2C 2C n 2C 2C p C C C p n C 0.5C 0.5C n p p n n p C 0.5C 0.5C C Vinn 2C 2C p n 2C n 2C p C C p n C C n p 0.5C 0.5C p n n p 0.5C 0.5C Vinp C C 2C Sample (NDAC as example): 2C p n 2C C 2C C p n C C n p 0.5C 0.5C p n n p 0.5C 0.5C C C Q= (Vin-Vcm)8 Vcm=(Vrefn+Vrefp)/2 Resolve (NDAC up as example): Q= (Vx-Vcm)4+(Vx-Vbot)4 where: Vbot=(Vcm+Vrefn)/2 Vx=Vin-1/2(Vcm-Vbot)=Vin-1/2(1/2(Vcm-Vrefn)) Compare with Vin-1/2(Vcm-Vrefn) reference attenuate by half Reference 1 • [1] V. Hariprasath, J. Guerber, S. -. Lee and U. -. Moon, "Merged capacitor switching based SAR ADC with highest switching energyefficiency," in Electronics Letters, vol. 46, no. 9, pp. 620-621, 29 April 2010, doi: 10.1049/el.2010.0706. • [2] Y. Zhu et al., "A 10-bit 100-MS/s Reference-Free SAR ADC in 90 nm CMOS," in IEEE Journal of Solid-State Circuits, vol. 45, no. 6, pp. 1111-1121, June 2010, doi: 10.1109/JSSC.2010.2048498. • [3] H. Tai, Y. Hu, H. Chen and H. Chen, "11.2 A 0.85fJ/conversion-step 10b 200kS/s subranging SAR ADC in 40nm CMOS," 2014 IEEE International Solid-State Circuits Conference Digest of Technical Papers (ISSCC), San Francisco, CA, 2014, pp. 196-197, doi: 10.1109/ISSCC.2014.6757397. • [4] P. Lee, J. Lin and C. Hsieh, "A 0.4 V 1.94 fJ/conversion-step 10 bit 750 kS/s SAR ADC with Input-Range-Adaptive Switching," in IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 63, no. 12, pp. 2149-2157, Dec. 2016, doi: 10.1109/TCSI.2016.2617879. • [5] J. Lin and C. Hsieh, "A 0.3 V 10-bit 1.17 f SAR ADC With Merge and Split Switching in 90 nm CMOS," in IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 62, no. 1, pp. 70-79, Jan. 2015, doi: 10.1109/TCSI.2014.2349571. • [6] C. Liou and C. Hsieh, "A 2.4-to-5.2fJ/conversion-step 10b 0.5-to-4MS/s SAR ADC with charge-average switching DAC in 90nm CMOS," 2013 IEEE International Solid-State Circuits Conference Digest of Technical Papers, San Francisco, CA, 2013, pp. 280-281, doi: 10.1109/ISSCC.2013.6487735. Reference 2 • [7] S. Hsieh and C. Hsieh, "A 0.3-V 0.705-fJ/Conversion-Step 10-bit SAR ADC With a Shifted Monotonic Switching Procedure in 90nm CMOS," in IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 63, no. 12, pp. 1171-1175, Dec. 2016, doi: 10.1109/TCSII.2016.2605139. • [8] W. Wu et al., "A 0.6V 8b 100MS/s SAR ADC with minimized DAC capacitance and switching energy in 65nm CMOS," 2013 IEEE International Symposium on Circuits and Systems (ISCAS), Beijing, 2013, pp. 2239-2242, doi: 10.1109/ISCAS.2013.6572322. • [9] C. Liu, S. Chang, G. Huang and Y. Lin, "A 0.92mW 10-bit 50-MS/s SAR ADC in 0.13μm CMOS process," 2009 Symposium on VLSI Circuits, Kyoto, Japan, 2009, pp. 236-237. • [10] S. Hsieh and C. Hsieh, "A 0.44-fJ/Conversion-Step 11-Bit 600-kS/s SAR ADC With Semi-Resting DAC," in IEEE Journal of SolidState Circuits, vol. 53, no. 9, pp. 2595-2603, Sept. 2018, doi: 10.1109/JSSC.2018.2847306. • [11] C. Liu, S. Chang, G. Huang and Y. Lin, "A 10-bit 50-MS/s SAR ADC With a Monotonic Capacitor Switching Procedure," in IEEE Journal of Solid-State Circuits, vol. 45, no. 4, pp. 731-740, April 2010, doi: 10.1109/JSSC.2010.2042254. • [12] L. Chen, A. Sanyal, J. Ma and N. Sun, "A 24-µW 11-bit 1-MS/s SAR ADC with a bidirectional single-side switching technique," ESSCIRC 2014 - 40th European Solid State Circuits Conference (ESSCIRC), Venice Lido, 2014, pp. 219-222, doi: 10.1109/ESSCIRC.2014.6942061. Merged Capacitor Switch [1][2] Commenly used • Sample: top input; bottom Vcm • Switch: top residue; bottom reference • High switching energy • Relaxed matching requirement Three level switching Direct switching (DS) [3] Applied to Subrange SAR ADC • Coarse SAR resolve the n-bit MSB • Fine DAC switch skip unnecessary switch to save switching energy Additional coarse fine circuits • Note: coarse switch use split-cap switching method to keep the common mode voltage constant comparator dynamic offset does not affect the linearity. • Fine switch use monotonic switching method to save the switching energy input-range adaptive switching procedure [4] Applied to early/late comparator (two-bit per cycle) • Save MSB switching comparator result, (01 in the example, 11 doesn’t apply) Additional time domain quantizer added to comparator • Split cap method modification Charge-Average switching (CAS) [6] Charge-Average switching • Reduce the switching energy of the DAC without an extra voltage reference and common-mode shift Reset energy required (reset to equivalent bottom plate Vcm) • Split cap method modification Merge and split switching (MAS) [5] Modified CAS • Further reduce the switching energy Same as CAS Shifted Monotonic switching (SMS) [7] Modified monotonic switching • Further reduce the switching energy Comparator input common mode voltage not constant Three level reference needed Monotonic switching, set and down [9] [11] Same as set and down switching • Low switching energy • Two reference needed Comparator input common mode voltage not constant Bidirectional [12] Bidirectional Similar as monotionic Monotonic Multi-Switching (MMS) [8] Modified monotonic switching • Further reduce the switching energy Comparator input common mode voltage not constant Three level reference needed Semi-Resting (SR) Switching Method [10] Developed for low VDD SAR ADC • Double the conversion range (VDD as Vcm) • Low switching energy Comparator input common mode voltage not constant Need two DAC