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2 Sidor T.

2 2014

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Analiza własności metrologicznych przetworników A/D zbudowanych na bazie modulatorów sigma-delta różnych rzędów

Sidor T.

Pomiary Automatyka Kontrola

2014

R. 60, nr 2

94--97

W artykule porównano własności metrologiczne przetworników A/D z modulatorami sigma-delta pierwszego i drugiego rzędu stosując analizę w dziedzinie czasu. Wykazano, że przetworniki z modulatorami wyższych rzędów, wykazują w istocie ten sam poziom błędów kwantowania, co przetworniki z modulatorem pierwszego rzędu. Zwrócono również uwagę na istotne niekonsekwencje, pojawiające się w licznych opracowaniach na ten temat, które posługują się analizą w dziedzinie częstotliwości.

In this paper the time domain analysis is used to compare metrological properties of sigma-delta A/D converters with first order modulator and converters with modulators of higher order. Modulators of higher orders are widely advertised for such converters to be used in digital acoustic systems. The paper proves that from the viewpoint of the important metrological property of such converters i.e. the level of quantization error there is no superiority in performance of A/D converters with higher order modulators over converters with modulator of first order. It was confirmed by a simulation experiment, performed using the MICROCAP circuit simulator (Figs. 7 and 8), where the quantization error levels were compared for modulators of first and second order. Moreover, there is pointed out a certain inconsistency present in numerous papers [2, 4, 5] in which the frequency domain analysis is used to explain noise shaping phenomenon. There is no direct digital filtration possible straight at the sigma-delta modulator output and decimation afterwards. In fact both actions are performed by a single counter, which can be described as both, basically decimator and digital filter (Fig.6).

Metrological properties of A/D converters utilizing higher order sigma-delta modulators compared with A/D converters with modulators of first order

Sidor T.

Metrology and Measurement Systems

2014

Vol. 21, nr 1

37--46

Time domain analysis is used to determine whether A/D converters that employ higher order sigma-delta modulators, widely used in digital acoustic systems, have superior performance over classical synchronous A/D converters with modulators of first order when taking into account their important metrological property which is the magnitude of the quantization error. It is shown that the quantization errors of delta-sigma A/D converters with higher order modulators are exactly on the same level as for converters with a first order modulator.