This　paper　proposes　an　all-digital　blind　calibration　architecture　for　timing　mismatch　of　a　four-channel　time-interleaved　analog-to-digital　converter　(TIADC).　By　calculating　the　cross-correlation　between　the　signal　and　its　derivative,　the　linear　combination　of　the　timing　mismatch　can　be　estimated.　Then　the　mismatch-induced　error　signal　is　calibrated　by　the　cascade　of　the　differentiator　and　multiplier.　Simulation　results　of　a　12-bit　1GS/s　four-channel　TIADC　behavioral　model　verify　the　effectiveness　of　our　method.　The　Spurious　Free　Dynamic　Range　(SFDR)　is　enhanced　from　34.49dB　to　76.21dB.　Compared　with　other　methods,　this　method　requires　only　one　filter,　which　has　the　advantages　of　low　hardware　cost　for　implementation.　©　2020　IEEE.