To meet the demand of high precision frequency estimation of cosine vibration signal

a new algorithm based on frequency-offset correction is proposed. The algorithm estimates the frequency-offset

with which the frequency of signal can be revised

by Candan algorithm after sampling the continuous time signal. For the signal revised

use Liang algorithm to estimate the frequency-offset again. The ultimate estimated frequency is given by adding the two estimated frequency together. By frequency-offset revision

the proposed algorithm avoids the decrease of precision caused by interpolation error of Candan algorithm and characteristics of Liang algorithm. The new algorithm guarantees the real-time signal processing

although it increases the amount of computation. Numerical results demonstrate that the mean square error of frequency estimation of the improved algorithm is more closer to the Cramer-Rao lower bound（ CRLB） bound character is prior to the existing frequency estimation algorithm.