Open AccessImplementation of 2D Discrete Wavelet Transform by Number Theoretic Transform and 2D Overlap-Save Method
Author(s) -
Lina Yang,
Yuan Yan Tang,
Qi Sun
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/532979
Subject(s) - discrete wavelet transform , second generation wavelet transform , wavelet transform , stationary wavelet transform , harmonic wavelet transform , algorithm , computation , convolution (computer science) , wavelet packet decomposition , s transform , sequence (biology) , mathematics , lifting scheme , wavelet , computer science , artificial intelligence , arithmetic , biology , artificial neural network , genetics
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
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