Articles | Volume 5
Adv. Radio Sci., 5, 313–320, 2007
https://doi.org/10.5194/ars-5-313-2007
Adv. Radio Sci., 5, 313–320, 2007
https://doi.org/10.5194/ars-5-313-2007

  13 Jun 2007

13 Jun 2007

Phase noise and jitter modeling for fractional-N PLLs

S. A. Osmany, F. Herzel, K. Schmalz, and W. Winkler S. A. Osmany et al.
  • IHP Im Technologiepark 25, 15236 Frankfurt (Oder), Germany

Abstract. We present an analytical phase noise model for fractional-N phase-locked loops (PLL) with emphasis on integrated RF synthesizers in the GHz range. The noise of the crystal reference, the voltage-controlled oscillator (VCO), the loop filter, the charge pump, and the sigma-delta modulator (SDM) is filtered by the PLL operation. We express the rms phase error (jitter) in terms of phase noise of the reference, the VCO phase noise and the third-order loop filter parameters. In addition, we consider OFDM systems, where the PLL phase noise is reduced by digital signal processing after down-conversion of the RF signal to baseband. The rms phase error is discussed as a function of the loop parameters. Our model drastically simplifies the noise optimization of the PLL loop dynamics.

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