AN2438 Freescale Semiconductor / Motorola, AN2438 Datasheet

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AN2438

Manufacturer Part Number
AN2438
Description
ADC Definitions and Specifications
Manufacturer
Freescale Semiconductor / Motorola
Datasheet
Application Note
AN2438/D
2/2003
ADC Definitions
and Specifications
By: J. Feddeler and Bill Lucas
Introduction
Terms and Definitions
Measurement Units
8/16 Bit Division Systems Engineering
Austin, Texas
This application note will help users of analog-to-digital converters (ADC)
understand common terminologies used in the electronics industry to define
ADC operation and performance. There are many terms and parameters used
to define the performance of ADC’s. Included in this document are common
definitions, numerical specifications, differences, and issues with the
definitions. By understanding the terminology used to specify various ADC
parameters, a systems designer can better understand how to obtain the
greatest overall system performance, based on the various performance
features of any given ADC system.
The following terms are used in the electronics industry to define ADC
operation.
There are several terms commonly used to measure ADC performance.
Improper or inconsistent use of terms may result in confusion and or
misinterpretation of performance. Common measurement units in use in the
industry are described here (The following examples assume a 10-bit, 5.12-V
ADC with an ideal 2.56-V conversion at $200):
Freescale Semiconductor, Inc.
For More Information On This Product,
Volts (V) — The error voltage is the difference between the input voltage
that converts to a given code and the ideal input voltage for the same
code. When the error is measured in volts, it is related to the actual
voltages and is not normalized to or dependent on the input range or
voltage supply. This measure is useful for fixed error sources such as
offset but does not relate well to the observed error.
Least Significant Bits (LSB) — A least significant bit (LSB) is a unit of
voltage equal to the smallest resolution of the ADC. This unit of measure
Go to: www.freescale.com
© Motorola, Inc., 2003

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AN2438 Summary of contents

Page 1

... Freescale Semiconductor, Inc. Application Note AN2438/D 2/2003 ADC Definitions and Specifications By: J. Feddeler and Bill Lucas 8/16 Bit Division Systems Engineering Austin, Texas Introduction This application note will help users of analog-to-digital converters (ADC) understand common terminologies used in the electronics industry to define ADC operation and performance. There are many terms and parameters used to define the performance of ADC’ ...

Page 2

... Freescale Semiconductor, Inc. AN2438/D • • • • ADC Transfer The ADC converts an input voltage to a corresponding digital code. The curve Curves describing this behavior is the Actual Transfer Function. The Ideal Transfer Function represents this behavior assuming the ADC is perfectly linear, or that a given change in input voltage will create the same change in conversion code regardless of the input’ ...

Page 3

... V V REFH REFL REFH Input Voltage in LSB Figure 1. Quantization Graphs ADC Definitions and Specifications Go to: www.freescale.com AN2438/D Quantization Error (EQ) and Method ) in this case is from 0LSB this case is Q ½ Compensated Ideal TF LSB Quantization Conversion Error $7 (±½ ) ...

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... Freescale Semiconductor, Inc. AN2438/D Adjusted Transfer Function ½LSB Comp. Adjusted TF Conversion $ Zero-Scale Error The Adjusted Transfer Function is then quantized in the same method as the Ideal Transfer Function. The Adjusted Code Width is therefore: ACW = [(V The Adjusted Transfer Function is then: Code = (V Best-Fit Transfer Function ½ ...

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... Adjusted Transfer $1 Function (+) Zero-Scale Error REFH Input Voltage in LSB Figure 2. Endpoints Error Graph ADC Definitions and Specifications Go to: www.freescale.com AN2438/D Zero-Scale Error and Full-Scale Error x)[ICW(i)] Offset and Gain Error (+) Gain Error Conversion $7 Adjusted Straight-Line $6 Trans Func Ideal S.L. Transfer ...

Page 6

... Freescale Semiconductor, Inc. AN2438/D Offset and Gain Error Zero-Scale Errors and Full-Scale Errors can be used to calculate Offset and Gain Errors. These terms are used to define the performance on many industry-standard ADC’s but the definitions used vary and can be misleading or inconsistent. • ...

Page 7

... DNL = -1 Code $ missing $ REFH REFH REFL Input Voltage in LSB ADC Definitions and Specifications Go to: www.freescale.com AN2438/D Differential Non-Linearity (DNL) Non-Monotonicity Conversion $7 $6 DNL = +1 Code $2 is converted after $ ...

Page 8

... Freescale Semiconductor, Inc. AN2438/D Related to DNL are two critical figures of merit used in defining ADC operation. These are: • • Some literature suggests that a DNL of greater than 1.0 LSB may indicate non- monotonicity. Non-monotonicity is usually accompanied by large, positive DNL (>1.0 LSB), although a non-monotonic situation can be coincident with a DNL of less than 1 ...

