The Fundamental Building Blocks –First Order Catchments

2014 ◽  
pp. 47-63
Author(s):  
Leon Bren
Keyword(s):  
Building Blocks ◽  
First Order

scholarly journals All-digital ΔΣ time-to-digital converter with bi-directional gated delay line time integrator

2021 ◽  
Author(s):  
Parth Parekh
Keyword(s):  
Delay Line ◽  
Building Blocks ◽  
Cmos Technology ◽  
Time Variable ◽  
Noise Shaping ◽  
Digital Converter ◽  
First Order ◽  
Time To Digital Converter ◽  
Oversampling Ratio ◽  
Signal Band

This report presents a low-power time integrator and its applications in an all-digital first-order ΔΣ time-to-digital converter (TDC). Time-to-Digital Converter (TDC) that map a time variable to a digital code is the most important building blocks of time-mode circuits. The time integrator is realized using a bi-directional gated delay line (BD-GDL) with time variable to be integrated as the gating signal. The integration of the time variable is obtained via the accumulation of the charge of the load capacitor and the logic state of gated delay stages. Issues affecting the performance of the time integrator and TDC are examined. The all-digital first-order ΔΣ TDC utilizing the time integrator was designed in using IBM 130 nm 1.2 V CMOS technology and analysed using Spectre ASP from Cadence Design Systems with BSIM4 models. A sinusoid time input of 333 ps amplitude and 231 kHz frequency with an oversampling ratio 68 was digitized by the modulator. The TDC provides first-order noise-shaping and a SNR of 34.64 dB over the signal band 48.27 ~ 231 kHz while consuming 293.8 μW.

scholarly journals All-digital ΔΣ time-to-digital converter with bi-directional gated delay line time integrator

2021 ◽  
Author(s):  
Parth Parekh
Keyword(s):  
Delay Line ◽  
Building Blocks ◽  
Cmos Technology ◽  
Time Variable ◽  
Noise Shaping ◽  
Digital Converter ◽  
First Order ◽  
Time To Digital Converter ◽  
Oversampling Ratio ◽  
Signal Band

This report presents a low-power time integrator and its applications in an all-digital first-order ΔΣ time-to-digital converter (TDC). Time-to-Digital Converter (TDC) that map a time variable to a digital code is the most important building blocks of time-mode circuits. The time integrator is realized using a bi-directional gated delay line (BD-GDL) with time variable to be integrated as the gating signal. The integration of the time variable is obtained via the accumulation of the charge of the load capacitor and the logic state of gated delay stages. Issues affecting the performance of the time integrator and TDC are examined. The all-digital first-order ΔΣ TDC utilizing the time integrator was designed in using IBM 130 nm 1.2 V CMOS technology and analysed using Spectre ASP from Cadence Design Systems with BSIM4 models. A sinusoid time input of 333 ps amplitude and 231 kHz frequency with an oversampling ratio 68 was digitized by the modulator. The TDC provides first-order noise-shaping and a SNR of 34.64 dB over the signal band 48.27 ~ 231 kHz while consuming 293.8 μW.

scholarly journals Generalized Mutual Information

Stats ◽  
2020 ◽  
Vol 3 (2) ◽  
pp. 158-165
Author(s):  
Zhiyi Zhang
Keyword(s):  
Information Theory ◽  
Positive Integer ◽  
Mutual Information ◽  
General Class ◽  
Building Blocks ◽  
Potential Utility ◽  
First Order ◽  
The Family ◽  
Random Elements

Mutual information is one of the essential building blocks of information theory. It is however only finitely defined for distributions in a subclass of the general class of all distributions on a joint alphabet. The unboundedness of mutual information prevents its potential utility from being extended to the general class. This is in fact a void in the foundation of information theory that needs to be filled. This article proposes a family of generalized mutual information whose members are indexed by a positive integer n, with the nth member being the mutual information of nth order. The mutual information of the first order coincides with Shannon’s, which may or may not be finite. It is however established (a) that each mutual information of an order greater than 1 is finitely defined for all distributions of two random elements on a joint countable alphabet, and (b) that each and every member of the family enjoys all the utilities of a finite Shannon’s mutual information.

Cascadable and Tunable Analog Building Blocks Using EX-CCCII

2017 ◽  
Vol 26 (06) ◽  
pp. 1750093 ◽  
Author(s):  
Sudhanshu Maheshwari ◽  
Deepak Agrawal
Keyword(s):  
Supply Voltage ◽  
Building Blocks ◽  
Second Order ◽  
Input Current ◽  
Pass Filter ◽  
Current Output ◽  
First Order ◽  
Component Matching ◽  
Electronically Tunable ◽  
Matching Constraints

A new cascadable voltage-input, current-output first-order all-pass filter and its applications in second-order filter and oscillator are presented. The proposed circuit employs a single active element namely extra-X current-controlled current conveyor (EX-CCCII) and only a single grounded capacitor. The circuit exhibits high input and high output impedances, so that the filter can be cascaded without additional buffers. The pole frequency is electronically tunable and the circuit requires no component matching constraints. Effects of nonidealities and parasitics are also discussed. As applications, a second-order transadmittance (TA)-mode all-pass filter and a quadrature oscillator are also realized using the proposed voltage-input, current-output first-order all-pass filter. These examples validate easy cascading feature of the proposed circuit. The validity of the proposed circuit is verified through PSPICE simulations using 0.25[Formula: see text][Formula: see text]m parameters with a supply voltage of [Formula: see text][Formula: see text]V.

The Na2X Superalkali Species (X=SH, SCH3, OCH3,CN, N3) as Building Blocks in the Na2XY Salts (Y=MgCl3, Cl, NO2). An Ab Initio Study of the Electric Propertiesof the Na2XY Salts

2010 ◽  
Vol 63 (11) ◽  
pp. 1573 ◽  
Author(s):  
Iwona Anusiewicz
Keyword(s):  
Ab Initio ◽  
Ionization Potential ◽  
Dipole Moments ◽  
Building Blocks ◽  
Ionization Potentials ◽  
Ab Initio Methods ◽  
Vertical Ionization Potential ◽  
Electron Affinities ◽  
Ab Initio Study ◽  
First Order

Vertical and adiabatic ionization potentials of Na2X (X = SH, SCH3, OCH3, CN, and N3) superalkali molecules have been studied using the ab initio methods. The smallest vertical ionization potential was calculated for the Na2OCH3 system (4.365 eV). The Na2X molecules were found to be capable of forming stable [Na2X]+[Y]– salts with the species exhibiting various electron affinities (Y = MgCl3, Cl, NO2). The dipole moments, polarizabilities, and first-order hyperpolarizabilities of the Na2XY ionic salts were calculated and discussed. It was found that the Na2XNO2 molecules possess extraordinary large values of anisotropy of polarizabilities (in the 15.5–28.2 × 10–24 esu range) and the first-order hyperpolarizbilities (spanning the 597.8–1295.7 × 10–30 esu range).

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