Performance Analysis of 4 FDCT Algorithms Using Hardware Synthesis and Simulation
DOI:
https://doi.org/10.26438/ijcse/v6i4.149154Keywords:
FDCTAlgorithm, Dataflow diagram, Matlab Simulink, Xilinx synthesis, Post Route Simulation, Maximum padding delay, Maximum combinational path delayAbstract
In order to find out the best fast DCT algorithms presented among numerous algorithms,four Fast DCT Algorithms which are popular and frequently used are considered in the paper. Referring their dataflow graphs 4 architectures are designed using Matlab Simulink. HDL coder is used to generate automated VHDL code. The block setsused in the Simulink design are manually modified tothe fixed point 16-bit data type. VHDL code is generated using HDL coder. The designs are synthesized using Xilinx ISE 14.5. A test bench program is written to test the 4 algorithms with the same set of data. Using the test bench program, a post route simulation up to the pin level is executed. From the timing report and synthesis report, the results are compared to find out the best FDCT algorithm in terms of hardware utilization and simulated timing performance.Loeffler’s Algorithm is performing the best, both in terms of hardware utilization and timing requirement as found from the hardware synthesis report and timing report after post route simulation.
References
.Ken Carben and Peter Gent, “Image Compression and Discrete Cosine Transform”, Math45 college of Redwood
Gregory K. Wallace, “The JPEG Still Picture Compression Standard” IEEE Transactions on Consumer Electronics, December, 1991.
Rafael C. Gonzalez. University of Tennessee. Richard E.Woods, “Digital Image. Processing Third Edition.”
William B. Pennebaker, Joan L. Mitchell, “JPEG: Still Image Data Compression Standard”, Springer Publications
Wei-Yi Wei , “An Introduction to Image Compression”, Graduate Institute of Communication Engineering National Taiwan University, Taipei, Taiwan, ROC
A. Mardin, T. Anwar, B. Anwer, “Image Compression: Combination of Discrete Transformation and Matrix Reduction”, International Journal of Computer Sciences and Engineering, Vol.5, Issue.1, pp.1-6, 2017
W. Chen, C.H.Smith, and S.C.Fralick,”A fast computationalalgorithm for the discrete cosine transform,”IEEE, Trans, COMM-25, pp.1004-1009,Sep.1977.
.Arai Y, Aqui T, Nakajima M: A fast DCT-SQ Scheme for images, Trans IEICE #71 (1988), 1095-1097
.Yeonsik Jeong, Imgeun Lee, Hak Soo Kim, Kyu tae Park, “Fast DCT algorithm with fewer multiplication stage” , Electronics Letters 16thApril 1988 vol.34, No. 8
. C. Loeffler, A. Lightenberg, and G. Moschytz, “Practical fast 1-D DCT algorithms with 11multiplications”, Proc. IEEE ICASSP, vol. 2, pp. 988–991, Feb. 1989.
B.G. Lee, “FCT - A Fast Cosine Transform,” IEEE International Conference on Acoustics, Speech and Signal Processing San Diego 1984, pp. 28A.3.1-28A3.4, March 1984.
H. S. Hou, “A Fast Algorithm For Computing the Discrete Cosine Transform,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, No. 10, pp.1455-1461, Oct. 1987
C. W. Kok, “Fast Algorithm for Computing Discrete Cosine Transform,” IEEE Trans. Signal Process. , vol. 45, NO.3, pp.757- 760, Mar. 1977
P. Lee and F.-Y. Huang, “Restructured Recursive DCT and DST Algorithms,” IEEE Trans. Signal Process. vol. 42, NO. 7, pp.1600-1609, Jul. 1994
Z. Cvetkovic and M. V. Popovic, “New Fast Recursive Algorithms for the Computation of Discrete Cosine and Sine Transforms,” IEEE Trans. Signal Process., vol. 40, NO. 8, pp.2083-2086, Aug. 1992.
M. Vetterli and H. Nussbaumer, “Simple FFT and DCT algorithms with reduced number of operations,” Signal Process., vol. 6, pp. 267–278, Aug. 1984.
.Chen’s-Yu-Pao,”Design and Evaluation of a Data Dependent Low Power 8*8 DCT/IDCT”, A Master of applied science (Electrical) Thesis from Concordia University, Monheal, Quebec, Careda pp.9-14
Atri Sanyal, Swapan K Samaddar, “A Combined Architecture for FDCT Algorithms”, Proc IEEE 3rd International Conference on ICCCT 2012, Nov 23-25,2012, MNNIT Allahabad, India. IEEE Computer society, PP 33-37, ISBN: 978-0-7695-4872-2/12
.Swapan Kumar Samaddar, Atri Sanyal, Amitabha Sinha, “A Generalized Architecture for Linear Transform”, Proc. IEEEInternational Conference CNC 2010, Oct 04-05, 2010, Calicut, Kerala,India.
Downloads
Published
How to Cite
Issue
Section
License

This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors contributing to this journal agree to publish their articles under the Creative Commons Attribution 4.0 International License, allowing third parties to share their work (copy, distribute, transmit) and to adapt it, under the condition that the authors are given credit and that in the event of reuse or distribution, the terms of this license are made clear.
