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Implementation of 2D Discrete Wavelet Transform by Number Theoretic Transform and 2D Overlap-Save Method

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  • Lina Yang
  • Yuan Yan Tang
  • Qi Sun

Abstract

To reduce the computation complexity of wavelet transform, this paper presents a novel approach to be implemented. It consists of two key techniques: (1) fast number theoretic transform(FNTT) In the FNTT, linear convolution is replaced by the circular one. It can speed up the computation of 2D discrete wavelet transform. (2) In two-dimensional overlap-save method directly calculating the FNTT to the whole input sequence may meet two difficulties; namely, a big modulo obstructs the effective implementation of the FNTT and a long input sequence slows the computation of the FNTT down. To fight with such deficiencies, a new technique which is referred to as 2D overlap-save method is developed. Experiments have been conducted. The fast number theoretic transform and 2D overlap-method have been used to implement the dyadic wavelet transform and applied to contour extraction in pattern recognition.

Suggested Citation

  • Lina Yang & Yuan Yan Tang & Qi Sun, 2014. "Implementation of 2D Discrete Wavelet Transform by Number Theoretic Transform and 2D Overlap-Save Method," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-15, May.
    • Handle: RePEc:hin:jnlmpe:532979
    DOI: 10.1155/2014/532979
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