適應性濾波（adaptive filtering）在壓抑二維數位圖像（2D digital image）資料中的隨機雜信（random noise）上是一種很有效的信號處理方式。近年來，有許多的適應性濾波處理技巧被用來濾除地球物理探勘數據中所遭遇的隨機雜波，本研究使用並改良了其中兩種適應性濾波器─二維中值濾波器（2D median filter）以及二維適應性維那濾波器（2D adaptive Wiener filter），來處理淺層地球物理反射探勘數據。
為使適應性濾波器能得到最佳濾波結果，本研究提出了一套創新的最佳濾波視窗設計法，以能隨信號主頻率而改變的可調濾波視窗設計，大幅提高二維中值濾波器以及二維適應性維那濾波器的濾波效能。
一組模擬的雜信環境共炸點集聚（common-shot gather）以及一組模擬的雜信環境地下異常物反射剖面（profile）分別被用來測試兩種適應性濾波器的濾波效果，並將適應性濾波器的濾波結果與傳統有限脈衝響應（finite impulse response, FIR）帶通濾波器（band pass filter）的濾波結果做比較與討論。
經模擬的模型信號處理證實最佳視窗二維中值濾波器以及最佳視窗二維適應性維那濾波器可有效濾除隨機雜信後，本研究分別用此兩種最佳視窗適應性濾波器處理兩組實際野外資料，其中一組為南投竹山槽溝震波測勘資料，另一組為宜蘭清水透地雷達（ground penetrating radar, GPR）測勘資料。
兩筆野外資料的濾波結果均可看出在實際野外測勘資料的處理中，濾波器也都能成功的壓抑隨機雜波，提高信噪比（signal to noise ratio, S/N ratio），且二維中值濾波器在強化信號上更為優異，而二維適應性維那濾波器則可更成功的重建原始信號。

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