Noise-aware simulation-based sizing and optimization of clocked comparators

Comparators are essential components of ADCs, and largely affect their overall performance. Among the performance metrics of the comparator, the noise is the most difficult to estimate and simulate, specially for circuits that present a time-varying behavior such as clocked comparators. In this work we present a framework to size and optimize comparators which uses periodic steady-state (PSS) and periodic noise (PNOISE) analyses, commonly employed for RF circuits, together with an optimization kernel based on evolutionary algorithms. We present a case study comparator design, taking into account noise, power and delay. The results show that the proposed framework minimizes these parameters and achieves systematic convergence to consistent Pareto fronts in a short timespan (approximately 27 mins). Furthermore, the accuracy of the PSS/PNOISE noise estimation method is validated through comparison to extensive transient noise simulations, showing a difference standard deviation of 3.47 % between the two methods.

[1]  Arthur H. M. van Roermund,et al.  A 2.2/2.7fJ/conversion-step 10/12b 40kS/s SAR ADC with Data-Driven Noise Reduction , 2013, 2013 IEEE International Solid-State Circuits Conference Digest of Technical Papers.

[2]  Jan Craninckx,et al.  A 65fJ/Conversion-Step 0-to-50MS/s 0-to-0.7mW 9b Charge-Sharing SAR ADC in 90nm Digital CMOS , 2007, 2007 IEEE International Solid-State Circuits Conference. Digest of Technical Papers.

[3]  Jorge R. Fernandes,et al.  An 8-bit 0.35-V 5.04-fJ/Conversion-Step SAR ADC With Background Self-Calibration of Comparator Offset , 2015, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

[4]  R. Havens,et al.  Noise modeling for RF CMOS circuit simulation , 2003 .

[5]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[6]  K. S. Kundert Introduction to RF simulation and its application , 1999 .

[7]  Pierluigi Nuzzo,et al.  Noise Analysis of Regenerative Comparators for Reconfigurable ADC Architectures , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[8]  Jaeha Kim,et al.  Simulation and Analysis of Random Decision Errors in Clocked Comparators , 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

[9]  Jaeha Kim,et al.  Impulse sensitivity function analysis of periodic circuits , 2008, ICCAD 2008.

[10]  Ali Hajimiri,et al.  A general theory of phase noise in electrical oscillators , 1998 .