FPGA Implementations of Bireciprocal Lattice Wave Discrete Wavelet Filter Banks
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Abstract
In this paper, a special type of IIR filter banks; that is the bireciprocal lattice wave digital filter (BLWDF) bank, is presented to simulate scaling and wavelet functions of six-level wavelet transform. 1st order all-pass sections are utilized for the realization of such filter banks in wave lattice structures. The resulting structures are a bireciprocal lattice wave discrete wavelet filter banks (BLW-DWFBs). Implementation of these BLW-DWFBs are accomplished on Spartan-3E FPGA kit. Implementation complexity and operating frequency characteristics of such discrete wavelet 5th order filter bank is proved to be comparable to the corresponding characteristics of the lifting scheme implementation of Bio. 5/3 wavelet filter bank. On the other hand, such IIR filter banks possess superior band discriminations and perfect roll-off frequency characteristics when compared to their Bio. 5/3 wavelet FIR counterparts.
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References
S. Damjanović and L. Milić, "Examples of Orthonormal Wavelet Transform Implemented with IIR Filter Pairs", The 2005 International 114 Workshop on Spectral Methods and Multirate Signal Processing– SMMSP2005, Riga, Latvia, pp. 19 – 27, June, 2005.
S. Damjanović, L. Milić and T. Saramaki, "Frequency Transformations in Two-Band Wavelet IIR Filter Banks", EUROCON 2005; The International Conference on Computer as a Tool, Vol. 1, pp. 88 – 91, 2005. DOI: https://doi.org/10.1109/EURCON.2005.1629865
L. Milić, S. Damjanović and M. Nikolic, "Frequency Transformations of IIR Filters With Bank Applications", IEEE AsiaPacific Conference on Circuits and Systems, Singapore, December 2006. DOI: https://doi.org/10.1109/APCCAS.2006.342269
C. Jing and H. Y. Bin, "Efficient Wavelet Transform on FPGA Using Advanced Distributed Arithmetic", IEEE Eighth International Conference on Electronic Measurement and Instruments (ICEMI), 2007. DOI: https://doi.org/10.1109/ICEMI.2007.4350730
I. Dalal, " An Efficient FPGA Implementation of the Discrete Wavelet Transform", M.Sc. Thesis, Electrical and Computer Engineering, North Carolina State University, 2008.
M. Nagabushanam and S. Ramachandran, " Design and Implementation of Parallel and Pipelined Distributive Arithmetic Based Discrete Wavelet Transform IP Core", European Journal of Scientific Research, ISSN 1450-216X Vol. 35, No.3, pp.378-392, 2009.
H. Johansson and L. Wanhammar, "Wave Digital Filter Structures for High-Speed Narrow-Band and Wide-Band Filtering", IEEE Transactions on Circuits and Systems-II: Analog and Digital Signal Processing, Vol. 46, No. 6, June 1999. DOI: https://doi.org/10.1109/82.769781
J. M. Abdul-Jabbar, " An Analytical Design Procedure For Bireciprocal Lattice Wave Digital Filters with Approximate Linear Phase", Alrafidain Engineering Journal, Collage of Engineering, University of Mosul, Mosul, Iraq, Vol. 17, No. 6, PP. 42-52 , Dec. 2009. DOI: https://doi.org/10.33899/rengj.2009.43597
H. Ohlsson, "Studies on Implementation of Digital Filters with High Throughput and Low Power Consumption", M.Sc. Thesis,
Electrical Engineering, Linköping University, Sweden, June 2003.
L. Milić and T. Saramaki, "Three Classes of IIR Complementary Filter Pairs with an Adjustable Crossover Frequency", Proceedings of the 2003 International Symposium on Circuits and Systems, Vol. 4, pp. IV-145 - IV-148, May 2003.
E. Galijasevic and J. Kliewer, "on The Design of Near-Perfect-Reconstruction IIR QMF Banks Using FIR Phase-Compensation Filters", University of Kiel, 2nd International Symposium on Image and Signal Processing and Analysis , Pula, Croatia, pages 530-534, June 2001.
X. Zhang and H. Iwakura, "Design of QMF Banks Using Allpass Filters", IEE Electronics Letters, Vol.31, No.3, pp.172-174, 1995. DOI: https://doi.org/10.1049/el:19950097
S. Mitra, "Digital Signal processing", McGraw-Hill, New York, NY, 10020, ISBN 0-471-48422-9, 2001.
J. M. Abdul-Jabbar and S. N. M. Al-Faydi, "Design and Realization of Bireciprocal Lattice Wave Discrete Wavelet Filter Banks", to be published in Alrafidain Engineering Journal, Collage of Engineering, University of Mosul, Mosul, Iraq.
S. Damjanović, L. Milić,"A Family of IIR Two-Band Orhonormal QMF Filter Banks", Serbian Journal of Electrical Engineering, Vol. 1, No. 3, pp. 45-56, September 2004. DOI: https://doi.org/10.2298/SJEE0403045D
Z. Abed Ali, "Two-Dimensional Discrete Wavelet Transform Architecture for JPEG2000 filters", M. Sc. Thesis in Computer Engineering, Collage of Engineering, University of Mosul, Mosul, Iraq, 2007.