This paper presents a 10.0-11.5 Gb/s full-rate phase and frequency detector integrated with the clock recovery circuit (CRC) for application in optical receivers. A rotational phase and frequency detector (RPFD) without external reference clock is proposed to train the conventional bang-bang phase detector (BBPD) to capture the clock frequency. The proposed RPFD shows 1.5 GHz capture range and works in the high speed data rate of 10 Gb/s. Only one closed loop is used to track the internal clock. The acquisition time for the clock frequency to adjust from 11.5 to 10 GHz is 160 ns. The fabricated chip occupies 0.7 mm in 90 nm CMOS process with -108.8 dBc/Hz at 1-MHz offset and consumes 52 mW power with 1.0-V supply.