Cited by 8Analog and Mixed-Signal Circuit DesignLow-power high-performance VLSI designRadio Frequency Integrated Circuit Design

A low-power 10-bit 0.01-to-12-MS/s asynchronous SAR ADC in 65-nm CMOS

Open access
Campos, Arthur Lombardi, Navarro, João, Luppe, Maximiliam, de Lima, Eduardo Rodrigues·2021·Analog Integrated Circuits and Signal Processing

Abstract

During the last decades we have witnessed the performance improvement and the aggressive growth of the complexity of integrated circuits (ICs). The progressive size reduction of transistors in recent technological nodes has allowed and even compelled IC designers to perform analog tasks in the digital domain, increasing the demand for analog-to-digital converters (ADCs). This work presents the design and implementation of a low power, differential, asynchronous successive approximation register analog-to-digital converter (SAR ADC) in a 65-nm CMOS technology. The ADC works in a flexible range of sampling rates, from a few kS/s up to 12.0 MS/s, being suitable for application in a wide spectrum of low power systems and subsystems, such as biosignal recorder interfaces and frontend of wireless receivers. At maximum sampling rate, the post-layout simulated circuit achieved an effective number of bits (ENOB) of 9.65 and a power consumption of 151.4 µW, leading to a Figure of Merit of 15.8 fJ/Conversion-step; at 10.0 kS/s sampling rate, the ENOB is almost the same, 9.63, but the power consumption is reduced to only 0.26 µW. The occupied area of the implemented ADC is 0.074 mm 2 .

AI snapshot

Written from the paper’s full text.

TL;DR

This paper presents a 10-bit differential asynchronous SAR ADC in 65-nm CMOS designed for low-power, flexible-rate operation from 0.01 to 12 MS/s. Post-layout simulations show nearly constant ENOB around 9.6 while power scales from 0.26 µW at 10 kS/s to 151.4 µW at 12 MS/s.

Key findings

  • At 12.0 MS/s, the ADC achieved ENOB 9.65, SNDR 59.8 dB, power 151.4 µW, and FoM 15.8 fJ/Conversion-step; at 10.0 kS/s, ENOB was 9.63 with power reduced to 0.26 µW. Occupied area was 0.074 mm².
  • Typical-corner post-layout simulation gave worst DNL 0.52 LSB and INL 0.53 LSB, with gain error 18.1 LSB (<1.8% FS) and offset error −11.1 LSB (<1.1% FS).
  • DAC capacitor mismatch Monte Carlo showed DNL mean 0 and standard deviation 0.098 LSB, and ENOB mean 9.94 with standard deviation 0.047.
  • Under PVT worst cases at 12.0 MS/s, the circuit showed ENOB 9.44 (@FF, 1.32 V, 0 °C), power 228 µW (@FF, 1.32 V, 85 °C), and CER 4.95×10⁻⁹ (@SS, 1.08 V, 85 °C); typical CER was below 10⁻²⁵⁸ error/sample.

Methods

  • The work designed and simulated a differential asynchronous SAR ADC in 65-nm CMOS using a split binary-weighted capacitive DAC with merged capacitor switching, bootstrapped input switches, a low-kickback dynamic comparator, and custom asynchronous SAR logic.
  • Static DNL/INL were extracted by code density analysis from a transient simulation converting 10,240 samples of a differential ramp input; dynamic ENOB and power were extracted from transient simulations converting 1024 samples of a differential sinusoid near Nyquist, with 90% input range and 0.6 V common mode, using coherent sampling.
  • Metastability and CER were estimated from comparator transient simulations with geometrically spaced input voltages to extract the regeneration time constant τ = 29 ps, then evaluated across process, supply, and temperature corners.

Limitations

  • The paper states that some digital circuitry was implemented with foundry standard cells, so better power consumption could be achieved using only custom cells; it also states that CER is the most PVT-sensitive parameter, with the exponent varying from −601 in the typical case to −26.7 in the worst tested condition, causing CER to range from 10⁻²⁵⁸ to 10⁻⁹, and that limiting supply to VDD ±5% greatly reduces CER.
  • Evident from the text: all reported ADC performance results are post-layout simulation results, not measured silicon results; Table 3 explicitly labels this work as “*Post-layout simulation results” while the compared works are marked as measurement typical results. No fabricated-chip measurement validation is reported.

Model-written summary. Check it against the paper before relying on it.

Integrity signals

Registry

Crossref · 10.1007/s10470-020-01742-6

Cites

31 of 31 references verified0 citation errors · 0 not checkable

Statistics

Nothing to recompute.

