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Journal articles on the topic 'Signal processing Mathematical models'

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1

Rogozinsky, G., M. Chesnokov, and A. Kutlyiarova. "Some New Mathematical Models of Synthesized Sound Signals." Proceedings of Telecommunication Universities 8, no. 2 (June 30, 2022): 76–81. http://dx.doi.org/10.31854/1813-324x-2022-8-2-76-81.

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Modern sound synthesis systems make it possible to implement various signal generation algorithms of higher complexity. The theory of sound synthesis actively uses the mathematical apparatus of analog and digital radio engineering and signal processing, however, it should be noted that the classical signal models used in acoustics are not adequate to real-world synthesized signals, mainly due to the significant complexity of the latter. This article presents some models of synthesized signals typical for practical use.
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Monakov, A. A., and A. A. Tarasenkov. "Comparative Analysis of Mathematical Models of Tracking Radio Altimeters." Journal of the Russian Universities. Radioelectronics 25, no. 4 (September 29, 2022): 72–80. http://dx.doi.org/10.32603/1993-8985-2022-25-4-72-80.

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Introduction. Tracking radio altimeters of low altitudes are widely used in civil aviation. These devises use periodic frequency modulated continuous wave (FMCW) signals, while altitude measurements are based on processing the beat signal processing. For this purpose, a closed automatic control loop is arranged to maintain the frequency of the beat signal at a fixed level by changing parameters of the transmitted signal (the frequency deviation or the modulation period). An alternative approach to arranging the tracking loop for altitude variations is based on the use of a phase locked loop (P
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Qu, Qiuhui. "Application of MATLAB in signal and system." SHS Web of Conferences 145 (2022): 01029. http://dx.doi.org/10.1051/shsconf/202214501029.

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Signal and system course is an important professional basic course for electronic information and communication majors. Signal and system are abstract concepts, which are described by mathematical models. In daily life, simple signals can be calculated or drawn manually, but complex signals are difficult to be accurately processed. Matlab contains graphics processing and symbol operation functions, which provides us with powerful tools to solve the above problems. This paper will introduce how to use Matlab to express, calculate and process signals, and realize the systematic analysis of signa
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Tague, John A., and Kerry D. Schutz. "Seismic transient deconvolution with model‐based signal processing." GEOPHYSICS 62, no. 4 (July 1997): 1321–30. http://dx.doi.org/10.1190/1.1444234.

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Short duration seismic disturbances, obscured by earth noise and distorted by the seismometers used to measure them, can be reconstructed using model‐based signal processing. “Model based” means that mathematical models of the seismic transient, earth noise, and seismometer dynamics are infused into the signal processor that estimates the disturbance. The processor imposes no predetermined structure on the transient and the earth noise need not be white. Model‐based processors produce good quality estimates for a broad class of transient waveforms.
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Sharko, Artem. "MODELS AND METHODS OF PROCESSING OF INFORMATION ON LOADS OF ACOUSTIC SIGNALS IN TECHNICAL DIAGNOSTIC SYSTEMS." Informatyka Automatyka Pomiary w Gospodarce i Ochronie Środowiska 8, no. 3 (September 25, 2018): 15–18. http://dx.doi.org/10.5604/01.3001.0012.5276.

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The paper presents one-dimensional discrete-continuous model of power spectrum estimation of the acoustic emission signal, that allows filtering the oscillating components of the acoustic emission signals. The mathematical formalism describing the environment was discussed, initiating the signals of acoustic emission. The problem of spectral analysis and synthesis of acoustic emission signals was solved with the help of Fourier transform. The dependence of acoustic vibrations spectra on the size of the medium parameters and microstructure has been discussed, as well.
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Lavanya, S., S. Prabakaran, and N. Ashok Kumar. "A Deep Learning Technique for Detecting High Impedance Faults in Medium Voltage Distribution Networks." Engineering, Technology & Applied Science Research 12, no. 6 (December 1, 2022): 9477–82. http://dx.doi.org/10.48084/etasr.5288.

