Abstract: Two FIR lowpass digital filters were designed for airborne vector gravimetry using windowfunction and Chebyshev approximation.Firstly,simulated heights were used to test the performanceof the filters.Secondly,GPS static positioning data was processed using these two filters during dataprocessing phase delay.The boundary effect is discussed explicitly and some conclusions are drawn asfollows:① With the same design parameters,Chebyshev approximation gets better results than thewindow function;②Ｔｈｅ　ａｃｃｕｒａｃｙ　ｏｆ　ｔｈｅ　ａｃｃｅｌｅｒａｔｉｏｎｓ　ｄｅｒｉｖｅｄ　ｆｒｏｍ　ＧＰＳ　ｓｔａｔｉｃ　ｐｏｓｉｔｉｏｎｉｎｇ　ｄａｔａ　ａｒｅ　ａ－ｂｏｕｔ±（１－２）ｍＧａｌ　ｉｎ　ｔｈｅ　ｖｅｒｔｉｃａｌ　ｄｉｒｅｃｔｉｏｎ　ａｎｄ　ｂｅｔｔｅｒ　ｔｈａｎ±１ｍＧａｌ　ｉｎ　ｔｈｅ　ｈｏｒｉｚｏｎｔａｌ　ｄｉｒｅｃｔｉｏｎ　ｗｈｅｎChebyshev approximation is used.