volume 2034, Mathematical Imaging, San Diego, July 11-16, 1993, pages 104-114.
[Brislawn96] Christopher M. Brislawn, Jonathan N. Bradley, Remigius J. Onyshczak, and Tom Hopper, "The FBI Compression Standard for Digitized Fingerprint Images," Proceedings SPIE [Society of Photo-Optical Instrumentation Engineers], Andrew G. Tescher (editor), Volume 2847, Denver, August 4-9, 1996, pages 344-355.
[Brooks96] Geoffrey Brooks, "Processors for Wavelet Analysis and Synthesis: NIFS and the TI-C80 MVP," Proceedings SPIE [Society of Photo-Optical Instrumentation Engineers], H. H. Szu (editor), Volume 2762, Orlando, Florida, April 8-12, 1996, pages 325-333.
[Bruce96] Andrew Bruce, David Donoho, and Hong-Ye Gao, "Wavelet Analysis," IEEE Spectrum, October 1996, pages 26-35.
[Chakrabarti95] Chaitali Chakrabarti and Mohan Vishwanath, "Efficient Realizations of the Discrete and Continuous Wavelet Transforms: From Single Chip Implementations to Mappings on SIMD Array Computers," IEEE Transactions on Signal Processing, Volume 43, Number 3, March 1995, pages 759-771.
[Chakrabarti96] Chaitali Chakrabarti, Mohan Vishwanath, and Robert Owens, "Architectures for Wavelet Transforms: A Survey," Journal of VLSI Signal Processing, Volume 14, Number 1, 1996, pages 171-192.
[Chang97] Charles C. Chang, Jyh-Charn Liu, and Andrew K. Chan, "On the Architectural Support for Fast Wavelet Transform," SPIE Wavelet Applications IV [Society of Photo-Optical Instrumentation Engineers], H. H. Szu (editor), Volume 3078, Orlando, Florida, April 21-25, 1997, pages 700-707.
[Chen95] Jijun Chen and Magdy Bayoumi, "A Scalable Systolic Array Architecture for 2-D Discrete Wavelet Transforms," Proceedings of IEEE Workshop on VLSI Signal Processing, Jan Rabaey (editor), Volume III, Osaka, Japan, October 16-18, 1995, pages 303-312.
[Chinnock95] Chris Chinnock, "Wavelets Challenge MPEG, Fractals," Byte, Volume 20, Issue 12, December 1995, page 34.
[Chou93] Mo-Hong Chou and En-Bing Lin, "Wavelet Compression Through Wavelet Stieltjes Transform," Mathematical Imaging: Wavelet Applications in Signal and Image Processing, SPIE Proceedings [Society of Photo-Optical Instrumentation Engineers], Andrew F. Laine (chair/editor), Volume 2034, San Diego, July 15-16, 1993, pages 254-264.
[Coifman93] R. R. Coifman and M. V. Wickerhauser, "Wavelets and Adapted Waveform Analysis," Proceedings of Symposia in Applied Mathematics, Ingrid Daubechies (Editor), Volume 47, American Mathematics Society, Providence, November 6-9 1993, pages 119-153.
[Daubechies92] Ingrid Daubechies, Ten Lectures on Wavelets, Capital City Press, Montpelier, Vermont, 1992.
[Edwards92] Tim Edwards, "Discrete Wavelet Transforms: Theory and Implementation," unpublished paper presented at Stanford University, June 4, 1992.
[Fridman94a] Jose Fridman and Elias S. Manolakos, "Distributed Memory and Control VLSI Architectures for the 1-D Discrete Wavelet Transform," IEEE Proceedings VLSI Signal Processing VII, Jan Rabaey, Paul M. Chau, John Eldon (editors), La Jolla, California, October 26-28, 1994, pages 388-397.
[Fridman94b] Jose Fridman and Elias S. Manolakos, "On the Synthesis of Regular VLSI Architectures for the 1-D Discrete Wavelet Transform," Proceedings of SPIE Conf. on Mathematical Imaging: Wavelet Applications in Signal and Image Processing II [Society of Photo-Optical Instrumentation Engineers], Andrew F. Laine, Michael A. Unser (editors), Volume 2303, San Diego, July 24-29, 1994, pages 91-104.
