scholarly journals ALGORITHM FOR DETERMINING PHASE SHIFT OF HARMONIC SIGNALS USING STOCHASTIC DISCRETIZATION

2019 ◽  
pp. 90-96
Author(s):  
Irina Nikolaevna Zaitseva
Keyword(s):  
Mathematical Modeling ◽  
Phase Shift ◽  
Low Frequency ◽  
Practical Application ◽  
Distribution Law ◽  
Time Intervals ◽  
Harmonic Signals ◽  
Radio Signals ◽  
Basic Parameters ◽  
Signal Period

The article focuses on the problem of estimating basic parameters of harmonic signals. An algorithm for determining the phase shift of such signals by the probabilistic-statistical method is proposed. An important advantage of the algorithm is the fact that the circulation time is aliquant to the signal period or shorter. It is important when measuring parameters of infra-low-frequency radio signals. Mathematical modeling of the algorithm was carried out to study errors and assess the possibility of practical application of the algorithm for processing infra-low-frequency radio signals at stochastic discretization. The results of a numerical experiment show that the error of determining the phase shift of harmonic signals using the developed algorithm on the basis of integral samples with stochastic discretization of time intervals according to the uniform distribution law is 1/100 of a percent, and little depends on the accuracy of signal discretization by level. The error obtained corresponds to the accuracy of discretization when translating the 12-bit ADCs into analog-digital converters. The proposed algorithm can be applied for processing infra-low-frequency radio signals in acoustics and communication, as well as in geophysical and biomedical research.

scholarly journals ERROR ESTIMATION OF THE ALGORITHM FOR THE PHASE SHIFT DEFINITION OF HARMONIC SIGNALS IN THE TIMELESS THAN THE SIGNAL PERIOD USING STOCHASTIC SAMPLING

2020 ◽  
Vol 17 (36) ◽  
pp. 213-222
Author(s):  
Irina N ZAITSEVA
Keyword(s):  
Phase Shift ◽  
Harmonic Signal ◽  
Practical Implementation ◽  
Distribution Law ◽  
Stochastic Sampling ◽  
Harmonic Signals ◽  
Signal Parameters ◽  
Automation Systems ◽  
Radio Signals ◽  
Measuring Signal

Determining the parameters of a harmonic signal is one of the most common types of measurements in radio engineering, communication engineering, electronics and automation systems. The research and development of new methods for measuring the harmonic signal parameters are relevant. This work studied algorithm errors for determining the phase shift of harmonic signals using stochastic sampling. The relevance of this study is dictated by increasing requirements for the accuracy and speed of measuring equipment, the reduction of time it takes to decide on the presence of a signal while searching for it, that make it necessary to use statistically optimal methods for measuring signal parameters. The work aimed to develop an algorithm and estimate its errors for the possibility of practical implementation of the algorithm for processing infra-lowfrequency radio signals during stochastic sampling. According to the uniform distribution law, the instantaneous values in each sample of the signals under investigation are based on stochastic sampling in time. Mathematical modeling of algorithm errors for determining the phase shift of signals with harmonics, and depending on harmonics compared to the first (main) harmonic of the signal under investigation during the sampling by real analog-to-digital converters have been carried out. The obtained values of the algorithm errors for determining the phase shift of the main harmonic are within an acceptable range (30%); at harmonics amplitudes (up to the 3rd harmonic) within 20%. The computing experiment results for estimating the algorithm errors confirm the possibility of obtaining high accuracy in determining the phase shift of harmonic signals. This algorithm can be used for processing infra-low-frequency radio signals with sufficient accuracy in acoustics, hydroacoustics, seismic acoustics, underwater, and underground communication.