Claims the paper makes

0 of 23 cited sources checked · 0 supported · 0 flagged

  • Findingown data

    The implemented ADC occupies an area of 0.074 mm2.

    “The occupied area of the implemented ADC is 0.074 mm 2 .”
    Quote in the paperNot a substantial claim
  • Findingown data

    The designed differential asynchronous SAR ADC in 65-nm CMOS operates over a flexible sampling-rate range from a few kS/s up to 12.0 MS/s.

    “The ADC works in a flexible range of sampling rates, from a few kS/s up to 12.0 MS/s, being suitable for application in a wide spectrum of low power systems and subsystems, such as biosignal recorder interfaces and frontend of wireless receivers.”
    • Also stated in: § 1 Introduction · plain
      “This work presents the design and implementation of a low power, differential, asynchronous successive approximation register analog-to-digital converter (SAR ADC) in a 65-nm CMOS technology, with a flexible sampling rate ranging from a few kS/s up to 12 MS/s.”
    Quote in the paperSubstantial claim
  • Findingown data

    Most of the ADC current consumption occurs in the interval between the rising of the sampling clock and the rising of the eoc flag.

    “Most of the ADC current consumption is observed to occur in the interval between the rising of the sampling clock signal (triggering of the asynchronous logic circuit) and the rising of the eoc flag.”
    Quote in the paperSubstantial claim
  • Findingown data

    At 10.0 kS/s sampling rate, the ENOB is 9.63.

    “In post-layout simulations, at maximum sampling rate of 12.0 MS/s, the circuit achieved an ENOB of 9.65 and a power consumption of 151.4 lW, leading to a Figure of Merit of 15.8 fJ/Conversion-step; at 10.0 kS/s sampling rate, the ENOB is almost the same, 9.63, but the power consumption is cut to only 0.26 lW.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Post-layout simulations accurately predict the performance of the fabricated ADC.
  • Findingown data

    At 10.0 kS/s sampling rate, the power consumption is 0.26 uW.

    “In post-layout simulations, at maximum sampling rate of 12.0 MS/s, the circuit achieved an ENOB of 9.65 and a power consumption of 151.4 lW, leading to a Figure of Merit of 15.8 fJ/Conversion-step; at 10.0 kS/s sampling rate, the ENOB is almost the same, 9.63, but the power consumption is cut to only 0.26 lW.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Post-layout simulations accurately predict the performance of the fabricated ADC.
  • May combine two claims. 26
  • Classified as probably not a substantial claim. 1
  • May combine two claims.

    Findingown data

    At 10.0 kS/s sampling rate, the ADC achieved an ENOB of 9.63 and a power consumption of 0.26 lW.

    “at 10.0 kS/s sampling rate, the ENOB is almost the same, 9.63, but the power consumption is reduced to only 0.26 lW.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    At maximum sampling rate, the post-layout simulated ADC achieved an ENOB of 9.65 and a power consumption of 151.4 lW, yielding a Figure of Merit of 15.8 fJ/conversion-step.

    “At maximum sampling rate, the post-layout simulated circuit achieved an effective number of bits (ENOB) of 9.65 and a power consumption of 151.4 lW, leading to a Figure of Merit of 15.8 fJ/Conversion-step;”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingcitation

    The applied merged capacitor switching scheme reduced the current sink from vrefp and kept low the power consumption wasted with the DAC charge distribution.

    “Additionally, the applied merged capacitor switching scheme [12] reduced the current sink from vrefp and kept low the power consumption wasted with the DAC charge distribution.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [12] Hariprasath, V., Guerber, J., Lee, S.-H., & Moon, U.-K. (2010). Merged capacitor switching based SAR ADC with highest switching energy-efficiency. Electronics Letters, 46(9), 620–621. source
    • Rests on an assumption: Post-layout simulations accurately predict the performance of the fabricated ADC.
  • May combine two claims.

    Findingown data

    Capacitor mismatches influence ENOB, which has mean 9.94 and standard deviation 0.047.

    “The capacitor mismatches also influence the effective number of bits, ENOB, which will have mean of 9.94 and standard deviation of 0.047.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    The biggest contributions to the power consumption are given by the digital circuitry (current sinking from vddd) and by the capacitive DAC (current sinking from vrefp).

    “The biggest contributions to the power consumption are given by the digital circuitry (current sinking from vddd) and by the capacitive DAC (current sinking from vrefp).”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: Post-layout simulations accurately predict the performance of the fabricated ADC.
  • May combine two claims.

