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.

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.

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 $C_{1..511}^8$=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.

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.

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.