A full digital adaptive method is proposed for time deviation on-line blind calibration of the timeinterleaved analog-to-digital converter（ TIADC）. For TIADC with wide sense stationary（ WSS） band-limited input

this method can achieve time calibration within three-step iterations. Only the first-order statistics are needed to estimate time mismatches and the adders/subtractors and one constant coefficient derivative filter to correct errors.The first-order Taylor series are employed to reduce computations

and the errors due to these approximations can be compensated by variable stepsize iteration manner during time calibration. Theoretical analysis and experiments show that the proposed method has the advantages of low complexity and fast convergence rate

the performances of the spurious free dynamic range（ SFDR） and the signal-to-noise ratio（ SNR） in the first Nyquist frequency can be improved about 44～ 52 d B and 29～ 38 d B

respectively.