    Findingown data

    The exponent t_margin/s can change from -601 in the typical case to -26.7, the highest value obtained among all tested conditions.

    “Notice that the exponent can change from -601, in the typical case, to -26.7, the highest valor obtained among all tested conditions.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Post-layout simulations accurately predict the performance of the fabricated ADC.
  • May combine two claims.

    Findingown data

    DNL errors caused only by DAC capacitor mismatches have mean zero and standard deviation 0.098 LSB.

    “The DNL errors mean and standard deviation are zero and 0.098 LSB, respectively.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Premisecitation

    Asynchronous SAR ADCs require only one clock signal to control sampling, which relaxes clock distribution requirements.

    “On the other hand, asynchronous SAR ADCs [7,8] require only one clock signal to control the sampling.This feature relaxes the clock distribution requirements.”
    Quote in the paperSubstantial claim0 of 2 sources checked
    • cites [7] Chen, S.-W.M., & Brodersen, R. W. (2006). A 6-bit 600-MS/s 5.3-mW asynchronous ADC in 0.13-µm CMOS. IEEE Journal of Solid-State Circuits, 41(12), 2669–3680. source
    • cites [8] Harpe, P., Zhou, C., Wang, X., Dolmans, G., & de Groot, H. (2010). A 30fJ/Conversion-Step 8b 0-to-10MS/s asynchronous SAR ADC in 90nm. In: 2010 IEEE International Solid-State Circuits Conference (ISSCC), Feb (pp. 388–389). source
  • May combine two claims.

    Premisecitation

    The designed ADC has a differential architecture to minimize common-mode noise effects and reduce even-order harmonic distortion.

    “Additionally, the designed ADC has a differential architecture to minimize the effects of common-mode noise and to reduce the even order harmonics distortion [2].”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [2] de Plassche, R. J. V. (2003). CMOS integrated analog-to-digital and digital-to-analog converters. Dordrecht: KAP. source
  • May combine two claims.

    Interpretationreasoning

    The proposed ADC can handle from a single neural signal, with power consumption lower than 1.0 lW, up to almost 500 diverse neural signals.

    “The proposed ADC can handle from a single neural signal, with power consumption lower than 1.0 lW, up to almost 500 diverse neural signals.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: A single neuronal signal requires an ADC with no more than 20 kS/s, at least 10 bits, and minimum power consumption to avoid damaging living cells and extend battery life.
  • May combine two claims.

    Premisecitation

    The SAR architecture has few analog blocks, only switches and one comparator, and a simple design, making it well suited for moderate-resolution and low-to-medium data-rate applications.

    “The SAR architecture, which presents few analog blocks (only switches and one comparator) and a simple design, is well suited for moderate resolution and low-to-medium data rate applications [3].”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [3] Fredenburg, J., & Flynn, M. P. (2015). ADC trends and impact on SAR architecture and analysis. In: 2015 IEEE Custom Integrated Circuits Conference (CICC), Sept (pp. 1–8). source
  • May combine two claims.

    Premisenone given

    Setting M and L, the numbers of switches in the main and sub DACs, to 5 and 4 leads to the minimal number of unitary capacitors needed to implement the arrays, improving matching and connection routing.

    “M and L, the number of switches in the main and in the sub DAC, were set to 5 and 4, respectively, because this choice leads to the minimal number of unitary capacitors needed to implement the arrays, improving the matching and connection routing between these devices.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Study design and conductreasoning

    Errors due to charge injection should not be greater than VLSB, constraining the maximum allowed W11 by Eq. (3).

    “The errors due to charge injection should not be greater than V LSB = V FS /2 N , and the maximum allowed W 11 is constrained by”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Premisecitation

    Latch offset, when the common-mode voltage is kept constant, is not affected by input values, is almost time invariant, and slightly influences ADC linearity.

    “In fact, the latch offset, when the common-mode voltage is kept constant, is not affected by the input values and, in consequence, is almost time invariant and slightly influence the ADC linearity [16].”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [16] Liu, C.-C., Chang, S.-J., Huang, G.-Y., & Lin, Y.-Z. (2010). A 10-bit 50-MS/s SAR ADC with a monotonic capacitor switching procedure. IEEE Journal of Solid-State Circuits, 45(4), 731–740. source
  • May combine two claims.