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Utility companies always struggle with the High Impedance Fault (HIF) in the electrical distribution systems. In this article, the current signal is seen in situations involving 10,400 different samples, with and without HIF, like linear, non-linear load, and capacitance switching. A better method that processes signals very fast and with low sample rates, requiring less memory and computational labor, is demonstrated by Mathematical Morphology (MM). For HIF identification, Deep Convolution Neural Networks (DCNNs) are being developed. This paper presents a novel method for signal processing wi
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Beardah, C. C., and R. M. Thomas. "Two mathematical models of unconfined detonation and their numerical solution." Circuits, Systems, and Signal Processing 13, no. 2-3 (June 1994): 155–65. http://dx.doi.org/10.1007/bf01188103.

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8

Lomakin, A., D. Pantenkov, and V. Sokolov. "Mathematical Models of Satellite Communication Systems with Unmanned Aerial Vehicles and Counter-Means of Radio Control. Part 2." Proceedings of Telecommunication Universities 5, no. 4 (2019): 37–48. http://dx.doi.org/10.31854/1813-324x-2019-5-4-37-48.

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The article is devoted to the issues of stealth satellite radio channels with unmanned aerial vehicles (UAV) and it is consists of two parts. In the first part of this article the following questions are considered: the general statement of a system development problem of satellite model communication providing its stealth functioning by means of radio monitoring is carried out; the mathimatical apparatus for the assessing the effectiveness of ensuring spatial selectivity in the organization of satellite communication lines at hidden objects of their functioning is presented; the functioning m
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9

Al-Suod, Mahmoud, Abdullah Eial Awwad, Alaa Al-Quteimat, and Oleksandr Ushkarenko. "Method for describing signal conversion processes in analog electronic systems." Bulletin of Electrical Engineering and Informatics 11, no. 1 (February 1, 2022): 82–92. http://dx.doi.org/10.11591/eei.v11i1.3545.

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One of the main tasks of information technology is to improve existing and develop new methods for formal recording of various dynamic logical operations of analog and digital signal conversion in electronic control systems, acquisition, and processing of information. The stage of formal recording of any signal transformation process must be presented in the form of analytic symbols, the sequence of which must form a fully functional mathematical model. The improved method of the signals conversion processes description based on a representation of the mathematical models of the electronic cir
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Marano, Stefano, and Marco Marano. "Frontiers in hemodialysis: Solutions and implications of mathematical models for bicarbonate restoring." Biomedical Signal Processing and Control 52 (July 2019): 321–29. http://dx.doi.org/10.1016/j.bspc.2019.02.029.

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11

Niang, Oumar, Abdoulaye Thioune, Éric Deléchelle, Mary Teuw Niane, and Jacques Lemoine. "About a Partial Differential Equation-Based Interpolator for Signal Envelope Computing: Existence Results and Applications." ISRN Signal Processing 2013 (March 7, 2013): 1–18. http://dx.doi.org/10.1155/2013/605035.

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This paper models and solves the mathematical problem of interpolating characteristic points of signals by a partial differential Equation-(PDE-) based approach. The existence and uniqueness results are established in an appropriate space whose regularity is similar to cubic spline one. We show how this space is suitable for the empirical mode decomposition (EMD) sifting process. Numerical schemes and computing applications are also presented for signal envelopes calculation. The test results show the usefulness of the new PDE interpolator in some pathological cases like input class functions
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12

Konopel'kin, M. Yu, S. V. Petrov, and D. A. Smirnyagina. "Implementation of stochastic signal processing algorithms in radar CAD." Russian Technological Journal 10, no. 5 (October 21, 2022): 49–59. http://dx.doi.org/10.32362/2500-316x-2022-10-5-49-59.