Page 9

... Code Error is the error between the ideal code and the current code. This is the only figure of merit that measures by the quantized output instead of voltage. The code error is the Total Unadjusted in LSB, rounded to the nearest integer. ADC Definitions and Specifications Go to: www.freescale.com AN2438/D Integral Non-Linearity (INL) Code Error Conversion $7 Code Error ...

Page 10

... Freescale Semiconductor, Inc. AN2438/D Power Supply Noise Error Power Supply Noise Error (ENS) is the difference in conversion caused by power supply noise (on the V Power Supply Noise Errors are caused by: • • • Power Supply Noise Error is ultimately inherent in any ADC design reduced in the design phase by the use of differential, cascaded circuits (increases PSRR), reducing parasitics (increase PSDR), and matching parasitics on the input and reference paths (increases DPSDR) ...

Page 11

... SSAD capacitor near source, low resistive impedance and no choke). This increases the Reference Coupling Ratio, reducing differential noise. ADC Definitions and Specifications Go to: www.freescale.com AN2438/D Input to Reference Differential Noise Error ) relative to the other. Input Noise ) that will be coupled onto the REFH ...

Page 12

... Freescale Semiconductor, Inc. AN2438/D • • • Noise Error Mechanism Regardless of the type of noise (Power Supply Noise or Input to Reference Differential Noise), the error mechanism is the same. While the DC-average of most noise is zero (primarily due to the power supply which sources the reference or input), the short-term average is non-zero as shown in The amount of error depends on the magnitude and decay rate of the noise relative to the width of the sample or compare window ...

Page 13

... If the waveform is predictable, the maximum noise error (therefore, the number of cycles required to average it out) can be reduced. This type ADC Definitions and Specifications Go to: www.freescale.com AN2438/D Synchronous Noise Offset Error Figure 5, occurs Figure 5) of this ...

Page 14

... Freescale Semiconductor, Inc. AN2438/D • • Input Leakage Offset Error (E There is an additional source of input error that is often overlooked but can be extremely significant. Leakage on the Analog input pin or on the PC board can cause a voltage drop across the resistive portion of the Analog Input Source. ...

Page 15

... ADC’s comparator input. Few 10b ADC architectures are compatible with this method (full-RDAC SAR architectures can use this type of acquisition but are usually limited to about 7b of accuracy). ADC Definitions and Specifications Go to: www.freescale.com AN2438/D Acquisition Error (EAQ) ) can IN 15 ...

Page 16

... Freescale Semiconductor, Inc. AN2438/D Acquisition Time (Sample and Hold) and Error Calculations A number of steps are required during an analog-to-digital conversion. When an analog-to-digital conversion begins, one channel select switch is closed, allowing the sample and hold capacitor (C switch is then opened. The charge applied to the sample and hold capacitor is then converted into a digital representation by the successive approximation register ...

Page 17

... AIN (>10 kΩ) are possible if a large provided between samples. In order to AS ADC Definitions and Specifications Go to: www.freescale.com AN2438/D ) — This is the frequency ATDCLK ) — This is the frequency that a given ) — This is the difference SAMP ) — This is the difference between AIN ...

Page 18

... Freescale Semiconductor, Inc. AN2438/D ∆V SAMP 10 kΩ. The maximum value of 10 kΩ for R the worst case condition of maximum ∆V Summary of Specification Parameters The following terms and simplified definitions will be used to describe Motorola’s future ADC’s: • • • • ...

Page 19

... Differential Non-Linearity (DNL) — The difference between the Current Code Width and the Ideal Code Width. Endpoint INL — Integral Non-Linearity. ADC Definitions and Specifications Go to: www.freescale.com AN2438/D Common ADC Terminology ) — The real portion of the Analog AIN and the IN ...

Page 20

... Freescale Semiconductor, Inc. AN2438/D • • • • • • • • • • • • • • • • • • 20 For More Information On This Product, Full-Scale Conversion — The maximum code output by the ADC, typically $3FF for a 10b ADC. ...

Page 21

... V . REFL ½LSB Compensated Quantization — Technique in which the ideal transfer function’s first transition voltage is shifted to cause the first transition voltage at ½LSB instead of 1LSB. ADC Definitions and Specifications Go to: www.freescale.com AN2438/D Conclusion . SSAD while maintaining a minimum DDAD . REFL ...

Page 22

... Motorola and the Stylized M Logo are registered in the U.S. Patent and Trademark Office. digital dna is a trademark of Motorola, Inc. All other product or service names are the property of their respective owners. Motorola, Inc Equal Opportunity/Affirmative Action Employer. © Motorola, Inc. 2002 AN2438/D Rev. 0 2/2003 Go to: www.freescale.com ...

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