    Study design and conductreasoning

    The utilization of the delayed version of next_bit_set, bit_set_dly, provides a longer time for the preparation of the node bit and ensures that this signal is stable when s0_n is set to high, avoiding glitches in the NAND gates.

    “The utilization of the delayed version of next_bit_set, bit_set_dly, will provide a longer time for the preparation of the node bit and ensure that this signal is stable when s0_n is set to high.This will avoid glitches in the NAND gates.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Interpretationreasoning

    Better power consumption could be achieved if only custom cells were employed instead of foundry standard digital library cells.

    “Some of the digital circuitry was implemented with cells from the foundry standard digital library, which means that better power consumption could be achieved if only custom cells were employed.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: Post-layout simulations accurately predict the performance of the fabricated ADC.
  • May combine two claims.

    Premisenone given

    Parasitic capacitances at nodes vdac_n/vdac_p and vdac_nx/vdac_px introduce additional offset and gain errors; if those capacitances are Cp and Cpx, the offset error is around (16Cp - Cpx)/Cu LSB.

    “In addition to the errors caused by the bridge capacitor value, parasitic capacitances between nodes vdac_n, vdac_p, vdac_nx, and vdac_px and V DD or ground will introduce an additional offset and gain errors.If the parasitic capacitances in the nodes vdac_n/vdac_p are C p and in the nodes vdac_nx/vdac_px are C px , the offset error is around (16ÁC p ? C px )/C u LSB.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Study design and conductnone given

    Due to the careful design of the DAC Switch Control logic, the nodes s0, s1, and s2 are never set to high at the same time, avoiding temporary short circuits between VCM and VREFN or VREFP power sources.

    “Note that, due to the careful design of the DAC Switch Control logic, the nodes s0, s1, and s2 are never set to high at the same time, avoiding temporary short circuits between V CM and V REFN or V REFP power sources.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Premisecitation

    A custom combinational asynchronous SAR logic based on the circuit described in [8], with modifications to support the merged capacitor switching scheme, allows manual device placement, presents reduced power consumption, and uses only one clock source.

    “In this work, a custom combinational asynchronous SAR logic, based on the circuit described in [8], with modifications to support the merged capacitor switching scheme was employed.This asynchronous logic allows a ''manual'' device placement, presents reduced power consumption and makes use of only one clock source.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [8] Harpe, P., Zhou, C., Wang, X., Dolmans, G., & de Groot, H. (2010). A 30fJ/Conversion-Step 8b 0-to-10MS/s asynchronous SAR ADC in 90nm. In: 2010 IEEE International Solid-State Circuits Conference (ISSCC), Feb (pp. 388–389). source
  • May combine two claims.

    Premisecitation

    The dynamic comparator topology of [15] has a low regeneration time constant and reduced kickback noise.

    “The dynamic comparator topology of [15] was considered in this work since it presents a low regeneration time constant and, as an additional advantage, a reduced kickback noise.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [15] Huang, Y., Schleifer, H., & Killat, D. (2013). Design and Analysis of Novel Dynamic Latched Comparator with Reduced Kickback Noise for High-speed ADCs. In: 2013 European Conference on Circuit Theory and Design (ECCTD), Sept (pp. 1–4). source
  • May combine two claims.

    Interpretationreasoning

    In the bootstrapped circuit, (VG - vin) = VDD, so at first analysis charge injection would affect vdac_p and vdac_n evenly and would not affect ADC evaluation.

    “In the bootstrapped circuit, (V Gvin) = V DD and, at first analysis, the charge injection would affect vdac_p and vdac_n evenly.In this case, the ADC evaluation would not be affected by the charge injection.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Interpretationown data

    The ADC can operate with sampling rate ranging from 10 kS/s up to 12 MS/s with practically constant ENOB and reduced power consumption.

    “The table shows that the ADC can operate with sampling rate ranging from 10 kS/s up to 12 MS/s with practically constant ENOB and reduced power consumption, confirming that the ADC is suitable for a wide spectrum of low power applications.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Post-layout simulations accurately predict the performance of the fabricated ADC.
  • May combine two claims.

    Premisecitation

    Implementing the bridge capacitor as a unitary capacitor introduces a -1.0 LSB offset and a tolerably small gain error in the DAC transfer curve.

    “When the bridge capacitor is implemented as a unitary capacitor, a common practice as mentioned, a -1.0 LSB (Least Significant Bit) offset and a tolerably small gain error are introduced in the DAC transfer curve [13].”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [13] Zhang, D. (2012). Design of Ultra-Low-Power Analog-to-Digital Converters, Ph.D thesis, The Institute of Technology at Linköping University, Linköping.
  • May combine two claims.

