A 0.029-mm2 17-fJ/Conversion-Step Third-Order CT $\Delta\Sigma$ ADC With a Single OTA and Second-Order Noise-Shaping SAR Quantizer

2019 ◽  
Vol 54 (2) ◽  
pp. 428-440 ◽  
Author(s):  
Jiaxin Liu ◽  
Shaolan Li ◽  
Wenjuan Guo ◽  
Guangjun Wen ◽  
Nan Sun
Keyword(s):  
Second Order ◽  
Noise Shaping ◽  
Third Order ◽  
Delta Sigma

scholarly journals A Low-Power Opamp-Less Second-Order Delta-Sigma Modulator for Bioelectrical Signals in 0.18 µm CMOS

Sensors ◽  
2021 ◽  
Vol 21 (19) ◽  
pp. 6456
Author(s):  
Fernando Cardes ◽  
Nikhita Baladari ◽  
Jihyun Lee ◽  
Andreas Hierlemann
Keyword(s):  
Low Power ◽  
Low Frequency ◽  
Cmos Technology ◽  
Low Noise ◽  
Second Order ◽  
Frequency Noise ◽  
Voltage Controlled Oscillator ◽  
Noise Shaping ◽  
Delta Sigma Modulator ◽  
Delta Sigma

This article reports on a compact and low-power CMOS readout circuit for bioelectrical signals based on a second-order delta-sigma modulator. The converter uses a voltage-controlled, oscillator-based quantizer, achieving second-order noise shaping with a single opamp-less integrator and minimal analog circuitry. A prototype has been implemented using 0.18 μm CMOS technology and includes two different variants of the same modulator topology. The main modulator has been optimized for low-noise, neural-action-potential detection in the 300 Hz–6 kHz band, with an input-referred noise of 5.0 μVrms, and occupies an area of 0.0045 mm2. An alternative configuration features a larger input stage to reduce low-frequency noise, achieving 8.7 μVrms in the 1 Hz–10 kHz band, and occupies an area of 0.006 mm2. The modulator is powered at 1.8 V with an estimated power consumption of 3.5 μW.

scholarly journals 1-1-1 MASH $\Delta \Sigma$ Time-to-Digital Converters With 6 ps Resolution and Third-Order Noise-Shaping

2012 ◽  
Vol 47 (9) ◽  
pp. 2093-2106 ◽  
Author(s):  
Ying Cao ◽  
Wouter De Cock ◽  
Michiel Steyaert ◽  
Paul Leroux
Keyword(s):  
Noise Shaping ◽  
Third Order ◽  
Delta Sigma

scholarly journals Second order noise shaping for data-weighted averaging technique to improve sigma-delta DAC performance

2021 ◽  
Vol 10 (1) ◽  
pp. 79
Author(s):  
Ali Kerem Nahar ◽  
Ansam Subhi Jaddar ◽  
Hussain K. Khleaf ◽  
Mohmmed Jawad Mortada Mobarek
Keyword(s):  
Power Dissipation ◽  
Second Order ◽  
Weighted Averaging ◽  
Noise Shaping ◽  
Sigma Delta ◽  
Averaging Technique ◽  
Delta Sigma ◽  
Low Levels ◽  
Digital To Analog ◽  
Data Weighted Averaging

<p>In general, the noise shaping responses, a cyclic second order response is delivered by the method of data weighted averaging (DWA) in which the output of the digital-to-analog convertor (DAC) is restricted to one of two states. DWA works efficiently for rather low levels of quantizing; it begins presenting considerable difficulties when internal levels of quantizing are extended further. Though, each added bit of internal quantizing causes an exponentially increasing in power dissipation, complexity and size of the DWA logic and the DAC. This gives a controlled seconnd order response accounting for the mismatch of the elements of DAC. The multi-bit DAC is made up of numerous single-bit DACs having values thereof chosen via a digital encoder. This research presents a discussion of the influence of mismatching between unit elements of the Delta-Sigma DAC. This results in a constrained second order response accounting for mismatch of DAC elements. The results of the simulation showed how the effectiveness of DWA method is in reducing band tones. Furthermore, DWA method has proved its efficiency in solving the mismatching of DAC unit elements. The noise of the mismatching elements is enhanced 11 dB at 0.01 with the proposed DWA, thereby enhancing the efficiency of the DAC in comparison to the efficiency of the DAC with no use of the circuit of DWA</p>

scholarly journals Delta-sigma ADC modulator for multibit data converters using passive adder entrenched second order noise shaping

