scholarly journals Influences on amplitude estimation using three-parameter sine fitting algorithm in the velocity mode of the Planck-Balance

ACTA IMEKO ◽  
2020 ◽  
Vol 9 (3) ◽  
pp. 40
Author(s):  
Shan Lin ◽  
Christian Rothleitner ◽  
Norbert Rogge ◽  
Thomas Fröhlich
Keyword(s):  
Gaussian White Noise ◽  
Harmonic Distortion ◽  
Frequency Error ◽  
Induced Voltage ◽  
Force Factor ◽  
Time Jitter ◽  
Amplitude Estimation ◽  
Additive Gaussian White Noise ◽  
Fitting Algorithm ◽  
Velocity Mode

The Planck-Balance is a table-top version of a Kibble balance. In contrast to many other Kibble balances, the coil is moved sinusoidally and an ac rather than a dc signal is generated in the velocity mode. The three-parameter sine fitting algorithm is applied to estimate the amplitudes of the induced voltage and the coil motion, which are used to determine the force factor Bl of the voice coil of the electromagnetic force compensation balance. However, the three-parameter sine fitting algorithm is not robust against some perturbations, e.g. additive Gaussian white noise, quantization error, harmonic distortion, frequency error and time jitter. These effects have influences on the accuracy of the amplitude estimation. Based on numerical simulations and correlation analyses, the effects of these perturbations are determined. By optimizing measurement and data processing approach, the bias and standard deviation of the estimated amplitude can be effectively reduced, and thus the accuracy of the force factor Bl in the velocity mode can be improved.

Experimental Verifications and Simulations of Magnetic Motor of Circular Miniature Loudspeaker for Total Harmonic Distortion Improvement

2011 ◽  
Vol 87 ◽  
pp. 136-139
Author(s):  
Suryappa Jayappa Pawar ◽  
Soar Weng ◽  
Jin Huang Huang
Keyword(s):  
Sound Pressure Level ◽  
Tensile Testing ◽  
Sound Pressure ◽  
Magnetic System ◽  
Harmonic Distortion ◽  
Pressure Level ◽  
Total Harmonic Distortion ◽  
Force Factor ◽  
Element Simulation ◽  
Chamber Measurements

The reduction in total harmonic distortion of miniature loudspeaker is reported by investigating the force factor (Bl(x)). Micro tensile testing is employed to get Bl(x) vs x curves, which verify finite element simulation. Furthermore, magnetic system of miniature loudspeaker is modified to obtain tailor made Bl(x) vs x curves. Based on it, prototypes are fabricated, which is followed by total harmonic distortion and sound pressure level measurements in an anechoic chamber. Measurements reveal a significant reduction in total harmonic distortion without affecting the sound pressure level.

Testing for the presence of sinusoidal components

1986 ◽  
Vol 23 (A) ◽  
pp. 201-210 ◽  
Author(s):  
B. G. Quinn
Keyword(s):  
Time Series ◽  
White Noise ◽  
Likelihood Ratio ◽  
Likelihood Ratio Test ◽  
Gaussian White Noise ◽  
Ratio Test ◽  
Additive Gaussian White Noise

Approximate and asymptotic distributional results are obtained for the likelihood ratio test of the hypothesis that a time series is composed from s sinusoidal components, at unknown frequencies, with additive Gaussian white noise, against the hypothesis that there are an additional r sinusoidal components at unknown frequencies. The work extends that of Fisher (1929), and contains a number of simulations illustrating the results.

Probabilistic Solution of Vibro-Impact Systems Under Additive Gaussian White Noise

2014 ◽  
Vol 136 (3) ◽  
Author(s):  
H. T. Zhu
Keyword(s):  
White Noise ◽  
Duffing Oscillator ◽  
Gaussian White Noise ◽  
Planck Equation ◽  
Solution Procedure ◽  
Additive Gaussian White Noise ◽  
Stationary Probability Density Function ◽  
Probabilistic Solution ◽  
Zero Offset ◽  
Polynomial Closure

This paper presents a solution procedure for the stationary probability density function (PDF) of the response of vibro-impact systems under additive Gaussian white noise. The constraint is a unilateral zero-offset barrier. The vibro-impact system is first converted into a system without barriers using the Zhuravlev nonsmooth coordinate transformation. The stationary PDF of the converted system is governed by the Fokker–Planck equation which is solved by the exponential-polynomial closure (EPC) method. A vibro-impact Duffing oscillator with either elastic or lightly inelastic impacts is considered in a numerical analysis. Meanwhile, the level of nonlinearity in displacement is also examined in this study as well as the case of negative linear stiffness. Comparison with the simulated results shows that the EPC method can present a satisfactory PDF for displacement and velocity when the polynomial order is taken as 4 in the investigated cases. The tail of the PDF also works well with the simulated result.

A novel diversiform stochastic resonance of a domain wall and its performance at different states

2016 ◽  
Vol 30 (09) ◽  
pp. 1650167
Author(s):  
Haibin Zhang ◽  
Kesai Ouyang ◽  
Qingbo He ◽  
Fanrang Kong
Keyword(s):  
Domain Wall ◽  
Stochastic Resonance ◽  
Potential Model ◽  
Signal To Noise Ratio ◽  
Gaussian White Noise ◽  
Linear Response Theory ◽  
Theoretical Derivation ◽  
Additive Gaussian White Noise ◽  
Analytical Expressions ◽  
Stable Stage

The response of an underdamped stochastic resonance (SR) with a new pining potential model of domain wall (DW) in ferromagnetic strips driven by additive Gaussian white noise to an additive weak harmonic forcing is investigated. We address that the new nonlinear system can be converted between bi-stable and mono-stable freely by tuning the system parameters. Analytical expressions of signal-to-noise ratio (SNR) of the bi-stable stage is obtained based on the linear response theory. In addition, another type of SR, which occurs when the system is mono-stable, is also reported with the intrinsic frequency derived analytically. The SR in mono-stable stage confirms to the typical physical resonance better with frequency-selection characteristic. Numerical simulation of both stages is carried out with outputs conforming to the theoretical derivation. Owing to the diversity of potential model, the new system possesses considerable merits for engineering applications.

Multiplicative Noise Removal Based on Unbiased Box-Cox Transformation

2017 ◽  
Vol 22 (3) ◽  
pp. 803-828 ◽  
Author(s):  
Yu-Mei Huang ◽  
Hui-Yin Yan ◽  
Tieyong Zeng
Keyword(s):  
Multiplicative Noise ◽  
Additive Noise ◽  
Gaussian White Noise ◽  
Three Dimensional ◽  
Noise Removal ◽  
Block Matching ◽  
Likelihood Method ◽  
Additive Gaussian White Noise ◽  
Multiplicative Noise Removal ◽  
Box Cox Transformation

AbstractMultiplicative noise removal is a challenging problem in image restoration. In this paper, by applying Box-Cox transformation, we convert the multiplicative noise removal problem into the additive noise removal problem and the block matching three dimensional (BM3D) method is applied to get the final recovered image. Indeed, BM3D is an effective method to remove additive Gaussian white noise in images. A maximum likelihood method is designed to determine the parameter in the Box-Cox transformation. We also present the unbiased inverse transform for the Box-Cox transformation which is important. Both theoretical analysis and experimental results illustrate clearly that the proposed method can remove multiplicative noise very well especially when multiplicative noise is heavy. The proposed method is superior to the existing methods for multiplicative noise removal in the literature.

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