    Premisereasoning

    The DAC implementation without Cf and with Cbridge = Cu causes only offset and small gain errors, but not alteration in the code length of the transfer curve.

    “Since the offset errors due to the parasitic capacitors are probably higher than 1.0 LSB and the DAC implementation without C f and with C bridge = C u causes only offset and small gain errors, but not alteration in the code length of the transfer curve, such implementation was chosen for application in the ADC.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Offset errors due to parasitic capacitors are probably higher than 1.0 LSB.
  • May combine two claims.

    Premisecitation

    The merged capacitor switching scheme provides good switching efficiency and low digital circuitry complexity.

    “It provides good switching efficiency and a low digital circuitry complexity.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [12] Hariprasath, V., Guerber, J., Lee, S.-H., & Moon, U.-K. (2010). Merged capacitor switching based SAR ADC with highest switching energy-efficiency. Electronics Letters, 46(9), 620–621. source
  • May combine two claims.

    Interpretationreasoning

    The wide variation in the exponent causes a huge variation in the CER value, which goes from 10^-258 to 10^-9.

    “This wide variation in the exponent will cause, in turn, a huge variation in the CER value, which goes from 10 -258 to 10 -9 .”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Post-layout simulations accurately predict the performance of the fabricated ADC.
  • May combine two claims.

    Interpretationown data

    A low power, differential, asynchronous 10-bit SAR ADC was successfully designed, drawn to layout and simulated.

    “A low power, differential, asynchronous 10-bit SAR ADC was successfully designed, drawn to layout and simulated.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Post-layout simulations accurately predict the performance of the fabricated ADC.
27 of 27
  • The paper relies on this without support.

    A single neuronal signal requires an ADC with no more than 20 kS/s, at least 10 bits, and minimum power consumption to avoid damaging living cells and extend battery life.

    “A single neuronal signal needs, for its capture, an ADC with no more than 20 kS/s, at least 10 bits, and minimum power consumption in order to not damage the living cells and extend batteries life.”
  • The paper relies on this without support.

    Offset errors due to parasitic capacitors are probably higher than 1.0 LSB.

    “Since the offset errors due to the parasitic capacitors are probably higher than 1.0 LSB”
  • The paper relies on this without support.

    At very low sampling frequencies, ADC power consumption is dominated by static power consumption.

    “This relation is compromised for very low sampling frequencies, once in this case the ADC power consumption is dominated by the static power consumption.”
  • The paper relies on this without support.

    The symmetry in the layout of a differential ADC can affect the system linearity.

    “The symmetry in the layout of a differential ADC can affect the system linearity.”
  • The paper relies on this without support.

    Any asymmetry in the comparator implementation directly affects its offset voltage.

    “Although the comparator presents itself as a single circuit, any asymmetry in its implementation directly affects its offset voltage.”
  • The paper relies on this without support.

    For the least significant bits, the delay of the logic circuits is enough to ensure the small amount of charge is properly redistributed before the next comparison.

    “For the least significant bits, however, delay cells were not necessary because the delay of the logic circuits is enough to ensure the small amount of charge is properly redistributed before the next comparison.”
  • The paper relies on this without support.

    Post-layout simulations accurately predict the performance of the fabricated ADC.

    “The performance of the ADC was verified by running postlayout simulations with Cadence Spectre simulator.”
7 of 7

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Authors
Campos, A. L., Navarro, J., Luppe, M., & de Lima, E. R.
Affiliations
Universidade de São Paulo (BR)
Corresponding author
Luppe, Maximiliam
Venue
Analog Integrated Circuits and Signal Processing
Published
2021-01
Volume
106
Issue
1
Pages
321-337
ISSN
  • 0925-1030 (ISSN-L)
  • 1573-1979
OpenAlex
W3128291763
Cited by
8
References
31
Citations by year
2026: 4 · 2025: 2 · 2024: 1 · 2021: 1
FWCI
0.14
Type
journal article
Language
en
Open access
Locations
Analog Integrated Circuits and Signal Processing (publishedVersion, cc-by)
Topics
  • Physical Sciences › Engineering › Biomedical Engineering › Analog and Mixed-Signal Circuit Design
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Low-power high-performance VLSI design
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Radio Frequency Integrated Circuit Design
Keywords
successive approximation register ADC, asynchronous ADC, low-power analog-to-digital converter, 65 nm CMOS, differential input, energy efficiency, 10-bit resolution

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