Efficient analysis of the stability of sigma-delta modulators using wavelets

Vogels, M.; Gielen, Georges

doi:10.1109/iscas.2000.856171

Cited by 4 publications

(2 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then, if one assumes that the "+1" digits are interleaved among the "−1" digits as regularly as possible, the average length of these smaller cycles is 2s s−r . Using this result, one can conclude that the spectrum of y(n) will contain a strong tone of frequency [12] …”

Section: The Case Of Conventional First-order -A/d Convertersmentioning

confidence: 95%

“…This leads to Procedure 1 as follows for the estimation of the quantizer output signal y(n). Having determined the quantizer output signal y(n), the corresponding quantizer input signal q(n) can be estimated in accordance with equation (13) in terms of its components q 1 (n) and q 2 (n) by invoking the inverse z-transforms of the transfer functions T 1 (z) and T 2 (z) of equations (47), (48) in equations (11), (12) to get…”

Section: The Case Of Conventional First-order -A/d Convertersmentioning

confidence: 99%

See 1 more Smart Citation

A Novel Statistical Technique for the Estimation of DC Stability in Higher-Order Σ-Δ A/D Converters

Fraser

Nowrouzian

2004

Circuits Syst Signal Process

View full text Add to dashboard Cite

The existing techniques available for the statistical estimation of the dc input signal stability in general-order -analog-to-digital (A/D) converters are based on the assumption that the constituent quantizer input signal has a Gaussian distribution. However, empirical investigations reveal that this assumption holds adequately true only for the special case of conventional first-order -A/D converters. This paper presents an alternative technique for the accurate estimation of the dc input signal stability for higher-order -A/D converters. This estimation technique is based on the practical assumption that the constituent quantizer operates in its overload-free region, permitting the characterization of the quantizer output signal digit-pattern for the determination of the statistical moments of the corresponding quantizer input signal. The resulting statistical moments are subsequently incorporated in a Gram-Charlier series for an accurate quasilinear modeling of the quantizer. A typical application example is given to demonstrate the accuracy of the proposed statistical technique for predicting the existence of multiple regions of instability and stability in the -A/D converter operation, and particularly for predicting the point where the A/D converter operation becomes unstable.

show abstract

Section: The Case Of Conventional First-order -A/d Convertersmentioning

confidence: 95%

Section: The Case Of Conventional First-order -A/d Convertersmentioning

confidence: 99%