SDG Electronics

SAR ADC amplifier driver

SAR ADC amplifier driver with circuit equations and operating-limit checks.

Development preview. Check the assumptions below before relying on a result. Calculations run in your browser.

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How it calculates

Conservative settle budget: t = ΔV/SR + (τRC + τamp)(N+2) ln 2

Time constants: τRC = (Rsource+Riso)(Cf+Csh); τamp = NG/(2πGBW)

Residual bound: error/FS ≤ exp(−tavailable/(2τRC)) + exp(−tavailable/(2τamp))

Assumptions

  • Budget allocates a quarter LSB to each linear first-order stage after a full slew interval; this is conservative and is not an exact nonlinear transient. Stability model is the OA-18 local-feedback approximation. Switch resistance, multiplexed charge transfer, ADC kickback details and amplifier overload recovery need device models. A low phase margin invalidates the first-order settling approximation.

Worked example

These are the calculator's default inputs. Change any input above to recalculate.

Inputs

Amplifier GBW
1000000 Hz
DC open-loop gain
100 dB
Additional open-loop pole
10000000 Hz
Open-loop output resistance
50 Ω
Isolation resistor
47 Ω
Load capacitance
1e-9 F
Closed-loop noise gain
1
DC load current
0.001 A
ADC sample capacitor
2e-11 F
Additional source resistance
10 Ω
ADC bits
16 bits
Acquisition time
0.000002 s
Full-scale step
3.3 V
Driver slew rate
1000000 V/s

Results

Conservative combined settling
0.00000601111 s
Conservative residual bound
65536 LSB
Approximate loop phase margin
70.7913 deg
RC half-LSB settling
7.25392e-7 s
Amplifier linear half-LSB settling
0.00000198572 s

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