# Sensors III

## Calibration Techniques for Analog Sensors and Mixed Signal Systems

This class will teach and illustrate calibration techniques to minimize inherent hardware gain and offset errors in various real-world analog systems. Learn how to design polynomial, look-up table models and feedback circuits to increase accuracy and precision of hardware circuits. The class will cover calibration techniques for variable DC outputs, SAR ADC inputs, discrete R2R ladder based DACs, accelerometers and gyros. Note this class will be taught by a representative from Real Digital.

### Curriculum94 min

• Syllabus
• Linear Circuits of an Ideal Opamp
• Agenda 1 min
• Ideal Opamp Model 1 min
• Voltage Follower 1 min
• Non Inverting Opamp 1 min
• Inverting Opamp 1 min
• Inverting and Non Inverting 2 min
• Summing of Multiple Inverting Inputs 2 min
• Multiple Inverting with a Non Inverting Input 2 min
• Multiple Inverting and Non Inverting Inputs 1 min
• Generic Linear Polynomial 3 min
• Sources of Gain and Offset Errors for Linear Opamps
• Agenda 1 min
• Resistor Tolerances 1 min
• Bias Currents 5 min
• Math behind the Bias Currents 1 min
• Offset Voltage 3 min
• Conclusion 1 min
• Input Capacitance
• Overview 1 min
• CMOS/FET Opamps 1 min
• Effects of Input Capacitance on the Ideal Opamp 2 min
• Effects on a Real World Opamp
• Varying Input Parameters 2 min
• Techniques to Compensate 3 min
• Calibration
• Calibration Considerations 1 min
• Generic Polynomial 1 min
• Physical Calibration 4 min
• Software Calibration 1 min
• Resistor Tolerances 4 min
• Agenda 1 min
• Headroom Losses due to Input Bias Currents 4 min
• Headroom Losses due to Input Offset Voltage 2 min
• Deriving a Formula to Estimate Headroom Losses 7 min
• Overview 1 min
• Driving the ADC Input 6 min
• Biasing a +/- Input 4 min
• Limits Characterization
• Overview 1 min
• Opamp and ADC on Single Positive Supply 6 min
• Verification 2 min
• Circuit Characterization
• Overview 1 min
• Circuit within Tolerances 2 min
• Transfer Function Math 1 min
• Determine Transfer Function without Noise 1 min
• Determine Transfer Function including Noise 8 min

This class will teach and illustrate calibration techniques to minimize inherent hardware gain and offset errors in various real-world analog systems. Learn how to design polynomial, look-up table models and feedback circuits to increase accuracy and precision of hardware circuits. The class will cover calibration techniques for variable DC outputs, SAR ADC inputs, discrete R2R ladder based DACs, accelerometers and gyros. Note this class will be taught by a representative from Real Digital.

• Syllabus
• Linear Circuits of an Ideal Opamp
• Agenda 1 min
• Ideal Opamp Model 1 min
• Voltage Follower 1 min
• Non Inverting Opamp 1 min
• Inverting Opamp 1 min
• Inverting and Non Inverting 2 min
• Summing of Multiple Inverting Inputs 2 min
• Multiple Inverting with a Non Inverting Input 2 min
• Multiple Inverting and Non Inverting Inputs 1 min
• Generic Linear Polynomial 3 min
• Sources of Gain and Offset Errors for Linear Opamps
• Agenda 1 min
• Resistor Tolerances 1 min
• Bias Currents 5 min
• Math behind the Bias Currents 1 min
• Offset Voltage 3 min
• Conclusion 1 min
• Input Capacitance
• Overview 1 min
• CMOS/FET Opamps 1 min
• Effects of Input Capacitance on the Ideal Opamp 2 min
• Effects on a Real World Opamp
• Varying Input Parameters 2 min
• Techniques to Compensate 3 min
• Calibration
• Calibration Considerations 1 min
• Generic Polynomial 1 min
• Physical Calibration 4 min
• Software Calibration 1 min
• Resistor Tolerances 4 min
• Agenda 1 min
• Headroom Losses due to Input Bias Currents 4 min
• Headroom Losses due to Input Offset Voltage 2 min
• Deriving a Formula to Estimate Headroom Losses 7 min