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A fully integrated 1.175-2-GHz differentially tuned frequency synthesizer aimed for digital video broadcasting-terrestrial tuners is implemented in a 0.18-mum CMOS process. To maintain phase-noise optimization and loop stability over the entire output frequency range, techniques of constant loop bandwidth are proposed. The voltage-controlled oscillator gain K VCO and band step f res are both maintained by simultaneously adjusting the sizes of switched capacitors and varactors. Charge pump current I CP is programmed to compensate the variation of the division ratio N . The measured results show an in-band phase noise of -97.6 dBc/Hz at a 10-kHz offset and an integrated phase error of 0.63 deg from 100 Hz to 10 MHz. The measured variations of K VCO and f res are less than 12.5% and 4.5%, respectively. The variations of the measured phase noise at 10-kHz and 1-MHz frequency offsets are less than 1 dB. The measured 3-dB closed-loop bandwidth is 110 kHz and the variation is less than 9%. The chip draws 10-mA current from a 1.8-V supply while occupying a 2.2-mm2 die area.