NEW APPROACH TO THEORY OF SIGMA-DELTA ANALOG-TO-DIGITAL CONVERTERS

Valeriy I. Didenko, Aleksander V. Ivanov, Aleksey V. Teplovodskiy

Abstract

The main point of new approach to the theory of sigma-delta modulation is application of a discrete two-values distribution law for a quantization noise instead of a uniform distribution law accepted before. Due to the new approach, the variance (standard deviation in the square) of the quantization noise becomes dependent on input signal by parabolic function. The noise vs. frequency is found for different input signals taking into account all frequency range from zero to half of sampling frequency. Using dependence of standard deviation on input signal and frequency, different characteristics of sigma-delta modulation can be predicted, including SNR. Difference between analytical and simulation results for new theory can be driven to any small value.

Keywords

Sigma-delta modulation, quantization noise, nonuniform distribution, noise variance, signal-to-noise ration

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IMEKO-IWADC-2007-F019.pdf

DOI

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IMEKO TC

TC4 - Measurement of Electrical Quantities

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