數位適應性濾波器的設計與實現
學生：鄧光祥 指導教授：邱炳樟
國立台灣科技大學電子研究所碩士班
中華民國 九十四 年 七 月

中文摘要

本論文主要是介紹數位系統的通道衰變的適應性濾波器的設計實作，而適應性濾波器最大的功用就是用來處理隨機程序產生的干擾，這中間的關聯性非常大，所以本論文首先說明適應性濾波器的應用，然後說明最佳化濾波器的理論，隨後導入適應性濾波器的架構，之後介紹一些常用的適應性演算法，最後用RLS與NLMS適應性演算法藉由硬體描述語言hardware descript language(HDL)來實現簡單的數位適應性濾波器硬體電路，在此是用verilog的語法來作一實現。再用軟體模擬驗證，把它的電路圖秀出，最後對未來研究方向做個討論。

Abstract

Adaptive filter is the most important structure to many application.,the use of adaptive filter has become popular. echo cancellation, channel equalization……… are the typical applications. In the thesis , the RLS and NLMS filtering algorithms with verilog are implemented. Verilog is a hardware descript language . the task of it is to implement the electronic structure that people want to implement.
RLS is a common algorithm for adaptive filter .It has very good performance,but its structure is complex because of the operation of divider ,the goal is to reduce the complexity and implement the architecture with the software,Xilinx .
NLMS algorithm is an another popular adaptiving algorithm , its structure is easier than RLS structure, the goal of designing NLMS is to improve the rate of converge of LMS ,so it can converge faster than LMS.
The design is evaluated in the platform of Xilinx and the thesis concludes the validility and performance of optimum filter、the common adaptive algorithm and the application of adaptive filter.the content will derivative the process and descript the point in detail.

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