You can certainly reduce the background noise, but as stated already it will be a very fine line between reduction and distortion. You will need an audio editor that has a clipboard noise reduction feature. Look at Goldwave it is a cheap editor but does give you lots of features for the money.

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Edius Pro 4 Broadcast, Edius DVX, ADVC300 -- PremPro 2.0, Matrox RT X100