具有離散化係數之無限脈衝響應數位濾波器與濾波器組之最小尖波設計

Abstract

由於數位信號上的廣泛應用，數位濾波器與濾波器組的設計在此領域扮演了極為重要的角色。在本論文提出基因演算法以及WLS演算法結合CORDIC演算法設計基於無限脈衝響應全通濾波器架構具有離散化係數之正交鏡像濾波器組以及非均勻濾波器組。 設計之正交鏡像濾波器組以及非均勻濾波器組具有近似線性相位且無振幅失真，藉由在相位響應上形成適當的Chebyshev近似。 在每一章節中，我們設計提出設計實例來驗證，模擬結果令人滿意。

Owing to the increasing use of digital signal processing, the design of digital filters and filter banks plays an important role in this filed .In this thesis we present genetic algorithm and WLS algorithm with CORDIC algorithm for QMF banks and non-uniform division filter banks based on 1-D IIR all-pass filters with discrete coefficients . The resulting two-channel QMF banks and non-uniform division filter banks can possess approximately linear phase response without magnitude distortion. The effectiveness of the proposed techniques is achieved by forming an appropriate Chebyshev approximation of a desired phase response . In each chapter，we design some examples and the simulation examples are demonstrated and satisfy，