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Article
Recognition of Signals from Pulsed Sources Based on the Form of Wavelet Spectra Constructed by the Principal Component Method
A method for recognizing infrasound acoustic signals for two types of sources based on the analysis of the shape of their wavelet spectra is proposed. The idea of constructing this form is based on the princip...
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Article
Data Analysis and Interpretation: Methods of Computer-Aided Measuring Transducer Theory, Morphological Analysis, Possibility Theory, and Subjective Mathematical Modeling
This article provides an overview of the fundamental research directions being pursued at the Faculty of Physics of Lomonosov Moscow State University under the guidance of Professor Yuri Petrovich Pyt’ev. Thes...
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Article
Acoustic Probing of the Anisotropic Structure of the Atmosphere
A new decomposition method (decomposition into N and U-waves) of infrasonic signals corresponding to partial reflection of N-wave sounding pulses from anisotropic atmospheric layers and recorded in areas of ge...
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Article
Gap Recovery in the Time Series of CO \({}_{\mathbf{2}}\) Concentration and Air Temperature Using Methods of Mathematical Statistics
The article is dedicated to the problem of recovering gaps in data series of experimental long-term continuous high-frequency observations of carbon dioxide concentration and air temperature. The study was con...
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Article
Subjective Restoration of Omissions in the Measurement Data of an Object of Study and Its Mathematical Model
This paper deals with the formulation and solution of problems on the empirical restoration of the subjective mathematical model of an object of study, the scheme of its measurements, and the subjective interp...
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Article
Neural Network for Data Preprocessing in Computed Tomography
We propose a lightweight noise-canceling filtering neural network that implements the filtering stage in the algorithm for tomographic reconstruction of convolution and backprojection (Filtered BackProjection...
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Article
Morphological and Other Research Techniques for Almost Cyclic Time Series as Applied to СО2 Concentration Series
Based on the morphological analysis techniques developed under the guidance of Yu.P. Pyt’ev, a method for filtering time series is proposed that is capable of detecting an almost cyclic component with a varyin...
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Article
Piecewise Constant Signal Estimation by the Recording of Signal Measurements in a Linear Scheme
This paper proposes a method and an algorithm for the reconstruction of piecewise constant signals using the registration results obtained by devices whose operation can be described by a linear fuzzifier and ...
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Article
Effective Modes Method to Estimate the Temperature of Weakly Bound Molecular Systems
The paper proposes an approach to estimate the number of modes of collective movement of particles in weakly bound molecular systems, based on the principal component analysis. The example of the water molecul...
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Article
Modeling of Phase Transitions in Weakly Bound Molecular Clusters
The method of molecular dynamics was used for modeling the isomerization of a hydrogen bonding network in small water clusters (hexamer and octamer). The collective modes of the particles moving in the cluster...
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Article
Studying internal gravity waves generated by atmospheric fronts over the Moscow region
Internal gravity wave (IGW) data obtained during the passage of atmospheric fronts over the Moscow region in June–July 2015 is analyzed. IGWs were recorded using a group of four microbarographs (developed at t...
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Article
On cloud bottom boundary determination by digital stereo photography from the Earth’s surface
In this paper, we studied the method for measuring the cloud bottom boundary altitude using the stereo pair of cloud images obtained using two digital photo cameras. We suggested a method for determining the c...
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Article
Estimating the Parameters of Images and Signals by Morphological Analysis
The basic principle of morphological analysis of images and signals is formulated. The concept of shape, defined as an invariant of signal transformations that model changes in the detection conditions, is bas...
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Article
On the estimation of the Maximum possibility for the parameters of a measurement model
The problem of estimating the parameters of the model of a measurement experiment using the results of measurements with an error is considered. The mathematical model of the measurement error is formulated in...
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Article
An analysis of images of opaque objects in the problem of the optimization of the focusing of optical systems
An urgent problem of the optimization of automated optical microscopy is considered. An approach is suggested during which variations in the brightness of a Gaussian beam in microscope optics are analyzed. A d...
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Chapter
Morphological Image Analysis for Computer Vision Applications
Some original and novel morphological concepts and tools are presented in this chapter as well as required amount of mathematical morphological basics. The continuous binary morphology based on a computational...
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Article
The possibility of estimating the values of a function at given points of the measurement results of a finite number of its linear functionals
The possibility of estimating the values of a function at given points of its domain is investigated. The estimation uses results of the measurements of a finite number of linear functionals; the results of th...
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Article
Studying possibilities for the classification of infrasonic signals from different sources
Atmospheric infrasonic signals were classified on the basis of data obtained in the United States (University of Alaska, Fairbanks) and in the Antarctic region (Windless Bight) from 1980 to 1983. The data arch...
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Article
The possibility of the classification of infrasonic signals using methods for checking statistical hypotheses
This work is devoted to the possibility of the classification of signals using methods for checking statistical hypotheses. On the basis of analysis of the typical peculiarities of signals that belong to the s...
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Article
On experience in using the method of morphological data analysis in atmospheric acoustics
A methodical system has been developed to solve the problem of isolating informative signals against the background of noise which is based on a morphological analysis. It is shown that the morphological metho...