[Fridman97] Jose Fridman and Elias S. Manolakos, "Discrete Wavelet Transform: Data Dependence Analysis and Synthesis of Distributed Memory and Control Array Architectures," IEEE Transactions on Signal Processing, Volume 45, Number 5, May 1997, pages 1291-1308.
[Gibbs96] W. Wayt Gibbs, "Making Wavelets," Scientific American, June 1996, pages 137-138.
[Goh93] K. H. Goh, J. J. Soraghan, and T. S. Durrani, "New 3-D Wavelet Transform Coding Algorithm for Image Sequences," Electronics Letters, Volume 29, Number 4, 1993, pages 401-402.
[Gonzalez96] Gerardo Gonzalez-Altamirano, Alejandro Diaz-Sanchez, and Jaime Ramirez-Angulo, "Fast Sampled-Data Wavelet Transform CMOS VLSI Implementation," Proceedings of the 39th Midwest Symposium on Circuits and Systems, G. Cameron, M. Hassoun, A. Jerdee, C. Melvin (editors), Iowa State University, Ames, Iowa, August 18-21, 1996, pages 101-104.
[Graps95] Amara Graps, "An Introduction to Wavelets," IEEE Computational Science and Engineering, Volume 2, Number 2, 1995, pages 1-18.
[Grzeszczak96] Aleksander Grzeszczak, Mrinal K. Mandal, and Sethuraman Panchanathan, Tet Yeap, "VLSI Implementation of Discrete Wavelet Transform," IEEE Transactions of Very Large Scale Integration (VLSI) Systems, Volume 4, Number 4, 1996, pages 421-433.
[Henricks96] Mark Henricks, "PC Pictures Get the Wavelet Squeeze," Popular Science, Volume 248, Issue 2, February 1996, page 30.
[Hickman97] Angela Hickman, John Morris, Carol Levin, Sebastian Rupley, and David Willmott, "Web Acceleration," PC Magazine, June 10, 1997, page 10.
[Hilton94] Michael Hilton, Bjorn Jawerth, and Ayan Sengupta, "Compressing Still and Moving Images with Wavelets," Multimedia Systems, Volume 2, Number 3, 1994, pages 1-19.
[Intel97] PentiumŪ Processor Family Developer's Manual, Intel Corporation, Hillsboro, Oregon, 1997.
[Jennison61] R. C. Jennison, Fourier Transforms and Convolutions for the Experimentalist, Pergamon Press Ltd., Leipzig, German Democratic Republic, 1961.
[Kaiser94] Gerald Kaiser, A Friendly Guide to Wavelets, Birkhauser, Boston, 1994.
[Kim97] Jaemin Kim and John W. Woods, "Spatio-Temporal Adaptive 3-D Kalman Filter for Video," IEEE Transactions on Image Processing, Volume 6, Number 3, 1997, pages 414-424.
[Knowles90] G. Knowles, "VLSI Architecture for the Discrete Wavelet Transform," Electronics Letters, Volume 26, Number 15, 1990, pages 1184-1185.
[Kotsas94] P. Kotsas, D. W. Piraino, M. P. Recht, and B. J. Richmond, "Comparison of Adaptive Wavelet-based and Discrete Cosine Transform Algorithm in Image Compression", Radiology, Volume 193(P), Supplement, 1994, page 331.
[Kwai96] Ding-Ming Kwai and Behrooz Parhami, "FFT Computation with Linear Processing Arrays Using a Data-Driven Control Scheme," Journal of VLSI Signal Processing Systems, Volume 13, Number 1, 1996, pages 57-66.
[Lankswert92] Patrick C. Lankswert, Image Processing Tools and Methods Guide, Department of Engineering Mathematics and Computer Science, University of Louisville, Louisville, Kentucky, August 1992.
[Lee93] Heesub Lee, Yongmin Kim, Alan H. Rowberg, and Eve A. Riskin, "Statistical Distributions of DCT Coefficients and Their Application to an Interframe Compression Algorithm for 3-D Medical Images," IEEE Transactions of Medical Imaging, Volume 12, Number 3, 1993, pages 478-485.
[Lewis90] A. S. Lewis and G. Knowles, "Video Compression using 3-D Wavelet Transforms," Electronics Letters, Volume 26, Number 6, 1990, pages 396-398.
