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

Abstract EN

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.