2021 ◽  
Vol 10 (4) ◽  
pp. 1952-1959
Author(s):  
Ali Kareem Nahar ◽  
Hussain K. Khleaf
Keyword(s):  
Harmonic Distortion ◽  
Data Converters ◽  
Second Order ◽  
Quantization Noise ◽  
Weighted Averaging ◽  
Noise Shaping ◽  
Pass Filter ◽  
Low Pass Filter ◽  
Fully Differential ◽  
Delta Sigma

This paper introduces a multi-bit data converters (MDC) modulator of the 2nd order delta-sigma analog-to-digital converter use the passive adder proposed. The noise shaping quantizer can provide feedback that has generated quantization noise and perform additional shaping noise first-order by coupling noise method.Thus, two Integrator's with ring amplifier and the MDC is shaped by noise coupling quantizer know the 2nd-order noise coupled with somewhat of a DAC modulator. At a summing point, the inputs are summed and then filtered with a low pass filter. A cyclic second order response is generated with a data weighted averaging (DWA) technique in which the DACs ' outputs are limited to one of two states in the noise shaping responses. Mainly as a result of the harmonic distortion in circuits of amplifier. Transistor rate is equipped for the fully differential switched condenser integrator used, a comparator and DWA. The modulator with proposed DWA design, almost quarterly improved timing margin. A simulated SNDR of 92dB is obtained at 20 MHz sampling frequency; while a sinusoidal output of 4.112 dBFS is tested at 90µs besides 20 MHz as the bandwidth. The power consumption is 0.33 mW while the voltage of the supply is 1.2V.

Bulk Contributions Modulate the Sum-Frequency Generation Spectra of Interfacial Water on Model Sea-Spray Aerosols

2018 ◽  
Author(s):  
Sandeep K. Reddy ◽  
Raphael Thiraux ◽  
Bethany A. Wellen Rudd ◽  
Lu Lin ◽  
Tehseen Adel ◽  
...  
Keyword(s):  
Single Layer ◽  
Sum Frequency Generation ◽  
Second Order ◽  
Interfacial Structure ◽  
Sea Spray ◽  
Third Order ◽  
Systematic Analysis ◽  
Sum Frequency ◽  
Structure Of Water ◽  
Frequency Generation

Vibrational sum-frequency generation (vSFG) spectroscopy is used to determine the molecular structure of water at the interface of palmitic acid monolayers. Both measured and calculated spectra display speci c features due to third-order contributions to the vSFG response which are associated with nite interfacial electric potentials. We demonstrate that theoretical modeling enables to separate the third-order contributions, thus allowing for a systematic analysis of the strictly surface-sensitive, second-order component of the vSFG response. This study provides fundamental, molecular-level insights into the interfacial structure of water in a neutral surfactant system with relevance to single layer bio-membranes and environmentally relevant sea-spray aerosols. These results emphasize the key role that computer simulations can play in interpreting vSFG spectra and revealing microscopic details of water at complex interfaces, which can be difficult to extract from experiments due to the mixing of second-order, surface-sensitive and third-order, bulk-dependent contributions to the vSFG response.

Evidence for general base catalysis by protic solvents in a kinetic study of alcoholyses and hydrolyses of 1-(phenoxycarbonyl)pyridinium ions under both solvolytic and non-solvolytic conditions

2009 ◽  
Vol 74 (1) ◽  
pp. 43-55 ◽  
Author(s):  
Dennis N. Kevill ◽  
Byoung-Chun Park ◽  
Jin Burm Kyong
Keyword(s):  
Second Order ◽  
Base Catalysis ◽  
Substitution Reactions ◽  
Third Order ◽  
Methoxy Derivative ◽  
First Order ◽  
General Base ◽  
Protic Solvents ◽  
Kinetics Of ◽  
Pyridinium Ions

The kinetics of nucleophilic substitution reactions of 1-(phenoxycarbonyl)pyridinium ions, prepared with the essentially non-nucleophilic/non-basic fluoroborate as the counterion, have been studied using up to 1.60 M methanol in acetonitrile as solvent and under solvolytic conditions in 2,2,2-trifluoroethan-1-ol (TFE) and its mixtures with water. Under the non- solvolytic conditions, the parent and three pyridine-ring-substituted derivatives were studied. Both second-order (first-order in methanol) and third-order (second-order in methanol) kinetic contributions were observed. In the solvolysis studies, since solvent ionizing power values were almost constant over the range of aqueous TFE studied, a Grunwald–Winstein equation treatment of the specific rates of solvolysis for the parent and the 4-methoxy derivative could be carried out in terms of variations in solvent nucleophilicity, and an appreciable sensitivity to changes in solvent nucleophilicity was found.

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