Pequliarities of mathematical modeling of low-frequency dynamics of the staged liquid rocket sustainer engines at its startup

2017 ◽  
Vol 23 (5) ◽  
pp. 3-13 ◽  
Author(s):  
O.V. Pylypenko ◽  
◽  
A.A. Prokopchuk ◽  
S.I. Dolgopolov ◽  
V.Yu. Pisarenko ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Low Frequency ◽  
Liquid Rocket

scholarly journals Research on road engineering detection method based on GPR technology

2020 ◽  
Vol 165 ◽  
pp. 04014
Author(s):  
Liu Tao ◽  
Li Jia ◽  
Zheng Zhi-gang ◽  
Huang Zhi ◽  
Jiang Jian ◽  
...  
Keyword(s):  
Parameter Setting ◽  
Non Destructive Testing ◽  
Practical Application ◽  
Distribution Law ◽  
Destructive Testing ◽  
Road Engineering ◽  
The Road ◽  
Image Optimization ◽  
Testing Technology ◽  
Non Destructive

GPR is an effective non-destructive testing technology. This paper introduces its composition principle and operation method, explains the process of parameter setting and image optimization, obtains the dielectric constant of 10000 points, compares it with the density, and then obtains the uniformity distribution law of construction quality based on image. By calibrating the thickness of the road surface, the effective detection of road diseases can be realized, and the theoretical basis and practical application conditions of GPR technology can be clarified.

Mathematical Modeling of Betanin Extraction from Red Beet (Beta vulgaris L.) by Solid–Liquid Method

2015 ◽  
Vol 11 (1) ◽  
pp. 17-22 ◽  
Author(s):  
Honggao Xu ◽  
Qiang Peng ◽  
Fang Yuan ◽  
Yanxiang Gao
Keyword(s):  
Mathematical Modeling ◽  
Effective Diffusion ◽  
Spherical Model ◽  
Extraction Process ◽  
Extraction Temperature ◽  
Optimal Parameters ◽  
Practical Application ◽  
Sulfurous Acid ◽  
Red Beet ◽  
Solid Liquid

Abstract Effective diffusion coefficient (D-value) is an important parameter for the extraction process. In this study, a cylindrical model to estimate the D-value of betanin extraction from red beet roots was developed. The influence of extraction temperature, pH, cylindrical thickness and type of acids on the D-value was also investigated. The optimal parameters of betanin extraction were 30°C, pH 4.0 adjusted with sulfurous acid or acetic acid. D-values under the above conditions were 18.95×10−11 m2/s and 17.87×10−11 m2/s, respectively. The result showed that D-value elevated with the increase of cylindrical thickness, which was consistent with earlier conclusion from spherical model. The modeling may be useful for the investigation into extraction process and practical application.

Biosurfactant production and its effects on solubilization activity of phenanthrene: a longitudinal study

2016 ◽  
Vol 74 (3) ◽  
pp. 580-585
Author(s):  
Masoumeh Golshan ◽  
Maryam Dastoorpour ◽  
Roshanak Rezaei Kalantary
Keyword(s):  
Time Course ◽  
Inoculum Size ◽  
Biosurfactant Production ◽  
Practical Application ◽  
Time Intervals ◽  
Initial Inoculum ◽  
Bacterial Inoculum ◽  
Polycyclic Aromatic ◽  
The Mean ◽  
Time Course Study

Pseudomonas facilis and Pseudomonasspp., isolated on the basis of its ability to grow on polycyclic aromatic hydrocarbon, was assayed for biosurfactant production (BP) potentials by measuring the surface tension (ST) of the culture supernatant at different time intervals. The strains in three levels of initial inoculum size (OD600 nm = 0.5, 1, 1.5) were added to medium to determine if bacterial inoculum size affects solubilization of phenanthrene (PHE).The result showed that although the two strains reduced the mean ST to less than 34.12 mN m−1 at the end of day 6, mean solubilization activity of PHE reached 77.05 mg L−1 on the sixth day. There was a significant increase in BP over time (P = 0.008); reaching its peak, 157.84 mg L−1, at the end of the sixth day. Mean solubilization activity of PHE was not significantly different for the two strains (P = 0.216). The time-course study revealed that the ST reduction and BP potential was enhanced as inoculation size increased, leading to higher PHE solubility during the incubation time. However, the trend of increase in PHE solubility was not totally in the same way to cell growth and BP. It may be suggested that more bacterial density needs to be inoculated for practical application of effective bioremediation.

