Analysis framework for the digital inversion of nonlinear deterministic characteristics in ΣΔ modulation

Thao, Nguyen T.

doi:10.1109/iscas.1997.608753

Cited by 4 publications

(5 citation statements)

References 9 publications

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“…The inverse mapping H −1 of H can be directly derived from (10) and has the following mapping deÿnition:…”

Section: Application To Modulationmentioning

confidence: 99%

“…8 (b) While the linear signal reconstruction systematically provides a band-limited estimate, this signal does not necessarily belong to the input set. 10 This constitutes the contribution of deterministic analysis to linear reconstruction. While this brings nothing more than some new understanding of the encoded information in ideal modulation, it actually has a contribution in the presence of non-linear imperfections.…”

Section: Introductionmentioning

confidence: 99%

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Deterministic analysis of sigma–delta modulation for linear and non‐linear signal reconstruction

Thảo¹

1997

Int. J. Circ. Theor. Appl.

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Deterministic analysis is becoming increasingly popular to study the theoretical mechanisms of modulation, as opposed to the classical noise-shaping approach. This paper gives an overview of its application to the speciÿc problem of signal reconstruction. Once an input signal has been processed through a modulator of given speciÿcations, the fundamental question is to know what deterministic information can be retrieved about this signal from the output.

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“…The inverse mapping H −1 of H can be directly derived from (10) and has the following mapping deÿnition:…”

Section: Application To Modulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Deterministic analysis of sigma–delta modulation for linear and non‐linear signal reconstruction

Thảo¹

1997

Int. J. Circ. Theor. Appl.

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“…We show in Figure 15 the computed MSE expectations over a large number of input signals uniformly distributed in a subset of the no-overload region of S . The tested space dimensions are W = 1; 2; 8 and 32: The oversampling ratio R = N=W is varied between 2 4 to 2 10 . Regardless of the dimension W , the consistent reconstruction yields a lower MSE than the linear reconstruction for R¿2 4 .…”

Section: Numerical Analysismentioning

confidence: 99%

“…In the case of static deviations in the built-in quantizer and D=A converter it is found that this modiÿed reconstruction scheme is capable of preserving the theoretical performance of ideal modulation even in the presence of strong deviations. 10 This constitutes the contribution of deterministic analysis to linear reconstruction.…”

Section: Introductionmentioning

confidence: 99%

Deterministic analysis of sigma–delta modulation for linear and non-linear signal reconstruction

Thao

1997

Int. J. Circ. Theor. Appl.

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Deterministic analysis is becoming increasingly popular to study the theoretical mechanisms of ΣΔ modulation, as opposed to the classical noise‐shaping approach. This paper gives an overview of its application to the specific problem of signal reconstruction. Once an input signal has been processed through a ΣΔ modulator of given specifications, the fundamental question is to know what deterministic information can be retrieved about this signal from the ΣΔ output. The paper summarizes all results obtained in this research under a unified presentation framework. © 1997 by John Wiley & Sons, Ltd.

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“…2). The fundamental signal path is a classic topology based on a loop with a forward A/D conversion and a feedback D/A conversion of the signal, as in the sigma-delta A/D conversion architecture or, e.g., in [3], [4], and [5]. The idea consists in tracking in advance the analog signal course in order not to exceed the input dynamic range of the ADC through a proper digital filter and a feedback loop (so reducing at most saturation risk and consequently allowing also a higher input signal rate) and in maintaining at the same time a strictly controlled spectral band of the signal to be sampled (so making negligible any alias effect).…”

Section: Introductionmentioning

confidence: 99%

New signal conditioning architecture for optimal a/D conversion in digital spectroscopy setups

Geraci

Abbiati

Gatti

et al. 2006

IEEE Trans. Nucl. Sci.

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By exploiting some interesting properties of feedback loops including an analog-to-digital converter (ADC) and a digital-to-analog converter (DAC), it is possible to perform filtering action on both signal and noise in a mixed digital-analog realm, similar to the well-known sigma-delta ADC. In particular, we present a signal conditioning architecture based on this loop, which optimizes the analog-to-digital conversion operation in a high-resolution digital spectrometer. Elimination of pile-up at the ADC input, which minimizes the probability of its saturation as well as minimization of alias effects are achieved with no significant hardware burden and no measurement resolution loss. The filtering action inherent in the loop is used to obtain pole-zero cancellation, to improve the input signal rate, to reduce the effects of quantization noise by pushing it out-of-band, and to enhance the linearity of the converter. The technique has been implemented and validated.Index Terms-Analog-digital conversion, digital-analog conversion, digital circuits, digital spectroscopy, feedback circuits, infinite-impulse response (IIR) digital filters.

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Analysis framework for the digital inversion of nonlinear deterministic characteristics in ΣΔ modulation

Cited by 4 publications

References 9 publications

Deterministic analysis of sigma–delta modulation for linear and non‐linear signal reconstruction

Deterministic analysis of sigma–delta modulation for linear and non‐linear signal reconstruction

Deterministic analysis of sigma–delta modulation for linear and non-linear signal reconstruction

New signal conditioning architecture for optimal a/D conversion in digital spectroscopy setups

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