博碩士論文 107521128 詳細資訊




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姓名 呂忠霖(Zhong-Lin Lu)  查詢紙本館藏   畢業系所 電機工程學系
論文名稱 晶圓瑕疵數預測與等效瑕疵效率值分析
(Wafer Defect Number Prediction and Equivalent Defect Efficiency Analysis)
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摘要(中) 在本篇論文中,我們以隨機灑點方式產生測試用合成晶圓,並建構迴力棒模型,
透過先前的研究得到的特徵參數對合成晶圓中的瑕疵數做更進一步的分析,希望能藉
由特徵參數得知的數據與真實平均瑕疵數比較,查看是否能準確推算平均瑕疵數,再
藉由平均瑕疵數的比較,獲得判斷晶圓群聚現象的等效瑕疵效率值,並將其應用於合
成及真實晶圓。
本篇研究中使用 Poisson 機率模型為基礎,先從中得知真實平均瑕疵數 λ0,再使
用先前研究中[11][16]各種特徵方程式來推測瑕疵數,藉由調整不同的參數條件:晶圓
大小、固定瑕疵數、特定區間瑕疵數等,來分析推測後的瑕疵數值與其分布,最後再
加以統計。
再來,根據先前的研究[16]所得之瑕疵效率值,我們將其做些微修正,利用修正
後的結果來分析合成及真實晶圓的群聚現象,並觀察在不同瑕疵效率值中判斷出晶圓
的結果為何,接著再與先前的研究[4]B-score 進行比較,可獲得一等式,利用此等式
進一步推導等效瑕疵效率值與標準差之間的關係。
最後,我們將等效瑕疵效率值應用在[13]的自製特殊晶圓上,觀察兩者的關係,
並從結果上來判斷我們所得之等效瑕疵效率值,再將這些參數與 B-score 進行比較,
驗證我們所推導之等式正確性,以及兩種參數的相關性。
摘要(英) In this paper, we randomly sprinkle dots to generate synthetic wafers for testing, and
construct a boomerang model. The number of defects in the synthetic wafer is further
analyzed through the characteristic parameters obtained from the previous research. We are
hoping that by the characteristic parameters of the data compared to the real average number
of defects, see if we can accurately calculate the average number of defects. Then, by
comparing the average number of defects, the equivalent defect efficiency value for judging
the phenomenon of wafer clustering is obtained, and it is applied to synthetic and real wafers.
The Poisson model is used as the basis for this research. First get the true average defect
number λ0, and then use various characteristic equations in previous research [11][16] to
estimate the number of defects. By adjusting different parameter conditions: wafer size, fixed
defect number, defect number in a specific interval, etc., analyze the estimated defect value
and its distribution, and finally make statistics.
Next, according to the equivalent defect efficiency value(EDE) obtained from the
previous research [16], we will make some slight corrections. Using the corrected results to
analyze the clustering phenomenon of synthetic and real wafers, and observe the results of the
wafers in different EDE. Then compared with the previous study [4] B-score to get an
equation that can be used to derive the relationship between the EDE and the standard
deviation.
Finally, we apply EDE to the homemade special wafer in [13], and observe the
relationship between the two and judge EDE we obtained from the result. Then compare these
parameters with B-score to verify the correctness of the equation we derive and the
correlation between the two parameters.
