DISTRIBUTION LAWS OF QUANTIZATION NOISE FOR SIGMA-DELTA MODULATOR

Valeriy I. Didenko, Aleksandr V. Ivanov

Abstract

The very fast development of sigma-delta analog-to-digital converters is evidently. Therefore analytical methods of their description become more and more important. If the found equations are precise enough, they can be used for verification and validation of modelling and simulation. Analytical equations are also important from the viewpoint of education. As is known, the sigma-delta ADC consists of sigma-delta modulator (SDM) and digital filter. In this paper the quantization noise of modulator is investigated for different forms of input signal. The world known (classical) theory of quantization noise is not accurate nough. A new approach was supposed by the authors. The most important point of the approach is to use the discrete two-value distribution law at the modulator output. According to classical theory, for any forms of input signal the quantization noise at the output of the modulator has uniform distribution law. In accordance with new approach, the distribution law of quantization noise depends significantly on the form of input signal. The simulation results are found in agreement with new theory.

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DOI

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IMEKO TC

TC4 - Measurement of Electrical Quantities

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