KEYWORDS: Digital signal processing, Signal processing, Fiber optics, Telecommunications, Statistical analysis, Signal attenuation, Analog electronics, Analytical research, Phase shift keying, Fourier transforms
The high-performance methods of multi-stage digital processing of linear signals of fiber optic transmission systems in the spectral and time domain with the use of Fourier transform methods are proposed. Based on the proposed methods of signal processing, a digital device for restoring of linear signals in fiber-optic transmission systems is developed. The advantage of the device is high performance, which enables digital processing of linear signals in the spectral region without loss of information.
An optical method for determine the quantity of water in milk using the visible optical radiation range is proposed. On the basis of theoretical and experimental studies of the water-milk solution spectral characteristics the proposed method mathematical model was created. The mathematical modeling of passing of the visible range optical radiation through a water-milk solution on certain thickness of the solution layer is carried out. As a result of the modeling, the dependence of the output voltage of the photo-receiver based on a pair of photodiode-operating amplifier from the relative mass fraction of milk in the water-milk solution and the wavelength of the optical radiation in the visible range is obtained.
A spectral method for estimating the dynamic uncertainty of measuring instruments based on a mathematical model of the frequency characteristic of a measuring instrument and a model of the spectral function of an input signal is presented. The model equation for estimating the amplitude value of the dynamic measurement uncertainty is obtained, which is caused by the limited properties of the measuring devices when a measuring signal passes through it in dynamic operation modes. A mathematical simulation of the characteristic of the dynamic uncertainty variation during the passage of a measuring signal through a measuring transducer is performed using the dynamic model of a vibration transducer as an example.
A method for estimating the level of confidence for determining the coverage factor based on metrological risks is proposed using the example of using information on tolerances and uncertainty of measuring the activity of ions, which allows to establish a reasonable interval around the measurement result, within which most of the values that can be justified are assigned to the measured value.
KEYWORDS: Diagnostics, Digital signal processing, Signal processing, Automatic control, LCDs, Computing systems, Control systems, Telecommunications, Amplifiers, Remote sensing
The paper presents the structural diagram and mathematical model of a vibration diagnostic system to measure angular velocities of two interconnected electric motors. The system is based on vibration signals and the control signals of the motor mechanical parameters. The measurement procedure of the rotor rotational speed is based on vibration signals during synchronization. The procedure presented allows simultaneous measurement and synchronization frequencies of rotation to diagnose of the motors' mechanical parts. The calculated reduced error of synchronizing frequencies of rotation of the rotors, which is 0.45% of the measurement range of frequencies of rotation from 0 to 80Hz.
The paper proposes a method of conversion additive and multiplicative errors, mathematical models are obtained by a Taylor expansion of the transformation equations used measuring instruments in the instrumental component of the measurement uncertainty.
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