In　this　paper,　we　present　an　adaptive　calibration　method　for　correcting　channel　mismatches　in　time-interleaved　analog-to-digital　converters　(TIADCs).　An　equivalent　signal　recombination　structure　is　proposed　to　eliminate　aliasing　components　when　the　input　signal　bandwidth　is　greater　than　the　Nyquist　bandwidth　of　the　sub-ADCs　in　a　TIADC.　A　band-limited　pseudorandom　noise　sequence　is　employed　as　the　desired　output　of　the　TIADC　and　simultaneously　is　also　converted　into　an　analog　signal,　which　is　injected　into　the　TIADC　as　the　training　signal　during　the　calibration　process.　Adaptive　calibration　filters　with　parallel　structures　are　used　to　optimize　the　TIADC　output　to　the　desired　output.　The　main　advantage　of　the　proposed　method　is　that　it　avoids　a　complicated　error　estimation　or　measurement　and　largely　reduces　the　computational　complexity.　A　four-channel　12-bit　400-MHz　TIADC　and　its　calibration　algorithm　are　implemented　by　hardware,　and　the　measured　spurious-free　dynamic　range　is　greater　than　76　dB　up　90%　of　the　entire　Nyquist　band.　The　hardware　implementation　cost　can　be　dramatically　reduced,　especially　in　instrumentation　or　measurement　equipment　applications,　where　special　calibration　phases　and　system　stoppages　are　common.