[Lewis91] A. S. Lewis and G. Knowles, "VLSI Architecture for 2-D Daubechies Wavelet Transform without Multipliers," Electronics Letters, Volume 27, Number 2, 1991, pages 171-173.
[Lewis92] A. S. Lewis, G. Knowles, "Image Compression Using the 2-D Wavelet Transform," IEEE Transactions on Image Processing, Volume 1, Number 2, 1992, pages 244-250.
[Limqueco96a] Jimmy Limqueco and Magdy Bayoumi, "A 2-D DWT Architecture," Proceedings of the 39th Midwest Symposium on Circuits and Systems, G. Cameron, M. Hassoun, A. Jerdee, C. Melvin (editors), Iowa State University, Ames, Iowa, August 18-21, 1996, pages 1239-1242.
[Limqueco96b] Jimmy Limqueco and Magdy Bayoumi, "A Scalable Architecture for 2-D Discrete Wavelet Transform," VLSI Signal Processing IX, Teresa Meng, Wayne Burleson (editors), San Francisco, October 30-November 1, 1996, pages 369-377.
[Loy88] Nicholas John Loy, An Engineer's Guide to FIR Digital Filters, Prentice-Hall, Englewood Cliffs, New Jersey, 1988.
[Mallat89] Stephane Mallat, "A Theory for Multiresolution Signal Decomposition: The Wavelet Representation," IEEE Pattern Analysis and Machine Intelligence, Volume 11, Number 7, 1989, pages 674-693.
[Mallat91] Stephane Mallat, "Zero-Crossings of a Wavelet Transform," IEEE Transactions on Information Theory, Volume 17, Number 4, 1991, pages 1019-1033.
[Mallat92] Stephane Mallat and Sifen Zhong, "Characterization of signals from multiscale edges," IEEE Transactions PAMI [Pattern Analysis and Machine Intelligence], Volume 14, Number 17, 1992, pages 710-732.
[Marr82] D. Marr, Vision, Freeman, New York, 1982.
[Matlab96] Matlab Wavelet Handbook, The MathWorks, Inc., Natick, Massachusetts, 1996.
[Mukherjee86] Amar Mukherjee, Introduction to nMOS 7 CMOS VLSI System Design, Prentice-Hall, Englewood Cliffs, New Jersey, 1986.
[Oppenheim89] Alan V. Oppenheim and Ronald W. Schafer, Discrete-Time Signal Processing, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1989.
[Ozer95] Jan Ozer, "New Compression Codec Promises Rates Close to MPEG," CD-ROM Professional, September 1995, page 24.
[Ozer96] Jan Ozer, "Web-Based Video - VDOLive" (product review), PC Magazine, Volume 15, Number 6, March 26, 1996, pages 136-137.
[Parhi93] Keshab K. Parhi and Takao Nishitani, "VLSI Architectures for Discrete Wavelet Transforms," IEEE Transactions on Very Large Scale Integration (VLSI) Systems, Volume 1, Number 2, 1993, pages 191-202.
[Pratt96] Michael A. Pratt, C. Henry Chu, and Stephen Wong, "Volume Compression of MRI Data using Zerotrees of Wavelet Coefficients," Proceedings Wavelet Applications in Signal and Image Processing IV, Michael A. Unser, Akram Aldroubi, Andrew Laine (editors), Denver, Colorado, August 16-19, 1996, pages 752-763.
[Quarmby85] David Quarmby (editor), Signal Processor Chips, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1985.
[Rayner71] J. N. Rayner, An Introduction to Spectral Analysis, Methuen, Inc., New York, 1971.
[Riskin90] Eve A. Riskin, Tom Lookabaugh, Philip A. Chou, and Robert M. Gray, "Variable Rate Vector Quantization for Medical Image Compression," IEEE Transactions of Medical Imaging, Volume 9, Number 3, 1990, pages 290-298.
[Serrano96] E. P. Serrano and M. A. Fabio, "Application of the Wavelet Transform to Acoustic Emission Signals Processing," IEEE Transactions on Signal Processing, Volume 44, Number 5, 1996, pages 1270-1275.
