卡門濾波器定義兩個模式來解決估測上的問題：這二個模式分別是訊號模式和觀測模式。在本篇論文中，信號模式是由頻率上的乾淨圖與污染圖的比例所得到。觀測模式是從電子取樣中加入的雜訊所建立。在卡門濾波器中，由信號模式所得到的生成雜訊的統計資訊是很重要的。本篇論文是集中在信號模式中頻的生成雜訊變異數所探討。在得到推導的變異數後，在以後我們就可以應用卡門濾波器來估測受到污染的成像系統的光學轉移函數。

Kalman filter addresses an estimation problem defined by two models: the signal model and the observation model. In this thesis, the signal model is obtained from a ratio of the defected and clean pictures in frequency domain. The observation model is built for an additive measurement noise from electronic sampling. The statistics of the generating noise for the signal model is important in Kalman filtering. The focus of this thesis is to derive the variance of the generating noise in the middle band for the signal model. By this derived variance, the Kalman filter is thus possible to be applied to estimate the optical transfer function for a defected imaging system in the future.

中文摘要
英文摘要
目錄
圖表目錄
第1章 引言3
第2章 光學影像系統之基礎5
2.1 同調之影像系統5
2.2 非同調之影像系統7
2.3 同調轉移函數與OTF之間的關係9
第3章 自相關函數10
3.1 透射雜訊10
3.2 自相關函數之期望值11
3.3 污染透鏡OTF之期望值16
3.4 自相關的估測與熱雜訊的影響18
第4章 實驗方法與分析34
4.1 實驗的模型34
4.2 影像還原35
第5章 結論37
附錄38
參考文獻43

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