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Objectives. In 2020, development work on the creation of a Russian computer-assisted design system for radars (radar CAD) was completed. Radar CAD provides extensive opportunities for creating simulation models for developing the hardware-software complex of radar algorithms, which take into account the specific conditions of aerospace environment observation. The purpose of the present work is to review and demonstrate the capabilities of radar CAD in terms of implementing and testing algorithms for processing stochastic signals.Methods. The work is based on the mathematical apparatus of line
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Quiroz-Juárez, Mario Alan, Juan Alberto Rosales-Juárez, Omar Jiménez-Ramírez, Rubén Vázquez-Medina, and José Luis Aragón. "ECG Patient Simulator Based on Mathematical Models." Sensors 22, no. 15 (July 30, 2022): 5714. http://dx.doi.org/10.3390/s22155714.

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In this work, we propose a versatile, low-cost, and tunable electronic device to generate realistic electrocardiogram (ECG) waveforms, capable of simulating ECG of patients within a wide range of possibilities. A visual analysis of the clinical ECG register provides the cardiologist with vital physiological information to determine the patient’s heart condition. Because of its clinical significance, there is a strong interest in algorithms and medical ECG measuring devices that acquire, preserve, and process ECG recordings with high fidelity. Bearing this in mind, the proposed electronic devic
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14

Gasanov, A. R., R. A. Gasanov, R. A. Ahmadov, and M. V. Sadikhov. "Mathematical Models of the Acousto-Optic Delay Line Characteristics and Their Adequacy Assessment." Proceedings of Universities. Electronics 26, no. 5 (2021): 410–25. http://dx.doi.org/10.24151/1561-5405-2021-26-5-410-425.

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In radioengineering systems, various methods and technical means are used for signal processing, the selection criteria of which are optimized for the best result of assigned task solution. The study of an analog signal shift on the time axis is one of the widely used radio engineering problems. In this work, the functional capabilities of an acousto-optic delay line (AODL) in the context of processing analog signals in the time domain are listed. The urgency of creating mathematical models of the AODL main characteristics and their study was substantiated. The AODL circuit and its operation p
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15

Bondar, O. G., E. O. Brezhneva, O. G. Dobroserdov, K. G. Andreev, and N. V. Polyakov. "Synthesis and Parameterization of Gas Sensor Models." Proceedings of the Southwest State University 25, no. 1 (May 30, 2021): 138–61. http://dx.doi.org/10.21869/2223-1560-2021-25-1-138-161.

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Purpose of research: search and analysis of existing models of gas-sensitive sensors. Development of mathematical models of gas-sensitive sensors of various types (semiconductor, thermocatalytic, optical, electrochemical) for their subsequent use in the training of artificial neural networks (INS). Investigation of main physicochemical patterns underlying the principles of sensor operation, consideration of the influence of environmental factors and cross-sensitivity on the sensor output signal. Comparison of simulation results with actual characteristics produced by the sensor industry. The c
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16

Markelov, N. "ANALYTICAL MODEL OF PACKET TRANSMISSION OF SPEECH AND DATA IN HF RADIO CHANNELS IN A COMPLEX SIGNAL-INTERFERENCE ENVIRONMENT." National Association of Scientists 1, no. 67 (June 15, 2021): 45–49. http://dx.doi.org/10.31618/nas.2413-5291.2021.1.67.422.

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The author has carried out an analytical simulation of the process of signal formation and processing in the HF channel during packet transmission of speech and data in a complex signal-interference environment. The totality of the result obtained can be the basis for the development of complex mathematical models of HF channels.
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17

Cai, Zhijun, Er-wei Bai, and Richard K. Shields. "Fatigue and non-fatigue mathematical muscle models during functional electrical stimulation of paralyzed muscle." Biomedical Signal Processing and Control 5, no. 2 (April 2010): 87–93. http://dx.doi.org/10.1016/j.bspc.2009.12.001.

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18

Merizalde, Yuri, Luis Hernández-Callejo, Oscar Duque-Perez, and Raúl Alberto López-Meraz. "Fault Detection of Wind Turbine Induction Generators through Current Signals and Various Signal Processing Techniques." Applied Sciences 10, no. 21 (October 22, 2020): 7389. http://dx.doi.org/10.3390/app10217389.

