For the controversy on the measurement of lightning impulse with superimposed overshoot or oscillation in IEC 60060-1 Ed.2.0（1989）

this paper introduces test voltage factor method

residual filtering method

and curve fitting method based on double exponential model

and indicates their superiority to other methods.The procedure for calculating digital waveforms with overshoot or oscillation in IEC 60060-1 Ed.3.0（2008） is analyzed

and the incoherence of waves and the ambiguity of definition in practice are presented.The procedure is accomplished with the analytical data of TDG1.12 to perform waveform process

parameter extraction

and result analysis.In addition

the references of wave parameters are suggested for dealing with lightning impulses and extracting the parameters.