Application of spectral analysis for determine the phase shift of signals with equal amplitudes using full-wave transformation when measuring the characteristics of weapons

2021 ◽  
pp. 12-23
Author(s):  
S. Tyshko ◽  
O. Lavrut ◽  
V. Smolar ◽  
O. Zabula ◽  
Yu. Chernichenko
Keyword(s):  
Spectral Analysis ◽  
Phase Shift ◽  
Information Transmission ◽  
Measurement Problem ◽  
Wave Transformation ◽  
Measuring Systems ◽  
Transmission Channels ◽  
Harmonic Signals ◽  
Full Wave ◽  
The Relationship

The article defines the list of technical characteristics of armaments and military equipment (ARM), the value of which is measured using phase methods. An analysis of known methods that have found wide application in measuring technology, which is designed to determine the technical characteristics associated with the measurement of phase shift during the development, manufacture and operation of weapons. Based on this analysis, it was determined that the measuring systems are designed to determine the phase shift of two harmonic signals in their composition have two channels of information transmission. This architecture of the implementation of measuring systems leads to the fact that a significant impact on the accuracy of the proposed measurement problem, makes a component of the error due to the phase symmetry of the signal transmission channels, as well as internal and external noise. As an alternative approach to solving the measurement problem of determining the phase shift of two harmonic signals, which will significantly reduce the error component due to phase asymmetry of information transmission channels, it is proposed to use the signal obtained by summing harmonic signals after full-wave transformation followed by spectral analysis. In order to implement the above approach, a measurement problem was set to determine the phase shift of two harmonic signals, using spectral analysis of the signal obtained by summing the harmonic signals after their full-wave transformation. A list of assumptions required for the synthesis of analytical relations that establish the relationship between the spectra of phases and amplitudes (power) of the signal obtained by summing harmonic signals after their full-wave transformation and phase shift of two harmonic signals. Analytical relationships are proposed that establish the relationship between the above characteristics. It is shown that the values of the spectrum of phases and amplitudes, which are calculated using the proposed expressions, differ from the values obtained in the calculations using the Fourier series coefficients, not more than 0.1%.

scholarly journals Taste the Bass: Low Frequencies Increase the Perception of Body and Aromatic Intensity in Red Wine

2019 ◽  
Vol 32 (4-5) ◽  
pp. 429-454 ◽  
Author(s):  
Jo Burzynska ◽  
Qian Janice Wang ◽  
Charles Spence ◽  
Susan Elaine Putnam Bastian
Keyword(s):  
New Zealand ◽  
Cultural Production ◽  
Exploratory Study ◽  
Red Wine ◽  
Low Frequency ◽  
Sine Wave ◽  
Pinot Noir ◽  
Practical Application ◽  
Low Frequencies ◽  
Frequency Sound

Abstract Associations between heaviness and bass/low-pitched sounds reverberate throughout music, philosophy, literature, and language. Given that recent research into the field of cross-modal correspondences has revealed a number of robust relationships between sound and flavour, this exploratory study was designed to investigate the effects of lower frequency sound (10 Hz to 200 Hz) on the perception of the mouthfeel character of palate weight/body. This is supported by an overview of relevant cross-modal studies and cultural production. Wines were the tastants — a New Zealand Pinot Noir and a Spanish Garnacha — which were tasted in silence and with a 100 Hz (bass) and a higher 1000 Hz sine wave tone. Aromatic intensity was included as an additional character given suggestions that pitch may influence the perception of aromas, which might presumably affect the perception of wine body. Intensity of acidity and liking were also evaluated. The results revealed that the Pinot Noir wine was rated as significantly fuller-bodied when tasted with a bass frequency than in silence or with a higher frequency sound. The low frequency stimulus also resulted in the Garnacha wine being rated as significantly more aromatically intense than when tasted in the presence of the higher frequency auditory stimulus. Acidity was rated considerably higher with the higher frequency in both wines by those with high wine familiarity and the Pinot Noir significantly better liked than the Garnacha. Possible reasons as to why the tones used in this study affected perception of the two wines differently are discussed. Practical application of the findings are also proposed.

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