Differential nonlinearity (acronym DNL) is a commonly used measure of performance in digital-to-analog (DAC) and analog-to-digital (ADC) converters. It is a term describing the deviation between two analog values corresponding to adjacent input digital values. It is an important specification for measuring error in a digital-to-analog converter (DAC); the accuracy of a DAC is mainly determined by this specification. Ideally, any two adjacent digital codes correspond to output analog voltages that are exactly one Least Significant Bit (LSB) apart. Differential non-linearity is a measure of the worst-case deviation from the ideal 1 LSB step. For example, a DAC with a 1.5 LSB output change for a 1 LSB digital code change exhibits 1⁄2 LSB differential non-linearity. Differential non-linearity may be expressed in fractional bits or as a percentage of full scale. A differential non-linearity greater than 1 LSB may lead to a non-monotonic transfer function in a DAC.[1] It is also known as a missing code.
Demonstrates A. Differential Linearity where a change in the input produces a corresponding change in output and B. Differential Non-linearity, where the relationship is not directly linear
Differential linearity refers to a constant relation between the change in the output and input. For transducers if a change in the input produces a uniform step change in the output the transducer possess differential linearity. Differential linearity is desirable and is inherent to a system such as a single-slope analog-to-digital converter used in nuclear instrumentation.
If the DNL of an ADC is smaller than -1, missing codes appear in the transfer function, i.e. there are codes for which there is no input voltage to get the at the ADC output.
If the DNL of a DAC is bigger than 1, the transfer function of the DAC becomes non-monotonic. A non-monotonic DAC is especially not desired in closed-loop control application as it may cause stability problems, i.e. it may cause oscillations.
differential, nonlinearity, this, article, needs, additional, citations, verification, please, help, improve, this, article, adding, citations, reliable, sources, unsourced, material, challenged, removed, find, sources, news, newspapers, books, scholar, jstor,. This article needs additional citations for verification Please help improve this article by adding citations to reliable sources Unsourced material may be challenged and removed Find sources Differential nonlinearity news newspapers books scholar JSTOR December 2008 Learn how and when to remove this template message Differential nonlinearity acronym DNL is a commonly used measure of performance in digital to analog DAC and analog to digital ADC converters It is a term describing the deviation between two analog values corresponding to adjacent input digital values It is an important specification for measuring error in a digital to analog converter DAC the accuracy of a DAC is mainly determined by this specification Ideally any two adjacent digital codes correspond to output analog voltages that are exactly one Least Significant Bit LSB apart Differential non linearity is a measure of the worst case deviation from the ideal 1 LSB step For example a DAC with a 1 5 LSB output change for a 1 LSB digital code change exhibits 1 2 LSB differential non linearity Differential non linearity may be expressed in fractional bits or as a percentage of full scale A differential non linearity greater than 1 LSB may lead to a non monotonic transfer function in a DAC 1 It is also known as a missing code Demonstrates A Differential Linearity where a change in the input produces a corresponding change in output and B Differential Non linearity where the relationship is not directly linear Differential linearity refers to a constant relation between the change in the output and input For transducers if a change in the input produces a uniform step change in the output the transducer possess differential linearity Differential linearity is desirable and is inherent to a system such as a single slope analog to digital converter used in nuclear instrumentation Contents 1 Formula 2 Effects of DNL 3 See also 4 References 5 External linksFormula EditDNL i V out i 1 V out i ideal LSB step width 1 displaystyle text DNL i V text out i 1 V text out i over text ideal LSB step width 1 Effects of DNL EditIf the DNL of an ADC is smaller than 1 missing codes appear in the transfer function i e there are codes for which there is no input voltage to get the at the ADC output If the DNL of a DAC is bigger than 1 the transfer function of the DAC becomes non monotonic A non monotonic DAC is especially not desired in closed loop control application as it may cause stability problems i e it may cause oscillations See also EditIntegral nonlinearityReferences Edit INL and DNL definitions A DNL error specification of less than or equal to 1LSB guarantees a monotonic transfer function with no missing codes http www maxim ic com app notes index mvp id 283External links EditINL DNL Measurements for High Speed Analog to Digital Converters ADCs Application Note 283 by Maxim Understanding Data Converters This electronics related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Differential nonlinearity amp oldid 982873150, wikipedia, wiki, book, books, library,