[Sheu96] Ming-Hwa Sheu, Ming-Der Shieh, and Shun-Fa Cheng, "A Unified VLSI Architecture for Decomposition and Synthesis of Discrete Wavelet Transform," Proceedings of the 39th Midwest Symposium on Circuits and Systems, G. Cameron, M. Hassoun, A. Jerdee, C. Melvin (editors), Iowa State University, Ames, Iowa, August 18-21, 1996, pages 113-116.
[Smith94] Emily T. Smith (editor), "Squeezing a Flood of Data into Waves," Business Week, Issue 3397, November 7, 1994, page 105.
[Strang95] Gilbert Strang and Bjorn Jawerth, SIAM Short Course on Wavelets from Filter Banks, SIAM [Society for Industrial and Applied Mathematics], Philadelphia, 1995.
[Syed95] Shafiullah Syed, Magdy Bayoumi, and Jimmy Limqueco, "An Integrated Discrete Wavelet Transform Array Architecture," Proceedings of the Workshop on Computer Architecture for Machine Perception, Virginio Cantoni (editor), Como, Italy, September 18-20, 1995, pages 32-36.
[Szu94] Harold Szu, Charles Hsu, Pradip Thaker, and Mona Zaghloul, "Image Wavelet Transforms Implemented by Discrete Wavelet Chips," Optical Engineering, Volume 33, Number 7, 1994, pages 2310-2325.
[Szu95] Harold Szu and Brian Telfer, "Wavelet Dynamics," The Handbook of Brain Theory and Neural Networks, Michael A. Arbib (editor), MIT Press, 1995, pages 1049-1053.
[Szu96] Harold H. Szu, "Review of Wavelet Transforms for Pattern Recognitions," Wavelet Applications III, SPIE Proceedings [Society of Photo-Optical Instrumentation Engineers], Harold H. Szu (chair/editor), Volume 2762, Orlando, Florida, April 8-12, 1996, pages 2-22.
[Szu97] Harold Szu and Charles Hsu, "Symmetric Codec Video Compression for N-to-N Teleconferences Using Biorthogonal Subband Wavelets," SPIE Wavelet Applications IV [Society of Photo-Optical Instrumentation Engineers], Harold H. Szu (chair/editor), Volume 3078, Orlando, Florida, April 22-24, 1997, pages 12-22.
[Taubman94] D. Taubman and A. Zakhor, "Multirate 3-D Subband Coding of Video," IEEE Transactions on Signal Processing, Volume 3, Number 1, 1994, pages 572-588.
[Tian96] Jun Tian, Multiple Motion Compensated and Wavelet Based Video Compression, Ph. D. Dissertation, University of Southwestern Louisiana, 1996.
[Villasenor93] John D. Villasenor, "Alternatives to the Discrete Cosine Transform for Irreversible Tomographic Image Compression," IEEE Transactions of Medical Imaging, Volume 12, Number 4, 1993, pages 803-811.
[Vetterli90] Martin Vetterli and Cormac Herley, "Wavelets and Filter Banks: Relationships and New Results," Proceedings of the International Conference on Acoustics, Speech, and Signal Processing, Lonnie Ludeman (editor), Albuquerque, New Mexico, April 3-6, 1990, pages 1723-1726.
[Vetterli95] Martin Vetterli and Jelena Kovacevic, Wavelets and Subband Coding, Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1995.
[Vishwanath92] M. Vishwanath, R. M. Owens, and M. J. Irwin, "Discrete Wavelet Transforms in VLSI," Proceedings of the International Conference on Application Specific Array Processors, Jose Fortes, Edward A. Lee, Theresa H. Meng (editors), Berkeley, August 1-2, 1992, pages 218-229.
[Vishwanath94a] Mohan Vishwanath and Chaitali Chakrabarti, "A VLSI Architecture for Real-Time Hierarchical Encoding/Decoding of Video using the Wavelet Transform," IEEE International Conference on Acoustics, Speech and Signal Processing, Phil Plevin (editor), Adelaide, Australia, Volume 2, April 19-22, 1994, pages 401-404.
[Vishwanath94b] Mohan Vishwanath, "The Recursive Pyramid Algorithm for the Discrete Wavelet Transform," IEEE Transactions of Signal Processing, Volume 42, Number 3, 1994 pages 673-676.
