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CMODIS installed in SZ-3 spacecraft is the first Chinese medium resolution spectrometer with 34 channels in the range from the visible to the infrared. Unfortunately, sharp and repetitive strips over the image exist in many channels of CMODIS can distractingly and obstructively affects the interpretation and application of CMODIS data. This paper: 1) discusses the causes of the striping; 2) presents a new frequency domain finite impulse response filter (FIR) for removing the striping in the data with minimum distortion into the filtered data; 3) quantitatively compares the results obtained with the new filtering method with those produced by traditional destriping methods (e.g., low pass filtering, moment matching) on the CMODIS georectified and no-georectified data of inhomogeneous targets. Results show that the finite impulse response filter, implemented in frequency domain, is superior to other methods evaluated in destriping and preservation of image information. The importance of proper destriping for classification is demonstrated. The finite impulse response filter is also applicable in striping removal of other multisensor remote Sensing data.