scholarly journals Simple Quadrature Sinusoidal Oscillator with Grounded Elements

2013 ◽  
pp. 362-365 ◽  
Author(s):  
P. Pinkaew ◽  
P. Suwanjan ◽  
W. Jaikla
Keyword(s):  
Sinusoidal Oscillator ◽  
Simple Quadrature

Design and realisation of a fractional-order sinusoidal oscillator

2020 ◽  
Vol 14 (8) ◽  
pp. 1173-1184
Author(s):  
İbrahim Ethem Saçu ◽  
Mustafa ALÇI
Keyword(s):  
Fractional Order ◽  
Sinusoidal Oscillator

scholarly journals Why simple quadrature is just as good as Monte Carlo

2020 ◽  
Vol 26 (1) ◽  
pp. 1-16
Author(s):  
Kevin Vanslette ◽  
Abdullatif Al Alsheikh ◽  
Kamal Youcef-Toumi
Keyword(s):  
Monte Carlo ◽  
Random Sampling ◽  
Bayesian Probability ◽  
Independent Factor ◽  
Worst Case ◽  
Statistical Equivalence ◽  
Deterministic Sampling ◽  
Quadrature Methods ◽  
Quadrature Sampling ◽  
Simple Quadrature

AbstractWe motive and calculate Newton–Cotes quadrature integration variance and compare it directly with Monte Carlo (MC) integration variance. We find an equivalence between deterministic quadrature sampling and random MC sampling by noting that MC random sampling is statistically indistinguishable from a method that uses deterministic sampling on a randomly shuffled (permuted) function. We use this statistical equivalence to regularize the form of permissible Bayesian quadrature integration priors such that they are guaranteed to be objectively comparable with MC. This leads to the proof that simple quadrature methods have expected variances that are less than or equal to their corresponding theoretical MC integration variances. Separately, using Bayesian probability theory, we find that the theoretical standard deviations of the unbiased errors of simple Newton–Cotes composite quadrature integrations improve over their worst case errors by an extra dimension independent factor {\propto N^{-\frac{1}{2}}}. This dimension independent factor is validated in our simulations.

Dual-Mode Quadrature Oscillator Using Current Follower Transconductance Amplifiers for GMI Sensors

2013 ◽  
Vol 712-715 ◽  
pp. 1886-1890
Author(s):  
Lei Zhang ◽  
Zhong Ming Pan
Keyword(s):  
Dual Mode ◽  
Transconductance Amplifier ◽  
Current Voltage ◽  
Sinusoidal Oscillator ◽  
Current Follower ◽  
Condition Of Oscillation ◽  
Transconductance Amplifiers ◽  
Passive Sensitivity ◽  
Quadrature Oscillators ◽  
Circuit Configuration

For designing GMI sensors, realization of current/voltage-mode (dual-mode) quadrature sinusoidal oscillator with the employment of current follower transconductance amplifier (CFTA) as the active component is presented. The proposed circuit configuration comprising two CFTAs, one grounded resistor and two grounded capacitors can simultaneously provide two explicit quadrature output currents and two quadrature output voltages. Moreover, the proposed circuit topology enjoys the advantage of independent control of the condition of oscillation and frequency of oscillation and good active and passive sensitivity performances. The functionality of the proposed quadrature oscillators has been verified by PSPICE simulations.

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