Optimal quantization noise management in wideband fractional-N PLLs

Quantization errors often produce the dominant phase noise component in wide-band fractional-N phase locked loops (PLLs). Recently, a few techniques have been proposed to alleviate the issue, at the cost of extra components. This work illustrates the possibility to significantly reduce the impact of quantization errors without additional building blocks, only relying on an optimal design of the noise shaping features of the ΔΣ modulator driving the PLL divider. In a representative design example the reduction in the peak noise density appreciated via linearized models can be better than 18 dB.

[1]  Ian Galton Delta-Sigma Fractional-N Phase-Locked Loops , 2017 .

[2]  Gabor C. Temes,et al.  Understanding Delta-Sigma Data Converters , 2004 .

[3]  Ian Galton,et al.  A Wide-Bandwidth 2.4 GHz ISM Band Fractional-$N$ PLL With Adaptive Phase Noise Cancellation , 2007, IEEE Journal of Solid-State Circuits.

[4]  Riccardo Rovatti,et al.  A 3-GHz Serial ATA Spread-Spectrum Clock Generator Employing a Chaotic PAM Modulation , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  Michael H. Perrott PLL Design Using the PLL Design Assistant Program , 2005 .

[6]  Zhihua Wang,et al.  An FIR-Embedded Noise Filtering Method for $\Delta \Sigma$ Fractional-N PLL Clock Generators , 2009, IEEE Journal of Solid-State Circuits.

[7]  Sergio Callegari,et al.  Noise Weighting in the Design of $\Delta\Sigma$ Modulators (With a Psychoacoustic Coder as an Example) , 2013, IEEE Transactions on Circuits and Systems II: Express Briefs.

[8]  Mitchell D. Trott,et al.  A modeling approach for ΣΔ fractional-N frequency synthesizers allowing straightforward noise analysis , 2002, IEEE J. Solid State Circuits.

[9]  Scott E. Meninger Design of a Wideband Fractional-N Frequency Synthesizer Using CppSim , 2005 .

[10]  Sergio Callegari,et al.  Chaotic modulations can outperform random ones in electromagnetic interference reduction tasks , 2002 .

[11]  Michael H. Perrott,et al.  Fractional-N frequency synthesizer design at the transfer function level using a direct closed loop realization algorithm , 2003, Proceedings 2003. Design Automation Conference (IEEE Cat. No.03CH37451).

[12]  Sergio Callegari,et al.  On the Approximate Solution of a Class of Large Discrete Quadratic Programming Problems by $\Delta\Sigma$ Modulation: The Case of Circulant Quadratic Forms , 2010, IEEE Transactions on Signal Processing.

[13]  Sergio Callegari,et al.  Output Filter Aware Optimization of the Noise Shaping Properties of ΔΣ Modulators Via Semi-Definite Programming , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[14]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.