Lightning is a natural phenomenon that may be devastating and destructive for our modern life essentially based on electrical, electronic, communication and networking devices. While more than five hundred flashes with different intensities may strike the surface of the earth each second, a single lightning flash may destroy an electric, a telecommunication or a networking transmission line, which may cause a huge economical loss. This destructive effect of lightning is one of the reasons that led to the study of hghtning from the seventies. This thesis deals with denoisiiig the lightning current derivative signals recorded at the CN Tower using the adaptive techniques.