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研究生: 陳家川
論文名稱: 修正式FxNLMS於主動式噪音控制之應用
Toward The Application of Modified FxNLMS Algorithm on Active Noise Control
指導教授: 陳建祥
口試委員:
學位類別: 碩士
Master
系所名稱: 工學院 - 動力機械工程學系
Department of Power Mechanical Engineering
論文出版年: 2005
畢業學年度: 93
語文別: 中文
論文頁數: 79
中文關鍵詞: 主動式噪音控制前饋式聲場回饋第二聲場因果性正規化最小均方法
外文關鍵詞: Active Noise Control, Feedforward ANC, Acoustic Feedback, The Secondary Acoustic Path, Causality, NLMS, Modified Filtered-x LMS
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  • 主動式噪音控制(Active Noise Control, ANC)的基本概念為利用額外的噪音控制聲源來製造一反噪音(Anti-noise),使其振幅大小與原噪音相同,而相位卻恰好相反;並利用聲波在空氣中之疊加原理(Principle of Superposition),使反噪音與原噪音互相產生破壞性干涉,來達成噪音控制的效果。此ㄧ概念最早在1936年即被提出,但由於近年來數位訊號處理器(Digital Signal Processor, DSP)之技術的蓬勃發展才得以實現。主動式噪音控制在諸多交通運輸業、製造業等易產生低頻噪音之載具及機械上皆有多方面的應用性,而其特性優點甚至可應用於助聽器以及耳機等消費商品上。
    本文主要利用數位訊號處理器來實現以修正式(Modified)Filtered-x NLMS(MFxNLMS)為控制器主體統之前饋式噪音控制系統。由於利用正規化因子來調變濾波器之參考訊號,其收斂速度將優於修正式Filtered-x LMS(MFxLMS)演算法之控制結果。本文在實驗部份除了達成窄頻、寬頻之噪音消除,更達成了選擇性地消除單一頻率或ㄧ個範圍頻帶之音訊。此一可行性研究將有利往後於日常生活中更廣泛之應用。


    Active noise control (ANC) is achieved by introducing a canceling “anti-noise” wave through a control source. The anti-noise of equal amplitude and opposite phase is generated and combined with the undesired noise based on the principle of superposition, thus resulting in cancellation of both noises. Although the idea of ANC was first proposed in 1936, the practical applications were successfully implemented in recent decade due to the available of low cost and efficient digital signal processor (DSP). ANC has been widely applied to transportations, manufacturing, and consumer products.
    This thesis will focus on the practical aspects of ANC system in utilizing modified filtered-x NLMS(MFxNLMS) algorithm for real-life applications. The normalized step size can be updated based on the power of reference signal, the convergent speed of this proposed method will faster than traditional modified filtered-x LMS(MFxLMS) scheme. Experiments show that MFxNLMS not only cancels narrow-band and broadband signals quite effectively, but also selectively cancels signals with pre-specified frequency or pre-specified band.

    第一章 緒論 1 1.1 背景與研究動機 1 1.2 文獻回顧 3 1.3 本文目的 4 1.4 本文架構 4 第二章 控制系統及理論基礎 6 2.1 系統描述 6 2.1.1 聲場回饋現象(Acoustic Feedback) 7 2.1.2 第二聲場路徑(The Secondary Acoustic Path) 8 2.1.3 因果性問題(Causality problem) 8 2.2 控制理論 9 2.2.1 LMS 演算法 10 2.2.2 LMS 演算法之性能分析 10 2.2.3 NLMS 演算法 13 2.2.4 NLMS 演算法之性能分析 14 2.3 控制理論評析 14 2.4 控制系統設計 15 2.4.1 解決聲場回饋問題 16 2.4.2 補償第二聲場路徑之影響 18 2.5 控制器參數之選擇 23 2.5.1 數位訊號處理器之運算能力測試 23 2.5.2 待鑑別系統之脈衝響應 25 2.5.3 收歛因子與系統因果性 29 2.6 結語 30 第三章 實驗系統架構 31 3.1 實驗系統架構 31 3.2 實驗設備介紹 33 3.2.1 聲管系統(Acoustic Duct System) 33 3.2.2 揚聲器(Loud Speaker) 33 3.2.3 電容式麥克風(Condenser Microphone) 34 3.2.4 訊號產生器(Function Generator) 35 3.2.5 數位訊號處理器(Digital Signal Processor, DSP) 35 第四章 實驗結果與討論 37 4.1 混合頻率噪音之控制 37 4.1.1 混合頻率噪音之消除 38 4.1.2 混合頻率噪音之選擇性頻率消除 40 4.2 連續頻帶噪音之控制 42 4.2.1 連續頻帶噪音之消除 42 4.2.2 連續頻帶噪音之選擇性頻帶消除 46 4.3 聲場非耦合性之測試 48 4.4 聲管末端封閉之主動式噪音控制 50 4.5 實驗結果討論 54 第五章 結論與未來發展之建議 55 5.1 結論 55 5.2 未來發展之建議 56 參考文獻 57 附錄[A] 揚聲器 63 附錄[B] 電容式麥克風 65 附錄[C] Preamplifier 66 附錄[D] 訊號產生器 67 附錄[E] 數位訊號處理器 67

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