The Convolution Theorem for Dyadic Wavelet Transform
Zheng Jian-guo · Mathematica Applicata · 2006
Applications of dyadic wavelet transform to signal processes is studied.We first show that the convolution and correlation of two dyadic wavelets who satisfy admissibility and regularity condition satisfy the admissibility and regularity condition,and then we derive the convolution and correlation theorem for the dyadic wavelet transform.Finally,we present numerical example showing the usefulness of applying the convolution theorem for the dyadic wavelet transform to perform signal restoration in the presence of additive noise.