Gabor時頻與階次分析之探討暨工程應用｜國立中央大學博碩士論文系統

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研究生：	邱竣卿 Chun-Ching Chiu
論文名稱：	Gabor時頻與階次分析之探討暨工程應用
指導教授：	吳漢雄 John H. Wu 潘敏俊 Min-Chun Pan
口試委員:
學位類別：	碩士 Master
系所名稱：	工學院 - 機械工程學系 Department of Mechanical Engineering
畢業學年度：	91
語文別：	中文
論文頁數：	80
中文關鍵詞：	信號分析、振動與噪音、時頻分析、階次分析
外文關鍵詞：	Vibration and Noise, Signal Analysis, Time-Frequency Analysis, Order Analysis
相關次數：	點閱：17 下載：0
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論文中所探討的Gabor階次分析為一種新穎的旋轉機械階次分析法，相較於其他分析法，Gabor階次分析結合時頻分析與階次追蹤之特性。在時頻分析部分，利用Gabor轉換式，可將旋轉機械運轉時之動態信號呈現於時頻平面上，以解析該信號之時變特性；在階次追蹤部分，利用Gabor展開式並結合影像處理的技術，將時頻面上之階次信號分離出，對於該信號能量及相關物理現象有詮釋極大助益。
本文涵蓋緒論、時頻分析之理論基礎、Gabor階次分析之理論基礎與數值模擬、Gabor階次分析之工程應用、結論與未來展望以及附錄等。文中並討論不同窗函數之時頻解析度，以及對偶窗函數對於Gabor展開係數之影響，該係數影響了階次分析之精確性；並對Gabor階次分析之流程詳加探討。另於附錄中，亦將Gabor階次分析應用於雜訊消除。
在實際工程應用部分，分別對於自行設計組裝的傳動元件試驗平台、及兩台由不同傳動系統所構裝之電動機車進行運轉特性探討。藉由量測之振動及運轉噪音等動態信號，相互驗證Gabor與VKF兩階次追蹤法分離出階次信號之準確性；並釐清兩電動機車於運轉時主要的噪音源，以作為後續改進之依據。最後，以Gabor階次分析與VKF階次追蹤之間的優缺點探討作為結論。

略

摘  要......................................I
誌  謝.....................................II
目  錄....................................III
圖  目......................................V
表  目.....................................IX
第一章 緒論.................................1
1.1 研究動機................................1
1.2 相關文獻回顧............................2
1.3 本文研究範疇............................3
第二章 時頻分析之理論基礎...................5
2.1 快速傅立葉轉換..........................5
2.2 奈奎氏採樣定理	..........................6
2.3 解析信號................................7
2.4 測不準原理..............................9
2.5 窗函數之時頻解析度.....................10
2.6 短時間傅立葉轉換.......................12
2.6.1 離散短時間傅立葉轉換.............13
2.7 結語...................................15
第三章 Gabor階次分析之理論基礎與數值模擬...16
3.1 連續Gabor展開與轉換式..................16
3.2 離散Gabor展開與轉換式..................20
3.3 對偶窗函數對於Gabor展開係數的影響......23
3.4 Gabor階次分析之模擬信號測試............26
3.4.1 模擬信號之設計與條件.............26
3.4.2 Gabor階次分析之流程..............28
3.4.3 分析與結果.......................29
3.5 結語...................................37
第四章 Gabor階次分析之工程應用.............38
4.1 試驗平台之介紹與資料擷取、分析.........38
4.1.1 試驗平台簡介.....................39
4.1.2 資料擷取與實驗設計...............42
4.1.3 動態信號分析與結果...............43
4.2 電動機車騎乘噪音分析—測試車A..........49
4.2.1 實驗及量測條件...................49
4.2.2 動態信號分析.....................53
4.2.3 分析結果與討論...................59
4.3 電動機車騎乘噪音分析—測試車B..........60
4.3.1 實驗及量測條件...................60
4.3.2 動態信號分析.....................63
4.3.3 分析結果與討論...................66
4.4 結語...................................68
第五章 結論與未來展望......................69
附錄A 不同SNR值之數值模擬..................71
A.1 SNR=6 dB之環境雜訊.....................71
A.2 SNR=0 dB之環境雜訊.....................75
參考文獻...................................79

                                

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