High-accuracy phase-equalizer design based on bi-linearized phase-error function

2014 ◽  
Author(s):  
Wei Qin ◽  
Noboru Ito
Keyword(s):  
Error Function ◽  
Phase Error ◽  
High Accuracy ◽  
Phase Equalizer

Effect of Phase Error in Phase-Shifting Interferometer

2019 ◽  
Vol 888 ◽  
pp. 11-16 ◽  
Author(s):  
Yoshitaka Takahashi
Keyword(s):  
Phase Shift ◽  
Measurement Errors ◽  
Phase Error ◽  
Optical Path Length ◽  
High Accuracy ◽  
Optical Path ◽  
Phase Shifting ◽  
Optical Source ◽  
Phase Shifting Interferometry ◽  
Phase Shift Error

Phase-shifting interferometry is widely used because it can measure phase with high accuracy. Changing optical path length with a PZT transducer and changing frequency of the optical source with a laser diode (LD) are two common methods to apply the desired phase shift between the arms in the interferometer. In any case, however, it is not easy to apply the desired shift accurately, and if not, measurement errors occur. In order to reduce the errors, the effect of the phase shift error has been analyzed numerically especially in the case with LD.

Phase error compensation methods for high-accuracy profile measurement

2016 ◽  
Vol 27 (4) ◽  
pp. 045201 ◽  
Author(s):  
Zewei Cai ◽  
Xiaoli Liu ◽  
Xiang Peng ◽  
Zonghua Zhang ◽  
Hao Jiang ◽  
...  
Keyword(s):  
Error Compensation ◽  
Phase Error ◽  
High Accuracy ◽  
Profile Measurement ◽  
Accuracy Profile ◽  
Compensation Methods

The Study of Movement Encoder with Low Cost and High Performance

2012 ◽  
Vol 229-231 ◽  
pp. 845-848
Author(s):  
Xiao Wei Wang
Keyword(s):  
Hall Effect ◽  
High Performance ◽  
Low Cost ◽  
Error Function ◽  
Phase Error ◽  
Hall Effect Sensor ◽  
Electric Car ◽  
Position Signal ◽  
Electric Bicycle ◽  
Position Precision

The paper proposes a design scheme of movement encoder with low cost and high performance. The scheme can provide higher precise rotor position signal for motor by a hall-effect latch and a linear hall-effect sensor, and it can also provide rotational speed and direction of motor by a winding with full pole distance, at last we deduce a torque balance equation based on speed and acceleration of motor. The study shows that the scheme with low cost have much higher position precision than traditional rotational transformer and hall-effect position sensor, and it does not exist amplitude error and phase error, function error is small. It is very worthy to the wide application of motor of electric bicycle, wind-driven generator, electric car, and servomotor, etc.

A Complex Current Ratio Device for the Calibration of Current Transformer Test Sets

2011 ◽  
Vol 18 (1) ◽  
pp. 159-164 ◽  
Author(s):  
Hüseyin Çaycı
Keyword(s):  
Phase Error ◽  
Practical Method ◽  
Power Source ◽  
Current Transformer ◽  
High Accuracy ◽  
Current Ratio ◽  
Test Set ◽  
Ratio Error ◽  
Three Phase ◽  
Test Sets

A Complex Current Ratio Device for the Calibration of Current Transformer Test SetsA practical method with high accuracy in generation and application of error values for calibration of current transformer test sets is described. A PC-controlled three-phase power source with a standard wattmeter is used for generating the nominal and error test currents while an electronically compensated current comparator is used to provide summation and subtraction of them, precisely. With this method, any ratio error and phase displacement values could be generated automatically and nominal and test currents could be grounded on the test set safely. Because of its high accurate ratio and phase error generating capability, any type of test set regardless of its operating principles could be calibrated.

scholarly journals New handy and accurate approximation for the Gaussian integrals with applications to science and engineering

2019 ◽  
Vol 17 (1) ◽  
pp. 1774-1793 ◽  
Author(s):  
Mario A. Sandoval-Hernandez ◽  
Hector Vazquez-Leal ◽  
Uriel Filobello-Nino ◽  
Luis Hernandez-Martinez
Keyword(s):  
Distribution Function ◽  
Power Series ◽  
Cumulative Distribution Function ◽  
Error Function ◽  
Numerical Algorithms ◽  
High Accuracy ◽  
Cumulative Distribution ◽  
Accurate Approximation ◽  
Science And Engineering ◽  
Gaussian Integral

Abstract In this work, we propose to approximate the Gaussian integral, the error function and the cumulative distribution function by using the power series extender method (PSEM). The approximations proposed in this paper present a high accuracy for the complete domain [–∞,∞]. Furthermore, the approximations are handy and easy computable, avoiding the application of special numerical algorithms. In order to show its high accuracy, three case studies are presented with applications to science and engineering.

An Interpolation FFT Algorithm with High Accuracy

2012 ◽  
Vol 524-527 ◽  
pp. 3838-3844 ◽  
Author(s):  
Shou Ming Liu ◽  
Hong Wei Shi ◽  
Yan Jiang ◽  
Xu Min ◽  
Gen Yong Chen
Keyword(s):  
Frequency Response ◽  
Phase Error ◽  
High Accuracy ◽  
Class I ◽  
Frequency Error ◽  
Harmonic Amplitude ◽  
Interpolation Algorithm ◽  
Amplitude Error ◽  
Calculation Results ◽  
Spine Function

To further improving the precision of harmonics measurement, a new interpolation FFT algorithm based on Rife–Vincent (I) window is provided in this paper. First the spectrum leakage of FFT briefly and the frequency response of the Class I Rife- Vincent window is discussed, and then paper analyzes the interpolation algorithm on Rife–Vincent (I) window in detail. At last the cubic spine function is adopted to calculate the frequency and the harmonic amplitude modification coefficient. An example of simulation is given, and simulative calculation results show that Rife–Vincent (I) window interpolation algorithm by using cubic spine function has the amplitude error less than 1×10-6 % , the frequency error less than 1×10-7Hz, and the phase error less than 0.0001%. Comparing with other cosine windows interpolation FFT algorithm, the new interpolation FFT algorithm based on Rife–Vincent (I) window has the highest accuracy.

Characterization of Fresnel holograms by a pixel phase-error function

1996 ◽  
Vol 21 (7) ◽  
pp. 513 ◽  
Author(s):  
Raimo Silvennoinen ◽  
Jari Räsänen ◽  
Marko Honkanen
Keyword(s):  
Error Function ◽  
Phase Error
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