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Differential non-linearity - definition

Differential nonlinearity is a parameter characterising the deviation of the actual output signal increment from the ideal one for a device that processes signals in a discrete manner, most commonly in analogue-to-digital converters (ADCs) or digital-to-analogue converters (DACs). It describes the variation of differences between successive levels of quantisation relative to perfectly equal incremental steps. In the context of digital systems, differential non-linearity refers to the difference between the actual quantisation step width and the nominal value, usually expressed in fractions of a unit of the least significant bit (LSB - Least Significant Bit).

This parameter plays a key role in assessing the quality and precision of data conversion, especially in applications requiring high linearity and signal repeatability. An ideal converter would be characterised by a constant voltage difference between successive encoding levels. In real systems, these variations are the result of imperfections in the manufacturing process, temperature influences, interference and errors in the reference circuits. If these differences exceed 1 LSB, they can lead to a loss of monotonicity, i.e. a situation where an increase in the input signal does not cause an increase in the output signal.

Differential non-linearity is analysed independently of static errors such as zero shift or total non-linearity. A high value of this parameter can lead to signal distortion, particularly evident in frequency analysis and measurement applications where the accuracy of the representation of signal dynamics is important. Modern systems use methods to compensate for differential errors through digital calibration or the use of advanced transducer architectures.

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