The VLSI Design for Discrete Wavelet Transform 微電子電路系 : 宋志雲 博士

Haar 離散小波轉換

二維三階離散小波轉換示意圖

傳統濾波器離散小波轉換 濾波器的長度 (Filter Tap) 為 4 其中 h m 代表低通濾波器的係數， g m 代表高通濾波器的係數 傳統濾波器正、反轉換架構圖

Living-based

Splitting 模組 : Lifting 模組： Scaling 模組：

Lifting-based 離散小波反轉換

Lifting algorithm for the 5/3 wavelet The analysis filter can be factorized as follow ： where α= － 1/2 ， β=1/4 Architecture for multi-level decomposition

Lifting – Based of 5/3 Filter Architecture

1-D 9/7 Wavelet Filters The analysis filter can be factorized as follow : where α,β,γ,δare the lifting coefficients,ζand 1/ζare scale normalization factors where α = β = γ = δ = ζ =

Lifting – Based of 9/7 Filter Architecture

Architecture for 2-D DWT Architecture for multi-level decomposition

Comparison

Experiment 5/3 濾波器架構中的實驗結果

PSNR(60.22)

9/7 濾波器架構中的實驗結果

PSNR(89.23)