To　the　fractal　profiles　synthesized　by　discrete　Fourier　transform,　the　relationship　between　fractal　parameters　(fractal　dimension　D,　scale　factor　C)　and　traditional　parameters,　the　influence　of　fractal　parameters　on　the　geometric　shape　of　profiles,　and　the　influence　of　fractal　parameters　on　filtering　are　studied　respectively.　It　is　found　that　if　the　power　spectrum　of　a　profile　is　assumed　to　fit　the　power　law　strictly,　a　quantitative　relationship　between　fractal　parameters　and　root　mean　square　deviation　can　be　established　by　Parseval　theorem,　but　the　rest　of　traditional　parameters　are　still　random　and　not　linear　related.　Fractal　dimension　D　influences　the　energy　ratio　between　high　frequency　components　and　low　frequency　components　of　a　profile.　D　increasing,　the　high　frequency　components　of　a　profile　are　increased,　which　makes　the　geometric　shape　of　a　profile　appear　rougher.　With　the　same　fractal　dimension,　if　the　scale　factor　is　larger,　the　root　mean　square　deviation　is　larger.　When　a　fractal　profile　is　filtered　to　be　smooth,　more　energy　can　be　preserved　in　a　profile　with　smaller　D.　©　2011　Journal　of　Mechanical　Engineering.