[Vishwanath95] Mohan Vishwanath, Robert Owens, and Mary Irwin, "VLSI Architectures for the Discrete Wavelet Transform," IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, Volume 42, Number 5, 1995, pages 305-316.
[Walczak96] Beata Walczak, Bas van den Bogaert, and Desire' Luc Massart, "Application of Wavelet Packet Transform in Pattern Recognition of Near-IR Data," Analytical Chemistry, Volume 68, Number 1, 1996, pages 1742-1747.
[Wang94] Jun Wang and H. K. Huang, "Three-dimensional Wavelet Transform with Parallel Comp. for Radiological Image Compression", Radiology, Volume 193(P), Supplement, 1994, page 111.
[Wang95] Jun Wang and H. K. Huang, "Three-dimensional Medical Image Compression using a Wavelet Transform with Parallel Computing," SPIE Imaging Physics [Society of Photo-Optical Instrumentation Engineers], Yongmin Kim (editor), San Diego, Volume 2431, March 26-April 2, 1995, pages 16-26.
[Weste93] Neil Weste and Kamran Eshraghian, Principles of CMOS VLSI Design, Addison-Wesley, Reading Massachusetts, 1993.
[Yazji97] Sausan Yazji, A Motion-Estimation Architecture Based on Band- Matching, M.S. Thesis, University of Southwestern Louisiana, 1997.
[Yu98] Chu Yu, Chien-An Hsieh, and Sao-Jie Chen, "Design and Realization of Two Efficient VLSI Architectures for Discrete Wavelet Transforms," submitted for publication.
---------
Here is some of my stuff:
Michael Weeks, and Magdy Bayoumi, "A Survey of Discrete Wavelet Transform
Architectures," Journal of VLSI Signal Processing (accepted for
publication).
Michael Weeks, and Magdy Bayoumi, "Three-Dimensional Discrete Wavelet
Architectures," IEEE Transactions on Signal Processing, Volume
50, Number 8, August 2002, pages 2050-2063.
Michael Weeks and Qin Wang, "Orthogonal Wavelet Coefficient Precision and
Fixed Point Representation," 2002 International Workshop on
System-on-Chip for Real-Time Applications, Banff, Canada, July 5-7, 2002,
pages 497-506.
Wael Badawy, Michael Weeks, Guoqing Zhang, Michael Talley, and Magdy Bayoumi,
"MRI Data Compression Using a 3-D Discrete Wavelet
Transform," IEEE Engineering in Medicine and Biology, May/June 2002.
Baoan Wang and Michael Weeks, "Digital Data Formats and Their Effects," 40th
Annual ACM Southeast Conference, Raleigh, North Carolina,
April 26-27, 2002, pages 235-238.
Michael Weeks, "Precision for 2-D Discrete Wavelet Transform Processors," 2000
IEEE Workshop on Signal Processing Systems (SiPS),
Lafayette, Louisiana, October 10-13, 2000, pages 80-89.
Guoqing Zhang, Mike Talley, Wael Badawy, Michael Weeks and Magdy Bayoumi, "A
Low Power 3-D Discrete Wavelet Transform Processor for
Medical Applications," 1999 IEEE Workshop on Signal Processing Systems (SiPS),
Taipei, Taiwan, October 20-22, 1999, pages 65-74.
Guoqing Zhang, Mike Talley, Wael Badawy, Michael Weeks and Magdy Bayoumi, "A
Low Power Prototype for a 3-D Discrete Wavelet
Transform Processor," IEEE International Symposium on Circuits and Systems
(ISCAS '99), Orlando, Florida, May 30-June 2 1999.
Michael Weeks, Jimmy Limqueco, Magdy Bayoumi, "On Block Architectures for
Discrete Wavelet Transform," 32nd Asilomar Conference on
Signals, Systems and Computers, Pacific Grove, California, November 1-4, 1998.
Michael Weeks, Magdy Bayoumi, "3-D Discrete Wavelet Transform Architectures,"
IEEE International Symposium on Circuits and Systems
(ISCAS '98), Monterey, California, May 31 - June 3, 1998.
Michael Weeks, "Architectures for the 3-D Discrete Wavelet Transform," Ph.D.
Dissertation, University of Louisiana at Lafayette, May 1998.