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The concept of phase-domain fractional-N frequency synthesis is presented. Synthesizers using this architecture can achieve fast frequency switching without limiting the minimum channel spacing. In this architecture, a numerical phase comparator is used in conjunction with weighting coefficients, as a linear weighted phase-frequency detector. The synthesizer output spur level is determined by two factors. Namely, the delay of the numerical phase comparator, and the accuracy of the digital-to-analog convertor (DAC) used to convert the phase error to the analog domain. A novel second-order timing-error cancelation scheme is proposed to eliminate the effect of the phase comparator delays. Using this technique together with a 10-bit accuracy DAC, a maximum spur level of less than -65 dBc is simulated for a 900-MHz synthesizer. The settling time of the simulated synthesizer is less than 7 μs, and is independent of the channel spacing. The details of the synthesizer architecture, design considerations, and system-level simulations are presented. Implementation issues including the DAC accuracy and timing-error effects are discussed extensively throughout the text.