Overlap and Add Sinusoidal Synthesis Method of Speech Signal Using Amplitude-Weighted Phase Error Function and Damping Harmonic Amplitude Parameter

2008 ◽  
Author(s):  
Jong-Bae Park ◽  
In-Sung Lee
Keyword(s):  
Speech Signal ◽  
Error Function ◽  
Phase Error ◽  
Synthesis Method ◽  
Harmonic Amplitude ◽  
Amplitude Parameter

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.

scholarly journals Structure Preserving Exemplar-Based 3D Texture Synthesis

2021 ◽  
Author(s):  
Andrew Babichev ◽  
Vladimir Alexandrovich Frolov
Keyword(s):  
Neural Network ◽  
3D Model ◽  
Texture Synthesis ◽  
Error Function ◽  
Synthesis Method ◽  
Structural Elements ◽  
The Third ◽  
3D Texture ◽  
Additional Image ◽  
Network Approaches

In this paper we propose exemplar-based 3D texture synthesis method which unlike existing neural network approaches preserve structural elements in texture. The proposed approach does this by accounting additional image properties which stand for the preservation of the structure with the help of a specially constructed error function used for training neural networks. Thanks to the proposed solution we can apply 2D texture to any 3D model (even without texture coordinates) by synthesizing high quality 3D texture and using local or world space position of surface instead 2D texture coordinates (fig. 1). Our solution is based on introducing 3 different error components in to the process of neural network fitting which helps to preserve desired properties of generated texture. The first component is for structuredness of the generated texture and the sample, the second component increases the diversity of the generated textures and the third one prevents abrupt transitions between individual pixels.

Rife-Vincent (I) Window Interpolated FFT Algorithm Based on Cubic Spline Function

2013 ◽  
Vol 732-733 ◽  
pp. 702-706 ◽  
Author(s):  
Li Li An ◽  
Rong Zhu ◽  
Yao Min Yang ◽  
Min Xu ◽  
Fei Chen
Keyword(s):  
Spline Function ◽  
Phase Error ◽  
Cubic Spline ◽  
Frequency Error ◽  
Harmonic Amplitude ◽  
Interpolation Algorithm ◽  
Amplitude Correction ◽  
Computational Speed ◽  
Cubic Spline Function ◽  
Computing Speed

In order to further improve the precision of harmonics measurement, the paper provides a new interpolation fast Fourier transform (FFT) algorithm based on RifeVincent (I) window. By using the cubic spline function to approach the ninth multinomial of frequency modification coefficient and the function of harmonic amplitude correction of the interpolation FFT algorithm based on RifeVincent (I) window, the computing speed has been improved. It can solve the contradiction between calculation accuracy and computational speed of windowed and interpolated FFT algorithm. The simulative results show that RifeVincent (I) window interpolation algorithm by using cubic spline function has the amplitude error less than 0.00001 %, the frequency error less than 0.000001 Hz, and the phase error less than 0.01%.

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

Simulation of synthetic Fresnel hologram with pixel phase error function

1996 ◽  
Vol 27 (2) ◽  
pp. 71-79 ◽  
Author(s):  
R Silvennoinen ◽  
J Uozumi ◽  
T Asakura
Keyword(s):  
Error Function ◽  
Phase Error ◽  
Fresnel Hologram

scholarly journals Verification of Phase Shifter Measurements of a Reflective Array Antenna

2021 ◽  
Vol 24 (2) ◽  
pp. 18-26
Author(s):  
M. D. Parnes
Keyword(s):  
Measurement Error ◽  
Radiation Pattern ◽  
Antenna Arrays ◽  
Measurement Errors ◽  
Phase Shifter ◽  
Error Function ◽  
Phase Error ◽  
Optical Excitation ◽  
Phase Shifters ◽  
Reference Plane

Introduction.  Large-size phased antenna arrays (PAA) frequently incorporate optical excitation schemes, whose main elements include the feed and the reflective aperture. In turn, the reflective aperture consists of several tens of thousands of radiators and phase shifters. Major distortions of the radiation pattern in reflective arrays occur due to phase errors, leading to a decrease in the gain and an increase in the side lobes of the radiation pattern. In the millimeter wavelength range, ferrite phase shifters can have an initial phase from 0 to 360 °, thus requiring measurements of the array elements following their assembly.Aim.  To develop a method for evaluating errors in measurements of the parameters of phase shifters incorporated in an antenna array by comparing theoretical and experimental data.Materials and methods.  A convenient method for determining the parameters of phase shifters is probing, in which a movable probe is connected in series with each array element. In cases where a PAA element represents a single structure consisting of a ferrite segment and a dielectric radiator, measurements are carried out using a probe in the form of a segment of a round waveguide moving towards the radiator. In order to evaluate the measurement error of such a scheme, a mechanically controlled reference phase shifter was used.Results. Measurement errors for the probe structure used were calculated based on the assumption of the phase error arising from the vector addition of the controlled and uncontrolled reflected signals at the input of the PAA element, in the section of the reference plane at the input of the probe. In addition, the S-parameters of the superposition section were calculated. The extrema of the error function were used to determine the maximum errors in measuring the phase and amplitude.Conclusion. The performed analysis confirmed the validity of the proposed method for measuring the parameters of phase shifters using a waveguide probe. The measurement error of the PAA elements according to the proposed scheme was found to be about 3 o, which is commensurate with that of recording devices.

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