A 1.8 GHz phase-locked loop (PLL) with a self-calibration circuit implemented in'0.35 pm CMOS process is presented. The calibration circuit continuously adjusts the delay mismatches among the delay cells in a ring-type voltage controlled oscillator (VCO) and automatically cancels the phase offsets in the multi-phase clock signals generated from the VCO. An edge-combining fractional-N frequency synthesizer with the self-calibrated PLL has been implemented and successfully eliminates -1 3 dBc fractional spur occurred by the delay mismatches in the VCO.synthesize the output signals. Consequently, the division ratio becomes (M+l/8). When the PLL is locked, the phase offset caused by the delay mismatches introduces phase errors at the input of the phase frequency detector (PFD) in the PLL. Fig 3 shows the input waveforms of the PFD. The amount of phase error, At, corresponds to the phase offset of the i-th delay cell. Since a PLL behaves to make the average phase error zero in the locking mode, the sum of the individual phase error becomes zero when the PLL is locked.In other word,
At, + A t l i . . . i A t , = O .Assume the phase offset of the 1" delay cell is changed by All. Then, after the PLL is locked again, the resulted phase offset becomes: