Abstract
In this paper, a VHDL implementation of a decomposition unit based on Mallat's fast Wavelet Transform, which utilizes a two-channel subband coder, is described. The units were simulated, synthesized, and optimized using Mentor® design tools. The final design was verified with VHDL test benches and Matlab image processing tools. Results of the decomposition for color images validate the design. Utilizing a clock frequency of 25 MHz, a time period of 45 ms was estimated for the decomposition process of a 640 × 480 color image, which makes it feasible for real time video compression. The size of the layout was found to be within 2.5 × 2.5 mm, which suggests a 40 pin-package tiny frame.
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References
S. Mallat, A Wavelet Tour of Signal Processing, Chestnut Hill, MA: Academic Press, 1999.
C.S. Burrus, R.A. Gopinath, and H. Guo, Introduction to Wavelets and Wavelet Transforms, NJ: Prentice Hall, 1998.
K. Skahill, VHDL for Progammable Logic, Addison-Wesley, 1996.
N. Weste and K. Eshraghian, Principle of CMOS VLSI, Addison Wesley, 1993.
Z. Navabi, VHDL Analysis and Modeling of Digital Systems, McGraw Hill, 1993.
A.K. Sharma, Programmable Logic Handbook, McGraw Hill, 1998.
M.J.S. Smith, Application Specific Integrated Circuits, Addison Wesley, 1997.
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Paul Salama received the B.Sc. in Electrical Engineering (First Class Honors) from the University of Khartoum in 1991, and the M.S.E.E. and the Ph.D. degrees from Purdue University in 1993 and 1999, respectively. He is currently an Associate Professor at the Department of Electrical and Computer Engineering, Purdue School of Engineering and Technology, Indiana University Purdue University Indianapolis (IUPUI). His research interests include image and video compression, image processing, Transmission of compressed Video, Ill posed problems, and medical imaging. Dr. Salama is a member of SPIE, Tau Beta Pi, and Eta Kappa Nu.
Maher E. Rizkalla received his Ph.D. in Electrical Engineering from Case Western Reserve University, Cleveland, Ohio in 1985. From Jan. 1985 to Sep. 1986, he was a Visiting Scientist at Argonne National Laboratory, Argonne, IL while being a Visiting Assistant Professor at Purdue University Calumet. Since 1986 he has been with the Department of Electrical and Computer Engineering, Purdue School of Engineering and Technology, Indiana University Purdue University Indianapolis (IUPUI), where he is Professor of Electrical and Computer Engineering. His research interests include solid-state electronics, VLSI design as applied to DSP, electromagnetics, and engineering education. He has published over 100 papers in these areas. He received the outstanding teaching awards in the ECE Department and in the School five times and was the Professor of the Year at Purdue Calumet in 1986. He is the recipient of one NSF grant, and two FIPSE grants, and is COPI of a number of industrial and equipment grants. Dr. Rizkalla is a Senior Member, IEEE, and a Professional Engineer (PE) registered in the State of Indiana.
Michael Eckbauer received the M.S.E.E. degree in Electrical Engineering from Indiana University Purdue University Indianapolis (IUPUI) in December 2002. He is currently with GE Medical Systems in Waukesha, Wisconsin.
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Salama, P., Rizkalla, M.E. & Eckbauer, M. VHDL Implementation of the Fast Wavelet Transform. J VLSI Sign Process Syst Sign Image Video Technol 42, 223–239 (2006). https://doi.org/10.1007/s11265-006-4183-3
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DOI: https://doi.org/10.1007/s11265-006-4183-3