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In the wind industry (WI), a robust and effective maintenance system is essential. To minimize the maintenance cost, a large number of methodologies and mathematical models for predictive maintenance have been developed. Fault detection and diagnosis are carried out by processing and analyzing various types of signals, with the vibration signal predominating. In addition, most of the published proposals for wind turbine (WT) fault detection and diagnosis have used simulations and test benches. Based on previous work, this research report focuses on fault diagnosis, in this case using the elect
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19

Gurnov, K. B., and E. M. Izotova. "Simulation of SAR signal processing system in telescopic mapping." Issues of radio electronics, no. 12 (February 3, 2021): 23–29. http://dx.doi.org/10.21778/2218-5453-2020-12-23-29.

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At the present stage of development of surveillance tools, the most popular are radar tools. A special place among such systems is occupied by radars with a synthesized antenna aperture, which make it possible to obtain high-resolution radar images with a relatively small size of the antenna system. The creation of such radar facilities has a number of features, which increases the cost of the development process and increases the time frame, and verification of work can be complicated by the inability to form the required conditions. To eliminate such difficulties, it is advisable to create a
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Kluth, Tobias. "Mathematical models for magnetic particle imaging." Inverse Problems 34, no. 8 (June 12, 2018): 083001. http://dx.doi.org/10.1088/1361-6420/aac535.

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21

Kovtun, S., A. Vetoshkin, A. Yermolenko, and V. Kutsenko. "CHARACTERISTICS OF THE IMPLICATIONS OF m-ROZPODL NAKAGAM." Наукові праці Державного науково-дослідного інституту випробувань і сертифікації озброєння та військової техніки 12, no. 3 (October 20, 2022): 43–54. http://dx.doi.org/10.37701/dndivsovt.13.2022.05.

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Detection of a correlation signal against the background of noise (occurence) is an important task of primary information processing in modern radio engineering systems of information transmission, control, navigation, radio monitoring and radiolocation. The reception of radio signals is accompanied by many accidental factors, which lead to the fact that the additive mixture very often has a non-causal distribution. For this reason, the methods of the theory of probability and mathematical statistics are used for the acceptance and processing of the accepted signal, and the acceptance and dete
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Arik, Sercan O., Joseph M. Kahn, and Keang-Po Ho. "MIMO Signal Processing for Mode-Division Multiplexing: An overview of channel models and signal processing architectures." IEEE Signal Processing Magazine 31, no. 2 (March 2014): 25–34. http://dx.doi.org/10.1109/msp.2013.2290804.

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23

Mamalis, A. G., I. Nevliudov, and Yu Romashov. "An approach for numerical simulating and processing of measured electrical signals from board sensors installed on wheeled electro-mechanical platforms." Journal of Instrumentation 16, no. 10 (October 1, 2021): P10006. http://dx.doi.org/10.1088/1748-0221/16/10/p10006.

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Abstract The generalized approaches of mathematical modelling for numerical simulating and processing of measured electrical signals from board sensors installed on wheeled electro-mech­an­ical platforms are developed in this research. The mathematical backgrounds of the developed approaches are elaborated on the basis of especially formulated initial-value problems need to be solved numerically or the identification procedure need to be applied. It is shown that using the Lagrange's formalism and the electro-mechanical analogies for constructing the improved coupled mathematical models both t
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Baranov, G., and R. Gabruk. "Simulator Software of Process Modeling of Radar Solution Under Action of Adaptive Detection of Target Objects in Conditions of Spacious Noise." Metrology and instruments, no. 4 (August 30, 2018): 51–55. http://dx.doi.org/10.33955/2307-2180(4)2018.51-55.

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In this paperare considered methods for optimizing spatio-temporal signal processing for the complete or partial suppression of unwanted side lobes of interference. The method of operation of the signal-filter pair was perfected using an iterative procedure to maximize the signal-to-noise ratio. Simulated verification of the developed technique was carried out. In order to train operators according to training programs, algebraic expressions are proposed. Mathematical models are implemented in Matlab programming environment.
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Li, Qiang. "Using Nonlinear Diffusion Model to Identify Music Signals." Advances in Mathematical Physics 2021 (October 13, 2021): 1–11. http://dx.doi.org/10.1155/2021/2210953.

