The latest progress and the research direction on reducing spectrum leakage in periodic signal measurement and analysis are simply introduced firstly

and a synchronization method of re-locating the second sampling coordinate is presented.Then

a formula for locating the second sampling coordinate

and a synchronization algorithm (1

st

order linear

2

nd

order parabolic

and 4

th

order interpolation etc.)

and their theoretial truncation errors are also discussed in this paper.By computer simulation lastly

through the synchronization calculation and the error analysis of various harmonic signals

the theoretical and practical error characteristics of the linear synchronization algorithm

and the practical error characteristics of the 2

nd

order parabolic and 4

th

orde

r interpolation synchronization algorithm are obtained.Simulation results show that the algorithm could be used not only in steady state signal analysis

but also in periodical non-steady state process signal analysis.