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Abstract

Wavelet transforms have proven to be useful tools for several applications, including signal analysis, signal compression and numerical analysis. This paper surveys the VLSI architectures that have been proposed for computing the Discrete and Continuous Wavelet Transforms for 1-D and 2-D signals. The architectures are based upon on-line versions of the wavelet transform algorithms. These architectures support single chip implementations and are optimal with respect to both area and time under the word-serial model.

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References

  1. M. Vishwanath, Time-Frequency Distributions: Complexity, Algorithms and Architectures, Ph.D. thesis, Pennsylvania State University, May 1993.

  2. M. Vishwanath, R.M. Owens, and M.J. Irwin “VLSI architectures for the discrete wavelet transform,”IEEE Trans. Circuits and Systems, Vol. 42, pp. 305–316, May 1995.

    Article  MATH  Google Scholar 

  3. G. Beylkin, R. Coifman, and V. Rokhlin, “Fast wavelet transforms and numerical algorithms i,” Preprint, Yale University, 1989.

  4. A.S. Lewis and G. Knowles, “VLSI architecture for 2-D Daubechies wavelet transform without multipliers,”Elec. Letters, Vol. 27, No. 2, pp. 171–173, Jan. 1991.

    Article  Google Scholar 

  5. R. Kronland-Martinet, J. Morlet, and A. Grossmann, “Analysis of sound patterns through wavelet transforms,”Intl. J. of Patt. Recog. and Artif. Intell., Vol. 1, No. 2, pp. 273–302, 1987.

    Article  Google Scholar 

  6. S. Mallat, “Multifrequency channel decompositions of images and wavelet models,”IEEE Trans. Acoustics Speech and Sig. Proc., Vol. 37, No. 12, pp. 2091–2110, Dec. 1989.

    Article  Google Scholar 

  7. M. Vishwanath, R.M. Owens, and M.J. Irwin, “An efficient systolic architecture for qmf filter bank trees,”Proc. of the 1992 IEEE Workshop on VLSI Signal Processing, pp. 175–184, Oct. 1992.

  8. W.R. Zettler, J. Huffman, and D.C.P. Linden, “Application of compactly supported wavelets to image compression,”SPIE/SPSE Symposium on Electronic Imaging Science and Technology, Vol. 1244, pp. 150–160, Feb. 1990.

    Google Scholar 

  9. O. Rioul and P. Duhamel, “Fast algorithms for wavelet transforms,”IEEE Trans. on Information Theory, Vol. 38, No. 2, pp. 569–586, March 1992.

    Article  MathSciNet  MATH  Google Scholar 

  10. S. Mallat, “A theory for multiresolution signal decomposition: The wavelet representation,”IEEE Trans. Pattern Analysis and Mach. Intell., Vol. 11, No. 7, pp. 674–693, July 1989.

    Article  MATH  Google Scholar 

  11. R.P. Brent and H.T. Kung, “The chip complexity of binary arithmetic,”Proc. 12th Annu. Ass. Comput. Mach. Symp. Theory Comput., pp. 190–200, May 1980.

  12. G. Knowles, “VLSI architecture for the discrete wavelet transform,”Elec. Letters, Vol. 26, No. 15, pp. 1184–1185, July 1990.

    Article  Google Scholar 

  13. M. Vishwanath, R.M. Owens, and M.J. Irwin, “Discrete wavelet transforms in VLSI,”Proc. Intl. Conf. on Application Specific Array Processors, pp. 218–229, Aug. 1992.

  14. K. Parhi and T. Nishitani, “VLSI architectures for discrete wavelet transforms,”IEEE Trans. on VLSI Systems, Vol. 1, No. 2, pp. 191–202, 1993.

    Article  Google Scholar 

  15. F. Fridman and E.S. Manolakos, “Distributed memory and control VLSI architectures for the 1-D discrete wavelet transform,”IEEE VLSI Signal Processing VII, 1994.

  16. R. Lang, E. Plesner, H. Schroder, and A. Spray, “An efficient systolic architecture for the one-dimensional wavelet transform,”Proceedings of SPIE Conference on Wavelet Applications, pp. 925–935, April 1994.

  17. C. Nagendra, M.J. Irwin, and R.M. Owens, “Digit pipelined discrete wavelet transform,”Proceedings of ICASSP, April 1994.

  18. M. Vishwanath, “The recursive pyramid algorithm for the discrete wavelet transform,”IEEE Trans. on Signal Processing, Vol. 42, pp. 673–676, March 1994.

    Article  Google Scholar 

  19. Z. Mou and P. Duhamel, “Short-length fir filters and their use in fast nonrecursive filtering,”IEEE Trans. on Signal Processing, Vol. 39, No. 6, pp. 1322–1332, June 1991.

    Article  Google Scholar 

  20. T. Denk and K. Parhi, “Architectures for lattice structure based orthonormal discrete wavelet transform,”Proceedings of the 1994 IEEE International Conference on Application Specific Array Processors, pp. 259–270, Aug. 1994.

  21. C. Chakrabarti and M. Vishwanath, “Efficient realizations of the discrete and continuous wavelet transforms: From single chip implementations to SIMD parallel computers,”IEEE Trans. on Signal Processing, Vol. 43, pp. 759–771, March 1995.

    Article  Google Scholar 

  22. J. Bae and V.K. Prasanna, “Synthesis of VLSI architectures for two dimensional discrete wavelet transforms,”Int. Conf. on Application Specific Array Processors, July 1995.

  23. C. Chakrabarti and C. Mumford, “Efficient realizations of analysis and synthesis filters based on the 2D discrete wavelet transform,”Proceedings of the Int. Conf. on Acoustics, Speech and Signal Processing, May 1996.

  24. T. Denk and K. Parhi, “Calculation of minimum number of registers in 2-D discrete wavelet transforms using lapped block processing,”Int. Symp. on Circuits and Systems, pp. 77–81, 1994.

  25. M. Vishwanath and C. Chakrabarti, “A VLSI architecture for real-time hierarchical encoding/decoding of video using the wavelet transform,”Int. Conf. on Acoustics, Speech and Signal Processing, pp. 401–404, 1994.

  26. M.J. Shensa, “The discrete wavelet transform: Wedding the a'trous and mallat algorithms,”IEEE Transactions on Signal Processing, Vol. 40, pp. 2464–2482, Oct. 1992.

    Article  MATH  Google Scholar 

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Chakrabarti, C., Vishwanath, M. & Owens, R.M. Architectures for wavelet transforms: A survey. J VLSI Sign Process Syst Sign Image Video Technol 14, 171–192 (1996). https://doi.org/10.1007/BF00925498

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  • DOI: https://doi.org/10.1007/BF00925498

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