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In this paper, combined with the partial differential equation music signal smoothing model, a new music signal recognition model is proposed. Experimental results show that this model has the advantages of the above two models at the same time, which can remove noise and enhance music signals. This paper also studies the music signal recognition method based on the nonlinear diffusion model. By distinguishing the flat area and the boundary area of the music signal, a new diffusion coefficient equation is obtained by combining these two methods, and the corresponding partial differential equat
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Shlykov, Vladyslav, Vitalii Kotovskyi, Nikolaj Višniakov, and Andžela Šešok. "Model for Elimination of Mixed Noise from MRI Heart Images." Applied Sciences 10, no. 14 (July 9, 2020): 4747. http://dx.doi.org/10.3390/app10144747.

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A method for the preliminary processing of MRI images of the heart that allows for the elimination of fluctuation and impulse noise from useful signals is proposed. These types of noise are due to the regular geometric structure of the photoelectric elements of the MRI scanner matrix and the structure of the signal transmission channel. The aim of this work is to develop a comprehensive mathematical model for eliminating noise in the signal of an MRI scanner. In this work, mathematical models of linear and median filtering of impulse noise, fluctuation, and geometric noise are implemented. The
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Kostyria, O., V. Storozhenko, and V. Naumenko. "Compensation of Multipath Interference in a Separated Passive Time and Frequency Synchronization Systems." Metrology and instruments, no. 4 (September 7, 2019): 17–23. http://dx.doi.org/10.33955/2307-2180(4)2019.17-23.

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Multipath propagation of radio waves negatively affects to the performance of telecommunications and radio navigation systems [1, 3]. When performing time and frequency synchronization tasks of spatially separated standards, the multi­path signal propagation aggravates the probabi­lity of a correct synchronization and introduces an error. The presence of a multipath signal reduces the signal-to-noise ratio in the received signal, which in turn causes an increase in the synchronization error. The mathematical models of multipath interference suppression in the time and in the frequency domain a
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BOIKO, JULIY, ILYA PYATIN, and IGOR PARKHOMEY. "SIGNAL PROCESSING AND SYNCHRONIZATION TECHNIQUE IN SOFTWARE-DEFINED RADIO SYSTEMS WITH OFDM." Herald of Khmelnytskyi National University. Technical sciences 307, no. 2 (May 2, 2022): 123–32. http://dx.doi.org/10.31891/2307-5732-2022-307-2-123-132.

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The article describes modern concepts for the development of Software-defined Radio (SDR) technology. A functional diagram of a software-defined radio station using the method of transmitting information with modulation based on Orthogonal Frequency Division Multiplexing (OFDM) is proposed. The conditions for ensuring symbol synchronization of OFDM signals are investigated. It is determined that the disruption of the orthogonality of OFDM symbols is accompanied by such phenomena as the occurrence of inter-symbol interference and inter-channel interference. The method of constellation diagrams
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Afonin, Igor L., Alexander L. Polyakov, Yury N. Tyschuk, Vladislav V. Golovin, and Gennady V. Slezkin. "Mathematical model for spacecrafts identification." Radioelectronics. Nanosystems. Information Technologies. 14, no. 2 (June 30, 2022): 111–18. http://dx.doi.org/10.17725/rensit.2022.14.111.

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Proposed below is a mathematical model for reception and processing of spurious (“uncontrolled” radiation) from constantly operating units of the special complex installed onboard a spacecraft. This model makes it possible to implement a new technique for identification of such radiation thus improving the capabilities of the space monitoring. At the same time creation of stand-alone radio systems solely for identification of the spacecrafts based on the proposed mathematic model would require significant expenses therefore it is worthwhile to add new identification hardware to the existing gr
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Heister, Sergey R., and Thai T. Nguyn. "MATHEMATICAL MODELS OF THE RADAR SIGNAL REFLECTED FROM A HELICOPTER MAIN ROTOR IN APPLICATION TO INVERSE SYNTHESIS OF ANTENNA APERTURE." Journal of the Russian Universities. Radioelectronics 22, no. 3 (July 2, 2019): 74–87. http://dx.doi.org/10.32603/1993-8985-2019-22-3-74-87.

