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Design of a 1.2MS/s Charge-Redistribution Non-Binary SAR-ADC utilizing the SKY130 Open-Source Technology

Author: Manuel Moser, 2023, Johannes Kepler University (JKU) Linz, Austria, Institute for Integrated Circuits (IIC).
This SAR-ADC has been designed in the context of a Master's thesis, it is published on the JKU ePUB repository.

ADC top 3D render with Blender Figure 1: 3D render of the SAR-ADC layout made with Blender and gdsiistl.

Abstract

The proposed design is a versatile non-binary, asynchronous (= self clocked) 12 bit SAR-ADC (successive approximation register analog-to-digital converter), using a segmented 12 bit capacitive DAC with 9 bit thermometer-coded capacitor array and 3 bit binary capacitor cells. The SAR-ADC Layout has previously been added to the IIC Mixed-Signal Circuits Submission for the Open MPW-8 Shuttle.

SAR ADC block diagram
Figure 2: The block diagram of the proposed 12-bit SAR-ADC. Image obtained and adapted from [1].

Key Features

  • Differential analog inputs.
  • ADC physical resolution of 12 bit, up to 16 bit with oversampling.
  • Sample rate configurable in a broad range from 28S/s (low-power biosensor applications) up to 1.2MS/s.
  • Non-binary SAR weights for error correction capability.
  • Oversampling FIR boxcar filter with 1/4/16/64/256 samples to increase the resolution.
  • Averaging of 4 least significant SAR weights with 1/3/7/15/31 samples to reduce the impact of comparator noise.
  • Clock generator with a configurable frequency. The clock generator layout has been hardened with OpenLane using a gate level description of the clock loop. The delay elements in the loop use a custom high-delay standard cell sky130_mm_sc__hd_dlyPoly5ns which fits into the sky130_fd_sc__hd_ standard cell grid.
  • Integrated switched capacitor voltage generator for the common mode reference voltage.
  • 12 bit capacitor DAC:
    • Unit capacitor with $C^{1}$=0.447 fF.
    • 3 bit binary-coded cells with 1x1, 1x2 and 1x4 unit capacitors $C^{1}$ + $C^{2}$ + $C^{4}$ for LSB bits.
    • 9 bit thermometer-coded cells with 1x8 unit capacitors $C^{8}_{1..511}$=3.58 fF.
    • The total capacitance per DAC matric is 1.83 pF.
  • The thermometer-code row/column decoder can be switched from a sequential to a symmetrical mode to decrease the integral nonlinearity error.
  • Total area of $442 \mu m \cdot 402\mu m = 178.000 \mu m^2$, the area decreases to $124.000 \mu m^2$ if the $V_\mathrm{CM}$ voltage generator is not included.
  • 100% open source, licensed with Apache 2.0

Performance characteristics

Characterization of the ADC has been done through post-layout simulation with parasitic C extraction. For the typical setting, the SAR-ADC has been configured to use 3 samples per LSB averaging, 4 samples oversampling, and a symmetric thermometer-code sequence. The clock generator has been set to use the lowest delay configurations (00001), as a result, the ADC is sampling at 824 kS/s with a Nyquist bandwidth of 103 kHz. The waveforms obtained in the simulation can be seen in Fig. 3, and the results are summarized in Table 1.

Post-layout simulation SAR ADC AVG-3 OSR-4
Figure 3: The plots show the simulation result of the post-layout simulation at 3 samples per average, oversampling factor 4, and 824 kS/s sample rate.

Table 1: Summary of the SAR-ADC characteristics obtained from simulation.

Parameter Min Typ Max
$V_\mathrm{DD}$ (V) - $1.8$ -
Area (µm²) $0.124^a$ $0.178$ -
DAC resolution (bit) - $12 $ -
Result (bit) - $12 $ $16$
Oversampling factor $1 $ $4 $ $256$
LSB Averaging (samples) $1 $ $3 $ $31$
Sample rate (kS/s) $7.36$ $824$ $1203$
Nyquist Bandwidth (kHz) $0.014$ $103$ $602$
Average PD (µW) $68^b$ $335^c$ -

$^a$ Without the integrated $V_\mathrm{CM}$ generator.
$^b$ Low-power test case, delay_1,2,3 = 11111, $N_\mathrm{avg}$ = 31.
$^c$ Typical-power test case, delay_1,2,3 = 00001, $N_\mathrm{avg}$ = 3.

Top-Level Interface

The configuration bytes config_1_in and config_2_in are used to activate the sequential/symmetrical row/column decoder modes and to configure the delays in the self-clocked loop. The configuration port mapping is described in doc/interface.md. rst_n will reset the circuit active-low. After reset de-assertion the circuit waits for the trigger signal start_conversion_in, an edge-detection-circuit ensures that only one conversion is triggered if the start signal stays high. A single conversion is done when conversion_finished_out changes to HIGH, additionally, conversion_finished_osr_out signalizes a finished OSR sequence and an update of the result at the output. Input signal clk_vcm is the clock signal for the switched-capacitor voltage generator, it is designed for a low frequency of 32.768 kHz.

block diagram adc top
Figure 4: Block diagram of the SAR-ADC

//Top module ADC Control
module adc_top(
   `ifdef USE_POWER_PINS
      inout VDD,	// User area 1.8V supply
      inout VSS,	// User area ground
   `endif
   input wire clk_vcm,        // 32.768Hz VCM generation clock
   input wire rst_n,          // reset
   input wire inp_analog,     // P differential input
   input wire inn_analog,     // N differential input
   input wire start_conversion_in,   
   input wire [15:0] config_1_in,    
   input wire [15:0] config_2_in,    
   output wire [15:0] result_out,       // format: {12 bit, 4 bit OSR extension}    
   output wire conversion_finished_out,
   output wire conversion_finished_osr_out
   );

References

[1] S. Schmickl, T. Faseth and H. Pretl, "An Untrimmed 14-bit Non-Binary SAR-ADC Using 0.37 fF-Capacitors in 180 nm for 1.1 µW at 4 kS/s," 2020 27th IEEE International Conference on Electronics, Circuits and Systems (ICECS), Glasgow, UK, 2020, pp. 1-4, doi: 10.1109/ICECS49266.2020.9294971.

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Fully-differential asynchronous non-binary 12-bit SAR-ADC

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