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研究生:馬如達
研究生(外文):Ru-Da Ma
論文名稱:制約型疊代訊號還原演算法之研究
論文名稱(外文):The Study of Constrained Iterative Signal Restoration Algorithms
指導教授:許超雲許超雲引用關係
指導教授(外文):Chau-Yun Hsu
口試委員:許超雲
口試委員(外文):Chau-Yun Hsu
口試日期:2017-07-27
學位類別:碩士
校院名稱:大同大學
系所名稱:通訊工程研究所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2017
畢業學年度:105
語文別:中文
論文頁數:51
中文關鍵詞:誤差向量幅度帕波氏疊代演算法制約型疊代訊號還原演算法效能預估
外文關鍵詞:performance estimationEVMPGACISRA
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在過去數十年中,多種制約型疊代訊號還原演算法(CISRA)之應用及改善方法已經被大量地研究。然而,CISRA的還原能力與資料域與轉換域之掌握資訊之間的關係卻鮮少被討論。在此篇論文中,我們採用有名的離散型帕波式疊代演算法來當作測試範例。收斂的誤差向量幅度(EVM)及疊代次數兩種效能,將分別以其資料域及轉換域之各種組合模擬檢驗其效能。模擬結果顯示,若我們於收斂的EVM及疊代次數依需求給予限制條件,則本研究可精確地推導出於原訊號中,最多可遺失多少數量之取樣點而仍達還原條件。
The applications and improvements of many constrained iterative signal restoration algorithms (CISRAs) have been widely investigated during the past few decades. However, the recoverability of CISRA depending on the proportional relation between both partial knowledges of data domain and transformed domain were rarely discussed. In this thesis, a well-known CISRA, the discrete Papoulis-Gerchburg algorithm, is taken as an example for performance evaluation. Two performances, convergent error vector magnitude (EVM) of difference error and iteration number, are examined by considering all the combinations of samples on data domain and transformed domain respectively. The simulation results show that the maximum number of lost samples could be determined specifically when the criteria of convergent EVM and iteration number were given in demand.
謝誌i
摘要ii
ABSTRACTiii
目錄iv
圖目錄vi
表目錄viii
第壹章 緒論1
1.1 研究動機1
1.2 研究方法1
1.3 論文結構2
第貳章 文獻探討3
第参章 訊號還原演算法5
3.1 本研究所使用之訊號還原演算法原型5
3.2 本研究所使用之訊號還原演算法7
3.3 奈奎斯特取樣定理(Nyquist Sampling Theorem)9
3.4 線性內插(Linear Interpolation)12
3.5 誤差向量幅度(Error Vector Magnitude)14
3.6 標準差(Standard Deviation)16
第肆章 模擬驗證17
4.1 資料域數值組合評估方法20
4.2 轉換域數值組合評估方法28
4.3 還原效能評估36
4.4 訊號還原程度39
第伍章 結論46
參考文獻47
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