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Introduction. The basis for solving the problem of aircraft recognition is the formation of radar portraits, reflecting the constructive features of aerial vehicles. Portraits, which are radar images of the propellers of aerial vehicles, have high informativeness. These images allow us to distinguish the number and relative position of the propeller blades, as well as the direction of its rotation. The basis for obtaining such images are mathematical models of reflected signals. Objective. The aim of this paper is to develop mathematical models of the radar signal reflected from the helicopter
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Fokin, G. "MODELING OF THE PULSE SHAPING AND MATCHED FILTERS." Telecom IT 9, no. 2 (July 28, 2021): 77–94. http://dx.doi.org/10.31854/2307-1303-2021-9-2-77-94.

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Pulse shaping filtering on transmission and matched filtering on reception are one of the main stages of digital signal processing that directly affect the noise immunity of their reception, therefore, the models, developed in this work, are of certain methodological interest, the relevance of which is confirmed by continuing in the last years trend of implementing procedures for transmitting, receiving and processing signals by means of model-based design and software-defined radio. The presented work contains scripts for the synthesis of the pulse shaping and matched filters with given chara
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Kowalczyk, Adam, Anna Szlachta, Robert Hanus, and Rafał Chorzępa. "Estimation of Conditional Expected Value for Exponentially Autocorrelated Data." Metrology and Measurement Systems 24, no. 1 (March 1, 2017): 69–78. http://dx.doi.org/10.1515/mms-2017-0005.

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AbstractAutocorrelation of signals and measurement data makes it difficult to estimate their statistical characteristics. However, the scope of usefulness of autocorrelation functions for statistical description of signal relation is narrowed down to linear processing models. The use of the conditional expected value opens new possibilities in the description of interdependence of stochastic signals for linear and non-linear models. It is described with relatively simple mathematical models with corresponding simple algorithms of their practical implementation.The paper presents a practical mo
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Pyayt, A. L., A. P. Kozionov, V. T. Kusherbaeva, I. I. Mokhov, V. V. Krzhizhanovskaya, B. J. Broekhuijsen, R. J. Meijer, and P. M. A. Sloot. "Signal analysis and anomaly detection for flood early warning systems." Journal of Hydroinformatics 16, no. 5 (March 21, 2014): 1025–43. http://dx.doi.org/10.2166/hydro.2014.067.

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We describe the detection methods and the results of anomalous conditions in dikes (earthen dams/levees) based on a simultaneous processing of several data streams originating from sensors installed in these dikes. Applied methods are especially valuable in cases where lack of information or computational resources prohibit computing the state of the dike with finite element and other mathematical models. The data-driven methods are part of the artificial intelligence (AI) component of the ‘Urbanflood’ early warning system. This AI component includes pre-processing (e.g., gap filling and measu
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Berezovska, Yu V., and V. A. Vorob'ev. "The mathematical models of historical processes." Prikladnaya diskretnaya matematika, no. 16 (June 1, 2012): 105–25. http://dx.doi.org/10.17223/20710410/16/11.

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Staines, Anthony Spiteri. "Concurrency and Petri Net Models." International Journal of Circuits, Systems and Signal Processing 16 (March 11, 2022): 852–58. http://dx.doi.org/10.46300/9106.2022.16.104.

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Concurrency is a fundamental problem and a solution applicable to different areas of computing. Given the complexities and distribution of computer systems and services, concurrency is a modern area requiring proper attention. Petri nets are formalisms based on process representation both from a mathematical view and from a graphical or drawing like view. Petri nets are used to model concurrent processes. This work deals with understanding and representing low level concurrency in Petri nets, when this is not always visible and properly noted from the graphical structure. In this study an alge
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Lainiotis, D. G., Paraskevas Papaparaskeva, and Kostas Plataniotis. "Nonlinear filtering for LIDAR signal processing." Mathematical Problems in Engineering 2, no. 5 (1996): 367–92. http://dx.doi.org/10.1155/s1024123x96000397.

