This paper describes a fully integrated 8 GHz fractional-n synthesizer with an LC-VCO implemented in a 90 nm CMOS process. The synthesizer incorporates a combination of coarse and fine tuning for the VCO, along with a new frequency calibration circuit based on a digital quadri-correlator. This paper derives an integration friendly 3/sup rd/ order 3/5-bit noise shaper from a 6/sup th/ order loop gain. It is jointly optimized with the PLL parameters for low quantization phase noise. This synthesizer has a 1.25 GHz tuning range, 10 kHz resolution, a 20 /spl mu/s settling time, a reference sideband power below the noise floor and a phase noise of -100 dBc/Hz, -117dBc, -145dBc/Hz at 10 kHz, 1 MHz, 20 MHz from the carrier, respectively, and all fractional spurs below -60 dBc. The integrated in-band quantization noise is lower than -64 dBc (well below the other noise sources) and is 10 dB better than a 3rd order MASH implemented in the same process.