SAR ADC Gain Correction Using Prior Digital Codes

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Solution Overview

Problem

Successive-approximation register analog-to-digital converters face performance degradation due to gain errors in differential amplifiers, leading to asymmetrical and non-ideal performance curves, which affect the accuracy of digital code generation and residue values.

Innovation Solution

A system that includes a digital-to-analog converter, a differential amplifier with variable gain correction based on previously determined digital codes, and a multi-bit successive-approximation register to iteratively refine gain errors using a gain-error estimation circuit, ensuring accurate digital output signals by adjusting gains in real-time.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If gain correction is applied using previously determined digital codes, then measurement precision is improved, but device complexity increases due to additional correction circuitry and processing steps

Engineering Contradiction:
Improveaccuracy of digital code generationVSAvoidcomplexity of gain correction system
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent implements feedback by using previously determined digital codes to calculate and apply gain corrections to the differential amplifier. The system feeds back the digital code information through a gain-error estimation circuit that computes correction values based on the relationship between expected and actual digital outputs, then applies these corrections to improve subsequent conversion accuracy.

Inventive Principle:
Principle #23Feedback

Solution Approach 2:

The system performs self-correction by using its own output digital codes to generate gain correction values. The gain-error estimation circuit utilizes the digital codes already produced by the SAR ADC to calculate correction factors, allowing the system to self-adjust and compensate for gain errors without requiring external calibration equipment or additional sensing mechanisms.

Inventive Principle:
Principle #25Self-service

2Measurement precision

If real-time gain correction is performed, then measurement precision is improved, but processing time increases due to additional correction calculations

Engineering Contradiction:
Improveaccuracy of residue valuesVSAvoidtime for gain correction processing
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent applies preliminary action by pre-calculating and storing gain correction values during idle periods or between conversion cycles. The gain-error estimation circuit computes correction factors based on previously obtained digital codes and stores them for immediate application, so that when a new conversion is needed, the correction is already prepared and can be applied without adding significant processing delay to the critical conversion path.

Inventive Principle:
Principle #10Preliminary action

3Manufacturing precision

If multiple capacitor arrays are used in the digital-to-analog converter, then manufacturing precision is improved, but device complexity and power consumption increase

Engineering Contradiction:
Improveaccuracy of capacitor ratiosVSAvoidcomplexity of capacitor array structure
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The patent applies local quality by using capacitor arrays with different precision levels in different regions of the converter. Critical capacitors that have the greatest impact on conversion accuracy are manufactured with higher precision and tighter tolerance control, while less critical capacitors use standard fabrication processes. This selective approach to capacitor quality optimization reduces overall device complexity and power consumption while maintaining the necessary precision for accurate conversion.

Inventive Principle:
Principle #3Local quality

Data Source

PatentUS11239851B2Gain correction for multi-bit successive-approximation register
Publication Date: 2022.02.01 TEXAS INSTRUMENTS INC
  • US11239851B2 patent drawing
  • US11239851B2 patent drawing

AI summary

A system has a digital-to-analog converter; a reference signal coupled to the digital-to-analog converter; a differential amplifier for applying gain, and for generating output signals as a function of sampled input signals, the reference signal, digital codes, and the gain applied by the differential amplifier coupled to the digital-to-analog converter; and a multi-bit successive-approximation register for determining the digital codes in successive stages coupled to the differential amplifier; and the gain applied by the differential amplifier is corrected based on previously determined digital codes.