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LIDAR (Laser Integrated Radar) is an engineering problem of great practical importance in environmental monitoring sciences. Signal processing for LIDAR applications involves highly nonlinear models and consequently nonlinear filtering. Optimal nonlinear filters, however, are practically unrealizable. In this paper, the Lainiotis's multi-model partitioning methodology and the related approximate but effective nonlinear filtering algorithms are reviewed and applied to LIDAR signal processing. Extensive simulation and performance evaluation of the multi-model partitioning approach and its applic
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Volosyuk, Valeriy, and Semen Zhyla. "Statistical Theory of Optimal Stochastic Signals Processing in Multichannel Aerospace Imaging Radar Systems." Computation 10, no. 12 (December 18, 2022): 224. http://dx.doi.org/10.3390/computation10120224.

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The work is devoted to solving current scientific and applied problems of the development of radar imaging methods. These developments are based on statistical theory of optimal signal processing. These developments allow researchers to create coherent high-resolution information-enriched images as well as incoherent images. These methods can be practically applied in multichannel aerospace radars through the proposed programs and algorithms. Firstly, the following models of stochastic signals at the output of multichannel registration regions of scattered electro-magnetic fields, internal noi
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Carin, Lawrence, Richard Baraniuk, Volkan Cevher, David Dunson, Michael Jordan, Guillermo Sapiro, and Michael Wakin. "Learning Low-Dimensional Signal Models." IEEE Signal Processing Magazine 28, no. 2 (March 2011): 39–51. http://dx.doi.org/10.1109/msp.2010.939733.

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Elliott, Terry, and Konstantinos Lagogiannis. "The Rise and Fall of Memory in a Model of Synaptic Integration." Neural Computation 24, no. 10 (October 2012): 2604–54. http://dx.doi.org/10.1162/neco_a_00335.

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Plasticity-inducing stimuli must typically be presented many times before synaptic plasticity is expressed, perhaps because induction signals gradually accumulate before overt strength changes occur. We consider memory dynamics in a mathematical model with synapses that integrate plasticity induction signals before expressing plasticity. We find that the memory trace initially rises before reaching a maximum and then falling. The memory signal dissociates into separate oblivescence and reminiscence components, with reminiscence initially dominating recall. In radical contrast, related but noni
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Волосюк, Валерій Костянтинович, Володимир Володимирович Павліков, Семен Сергійович Жила, Едуард Олексійович Церне, Олексій Володимирович Одокієнко, Андрій Павлович Дьомін, Андрій Михайлович Гуменний та Анатолій Владиславович Попов. "Алгоритм обробки сигналів для вертолітного широкосмугового шумового некогерентного радіовисотоміру". Aerospace technic and technology, № 2 (25 квітня 2022): 74–86. http://dx.doi.org/10.32620/aktt.2022.2.09.

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The algorithm for a helicopter or an unmanned aerial vehicle flight altitude measuring based on the processing of broadband and ultra-wideband pulsed stochastic signals has been synthesized for the first time by the maximum likelihood method. When formulating the initial data, mathematical models of the probing signal and the received observation are given, taking into account both various options for input path implementation, which impose restrictions on the observation equation form, and the geometry of the problem. When solving the problem, the statistical characteristics of the given mode
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LYAPIN, VICTOR, and MAKSIM SAMOKHVALOV. "STUDYING OF ELECTRICAL PARAMETERS OF PLANT AND SOIL OBJECTS AS ACTIVE-CAPACITIVE BIPOLAR." Elektrotekhnologii i elektrooborudovanie v APK 4, no. 41 (December 2020): 125–36. http://dx.doi.org/10.22314/2658-4859-2020-67-4-125-136.