關鍵字(中) ★ 晶圓圖
★ 隨機性錯誤
★ 等效瑕疵數
★ 平均瑕疵數
★ 標準差
★ 瑕疵效率值
關鍵字(英) ★ wafer map
★ random error
★ equivalent defect number
★ average defect number
★ standard deviation
★ defect efficiency
論文目次 目錄
中文摘要 I
ABSTRACT II
誌謝 III
目錄 IV
圖目錄 VI
表目錄 IX
第一章 簡介 1
1-1 前言 1
1-2 研究動機 2
1-3 研究方法 2
1-4 論文架構 3
第二章 預備知識 4
2-1 相關研究 4
2-2 迴力棒特徵圖 6
2-2-1迴力棒特徵圖共生效應 6
2-2-2 特徵參數 NBD、NCL 8
2-2-3 特徵參數搜尋方式 8
2-2-4 特徵參數搜尋範例 9
2-2-5 損壞晶粒良率 YBD 10
2-3 POISSON機率模型 11
2-3-1 平均瑕疵數λW 11
2-3-2 平均瑕疵數λW校正 12
2-4 特徵參數: B-SCORE 13
2-5 CL參數的調整 14
2-5-1 理想CL計算 14
2-5-2 CL調整為CL` 15
2-5-3 CL調整為CL`` 16
2-6 等效瑕疵數的計算 17
2-7 等效瑕疵效率值 18
第三章 特徵參數及驗證 19
3-1 瑕疵數推測 19
3-1-1 特徵參數比較 19
3-1-2 λw、λw`、λw``統計與分析 22
3-1-3 晶圓大小與標準差之關係 24

3-2 等效瑕疵效率值修正 26
3-3 等效瑕疵效率值分析 29
3-4 等效瑕疵效率值與B-SCORE 31
3-4-1 EDE與B-score等式關係 31
3-4-2 EDE量化結果 32
第四章 等效瑕疵效率值與特殊晶圓 36
4-1 自製特殊晶圓分類 36
4-2 特殊晶圓實驗結果 37
第五章 結論 44
參考文獻 45
參考文獻 [1] Jwu-E Chen, Mill-Jer Wang, Yen-Shung Chang, Shaw Cherng Shyu, and Yung-Yuan Chen, “Yield Improvement by Test Error Cancellation”, in Test Symposium (ATS), pp.258-260, Nov. 1996.
[2] C. - K. Hsu, Lin, F., Cheng, K. - T. Tim, Zhang, W., Li, X., Carulli, J. M., and Butler, K. M., “Test data analytics - Exploring spatial and test-item correlations in production test data”, in Test Conference (ITC), pp.1-10, Sep. 2013.
[3] Ming-Ju Wu, Jyh-Shing Roger Jang, and Jui-Long Chen, “Wafer Map Failure Pattern Recognition and Similarity Ranking for Large-scale Datasets”, IEEE Transactions on Semiconductor Manufacturing, vol.28, no.1, pp.1-12, Feb. 2015.
[4] F. Lin, Hsu, C. - K., and Cheng, K. - T. Tim, “Learning from Production Test Data: Correlation Exploration and Feature Engineering”, in Test Symposium (ATS), pp.236-241, Nov. 2014.
[5] F. Lin, Hsu, C. - K., and Cheng, K. - T. Tim, “Feature engineering with canonical analysis for effective statistical tests screening test escapes”, in Test Conference (ITC), pp.1-10, Oct. 2014.
[6] Takeshi Nakazawa, and Deepak V. Kulkarni, “Wafer Map Defect Pattern Classification and Image Retrieval Using Convolutional Neural Network”, in IEEE TRANSACTIONS ON SEMICONDUCTOR MANUFACTURING, VOL. 31, NO. 2, MAY 2018
[7] 林正田,“Wafer Map Analysis from a Random-Defect-Source Perspective”,碩士論文﹐中央大學﹐2012.
[8] 曾國銓,“A Non-uniformly Distributed Defect Map Analysis by Quantification Model” , 碩士論文﹐中華大學﹐2013
[9] 蕭寶威,“Wafer Map Analysis from Random Distributed Defects”, 碩士論文﹐中央大學﹐2016.
[10] 葉昱緯,“Application of Boomerang Chart to Real-World Mass Production Wafer Maps”, 碩士論文﹐中央大學﹐2016.
[11] 吳雅軒,“Wafer Map Partition Analysis to Enhance Systematic Error Resolution”, 碩士論文﹐中央大學﹐2018.
[12] 林敬儒,“Identification of the Classifier for the Pattern of Spatial Randomness”, 碩士論文﹐中央大學﹐2018.
[13] 林威沅 ,“Verification of B-score Randomness by Synthetic Random Wafer Maps and Application to Special Patterns”, 碩士論文﹐中央大學﹐2019.
[14] 侯睿軒 "Model Refinement for the Classifier of the Spatial Pattern Randomness",碩士論文,中央大學,2019
[15] 吳承晏 "Applications of Yield and Randomness Homogeneity Tests to Wafer Map Analysis ",碩士論文,中央大學,2020
[16] 王佑庭” Equivalent Defect Evaluation and Its Application to Real-world Wafer Maps”,碩士論文,中央大學,2020
指導教授 陳竹一(Jwu-E Chen) 審核日期 2021-8-17
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