An overview of sigma-delta converters

Aziz, P.M.; Sorensen, H.V.; Spiegel, J. vn der

doi:10.1109/79.482138

Cited by 544 publications

(235 citation statements)

References 54 publications

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“…experimental data, illustrates how the second integrator works. Note that the behaviours at the output of the first (a) and at the output of the second (b) integrators are similar to those typical in 2 nd order modulators [9]. …”

Section: Second Order Control Of Dielectric Chargementioning

confidence: 49%

A Second-Order Delta-Sigma Control of Dielectric Charge for Contactless Capacitive MEMS

Gorreta

Pons-Nin

Blokhina

et al. 2015

J. Microelectromech. Syst.

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Abstract-This letter introduces a new second-order deltasigma method for control of the dielectric charge in contactless capacitive MEMS. This method improves one previously proposed by the authors, providing second-order quantization noise shaping and allowing to avoid the plateaus typical of first-order strategies. The feasibility and the features of the new method are demonstrated both experimentally and through simulations.

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Section: Second Order Control Of Dielectric Chargementioning

confidence: 49%

A Second-Order Delta-Sigma Control of Dielectric Charge for Contactless Capacitive MEMS

Gorreta

Pons-Nin

Blokhina

et al. 2015

J. Microelectromech. Syst.

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“…When a quantized signal is sampled, the entire quantization noise spectrum is folded back into the baseband (aliasing), and it is reasonable to take the total quantization noise power as a measure of the noise to be expected in the baseband [13,18]. For sinusoidal inputs, an expression for the maximum theoretical signal to quantization noise ratio at the Nyquist rate can be derived following certain assumptions about the noise and the input signal [19,20]:…”

Section: Noise Considerationsmentioning

confidence: 99%

Potential use of the undersampling technique in the acquisition of nuclear magnetic resonance signals

Pérez

2001

Magnetic Resonance Materials in Biology, Physics, and Medicine

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This communication reviews the use of undersampling techniques to acquire NMR signals. Undersampling transforms bandpass free induction decay (FID) signals, centered at high frequencies, into lowpass signals or bandpass signals centered at much lower frequencies. Consequently, the analog electronic stages that perform the demodulation can be eliminated, gaining in stability and reducing the phase distortion while maintaining an equivalent or better signal to noise ratio when an adequate sampling rate is chosen. The technique has been tested on a BRUKER BIOSPEC BMT 47/40, and the results show that undersampling could be used to process NMR and MRI signals, extending the range of applications of the 'digital radio' techniques to NMR and MRI apparatus.

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“…(Chao, et al, 1990;Troster, et al, 1993;Moussavi, 1994;Aziz and Sorensen, 1996;Brooks, et al, 1997). Three of common structures are collected here:…”

Section: Implementation Structurementioning

confidence: 99%

1-Bit processing based model predictive control for fractionated satellite missions

Bai

2014

Acta Astronautica

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In this thesis, a 1-bit processing based Model Predictive Control (OBMPC) structure is proposed for a fractionated satellite attitude control mission. Despite the appealing advantages of the MPC algorithm towards constrained MIMO control applications, implementing the MPC algorithm onboard a small satellite is certainly challenging due to the limited onboard resources. The proposed design is based on the 1-bit processing concept, which takes advantage of the affine relation between the 1-bit state feedback and multi-bit parameters to implement a multiplier free MPC controller.As multipliers are the major power consumer in online optimization, the OBMPC structure is proven to be more efficient in comparison to the conventional MPC implementation in term of power and circuit complexity. The system is in digital control nature, affected by quantization noise introduced by Δ∑ modulators. The stability issues and practical design criteria are also discussed in this work.Some other aspects are considered in this work to complete the control system. Firstly, the implementation of the OBMPC system relies on the 1-bit state feedbacks. Hence, 1-bit sensing components are needed to implement the OBMPC system. While the ∆∑ modulator based Microelectromechanical systems (MEMS) gyroscope is considered in this work, it is possible to implement this concept into other sensing components.Secondly, as the proposed attitude mission is based on the wireless inter-satellite link (ISL), a state estimator is required. However, conventional state estimators will once again introduce multi-bit signals, and compromise the simple, direct implementation of the OBMPC controller. Therefore, the 1-bit state estimator is also designed in this work to satisfy the requirements of the proposed fractionated attitude control mission.The simulation for the OBMPC is based on a 2U CubeSat model in a fractionated satellite structure, in which the payload and actuators are separated from the controller and controlled via the ISL. Matlab simulations and FPGA implementation based performance analysis shows that the OBMPC is feasible for fractionated satellite missions and is advantageous over the conventional MPC controllers. V VI

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An overview of sigma-delta converters

Cited by 544 publications

References 54 publications

A Second-Order Delta-Sigma Control of Dielectric Charge for Contactless Capacitive MEMS

A Second-Order Delta-Sigma Control of Dielectric Charge for Contactless Capacitive MEMS

Potential use of the undersampling technique in the acquisition of nuclear magnetic resonance signals

1-Bit processing based model predictive control for fractionated satellite missions

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