Analysis of VLSI Architecture For AI Based 1D/2D wavelet filter using Daub-6 Wavelet Filter

Authors

  • M.Mercy Parimala

Keywords:

1-DWT, 2-DWT, Wavelets, Daub-4, Daub-6 filters, Verilog

Abstract

A multiplier-less architecture based on algebraic integer representation for computing the Daubechies-6-tap wavelet transform for 1-D/2-D signal processing is proposed. This architecture improves on previous designs in a sense that it minimizes the number of parallel 2-input adder circuits. The algorithm was achieved using brute-force numerical optimization of the algebraic integer representation. The proposed architecture furnishes exact computation up to the final reconstruction step, which is the operation that maps the exactly computed filtered results from algebraic integer representation to fixed-point. Compared to our recent work, this architecture shows a reduction of 27.n-16 adder circuits, where is the number of wavelet decomposition levels. The design is physically implemented for a 4-level 1-D/2-D decomposition using a Xilinx Virtex-6 vcx240t-lff1156 field programmable gate array (FPGA) device operating at up to a maximum clock frequency of 344/ 168MHz. The FPGA implementation of 1-D/2-D are tested using hardware co-simulation using an ML605 board with clock of 100 MHz. A 45 nm CMOS synthesis of 2-D designs show improved clock frequency of better than 306 MHz for a supply voltage of 1.1 V.

References

K. Wahid, V. Dimitrov, and G. Jullien, “Analysis of VLSI architectures for AI based 1-D/2-D Daub-6 wavelet Filter banks with low Adder count,” J. Circuits, Syst. Comp., vol. 13, no. 6, pp. 1251–1270, 2004.

K. A. Wahid, V. S. Dimitrov, G. A. Jullien, and W. Badawy, “An algebraic integer based encoding scheme for implementing Daubechies discrete wavelet transforms,” in Proc. Asilomar Conf. Signals, Syst.Comp., 2002, vol. 1, pp. 967–971.

K. A. Wahid, V. S. Dimitrov, G. A. Jullien, and W. Badawy, “An analysis of Daubechies discrete wavelet transform based on algebraic integer encoding scheme,” in Proc. Third Int. Workshop DCY, 2002, pp.27–34.

G. Xing, J.Li, S. Li, andY.-Q.Zhang, “Arbitrarily shaped video-object coding by wavelet,” IEEE Trans. Circuits Syst. Video Technol., vol. 11, no. 10, pp. 1135–1139, 2001.

S. Murugesan and D. B. H. Tay, “New techniques for rationalizing orthogonal and biorthogonal wavelet filter coefficients,” IEEE Trans. Circuits Syst., vol. 59, no. 3, pp. 628–637, Mar. 2011.

J. Walker, A Primer on Wavelets and their Scientific Applications. Boca Raton, FL: Chapman & Hall/ CRC Press, 1999.[7] B. K. Mohanty, A. Mahajan, and P. K.Meher, “Area- and power-efficient architecture for high-throughput implementation of lifting 2-D DWT,” IEEE Trans. Circuits Syst.—II: Express Briefs, vol. 59, pp. 434–438, 2012.

B. K. Mohanty and P. K. Meher, “Memory-efficient high-speed convolution-based generic structure for multilevel 2-D DWT,” IEEE Trans.Circuits Syst. Video Technol., vol. 23, pp. 353–363, 2013.

M. A. Islam and K. A. Wahid, “Area- and power-efficient and Daubechies wavelet transforms using folded AIQ mapping,” IEEE Trans. Circuits Syst. II, vol. 57, no. 9, pp. 716–720, Sep. 2010.

K. A. Wahid, M. A. Islam, and S.-B. Ko, “Lossless implementation of Daubechies 8-tap wavelet transform,” in Proc. IEEE Int. Symp. Circ. Syst., Rio de Janeiro, Brazil, May 2011, pp. 2157–2160.

Y.Wu, R. J. Veillette, D. H. Mugler, and T. T. Hartley, “Stability analysis of wavelet-based controller design,” in Proc. American Control Conf., 2001, vol. 6, pp. 4826–4827.

K. A. Wahid, V. S. Dimitrov, and G. A. Jullien, “Error-free arithmetic for discrete wavelet transforms using algebraic integers,” in Proc. 16th IEEE Symp. Comput. Arithmetic, 2003, pp. 238–244.

S.-C. B. Lo, H. Li, and M. T. Freedman, “Optimization of wavelet decomposition for image compression and feature preservation,” IEEE Trans. Med. Imag., vol. 22, no. 9, pp. 1141–1151, 2003.

M. Martone, “Multiresolution sequence detection in rapidly fading channels based on focused wavelet decompositions,” IEEE Trans. Commun., vol. 49, no. 8, pp. 1388–1401, 2001.

B. K. Mohanty and P. K. Meher, “Merged-cascaded systolic array for VLSI implementation of discrete wavelet transform,” in Proc. APCCAS, 2006, pp. 462–465.

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How to Cite

M.Mercy Parimala. (2020). Analysis of VLSI Architecture For AI Based 1D/2D wavelet filter using Daub-6 Wavelet Filter. International Journal of Research & Technology, 8(4), 76–84. Retrieved from https://ijrt.org/j/article/view/527

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