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The key elements of the system for predicting electromagnetic damage are the electromagnetic source and the biological object. There is no complex of analytical models and programs for predicting damaging and critical conditions of electromagnetic impact on biological objects, as well as software components that implement developed mathematical models of real electromagnetic processes occurring in biological structures at different levels of the organization. (Research purpose) The research purpose is in developing a system for determining the electrical parameters of soil and biological objec
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Ferreira de Lima, Thomas, Alexander N. Tait, Armin Mehrabian, Mitchell A. Nahmias, Chaoran Huang, Hsuan-Tung Peng, Bicky A. Marquez, et al. "Primer on silicon neuromorphic photonic processors: architecture and compiler." Nanophotonics 9, no. 13 (August 10, 2020): 4055–73. http://dx.doi.org/10.1515/nanoph-2020-0172.

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AbstractMicroelectronic computers have encountered challenges in meeting all of today’s demands for information processing. Meeting these demands will require the development of unconventional computers employing alternative processing models and new device physics. Neural network models have come to dominate modern machine learning algorithms, and specialized electronic hardware has been developed to implement them more efficiently. A silicon photonic integration industry promises to bring manufacturing ecosystems normally reserved for microelectronics to photonics. Photonic devices have alre
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Hall, Peter. "On the amount of detail that can be recovered from a degraded signal." Advances in Applied Probability 19, no. 2 (June 1987): 371–95. http://dx.doi.org/10.2307/1427424.

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Motivated by applications in digital image processing, we discuss information-theoretic bounds to the amount of detail that can be recovered from a defocused, noisy signal. Mathematical models are constructed for test-pattern, defocusing and noise. Using these models, upper bounds are derived for the amount of detail that can be recovered from the degraded signal, using any method of image restoration. The bounds are used to assess the performance of the class of linear restorative procedures. Certain members of the class are shown to be optimal, in the sense that they attain the bounds, while
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Hall, Peter. "On the amount of detail that can be recovered from a degraded signal." Advances in Applied Probability 19, no. 02 (June 1987): 371–95. http://dx.doi.org/10.1017/s0001867800016591.

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Motivated by applications in digital image processing, we discuss information-theoretic bounds to the amount of detail that can be recovered from a defocused, noisy signal. Mathematical models are constructed for test-pattern, defocusing and noise. Using these models, upper bounds are derived for the amount of detail that can be recovered from the degraded signal, using any method of image restoration. The bounds are used to assess the performance of the class of linear restorative procedures. Certain members of the class are shown to be optimal, in the sense that they attain the bounds, while
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45

Tiuremnov, I. S., S. N. Ivanov, and A. S. Kraiushkin. "RESULTS OF EXPERIMENTAL STUDIES OF ACCELERATIONS OF THE DM-617 VIBRATORY ROLLER USING DIGITAL SIGNAL PROCESSING TECHNOLOGY." Russian Automobile and Highway Industry Journal 17, no. 2 (May 25, 2020): 182–95. http://dx.doi.org/10.26518/2071-7296-2020-17-2-182-195.

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Introduction. To improve the vibrating rollers in order to increase sealing capacity, reliability and vibration safety, the interaction of vibrating roller parts between each other and with compacted soil is simulated mathematically. The developed models are validated, i.e. compared with the results of experimental studies. However, the known results of experimental studies were obtained based on a relatively small list of vibrating roller models and soil types, as well as in a steady vibration mode. The paper presents the results of experimental studies, which used a vibratory drum of a rolle
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Morkun, Natalia, Iryna Zavsiehdashnia, Oleksandra Serdiuk, and Iryna Kasatkina. "Identification of models of nonlinear dynamic processes in mining on the basis of Volterra nuclei." E3S Web of Conferences 201 (2020): 01028. http://dx.doi.org/10.1051/e3sconf/202020101028.

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Solving the problem of improving efficiency of technological processes of mineral concentration is one of the essential for providing sustainability of mining enterprises. Currently, special attention is paid to optimization of technological processes in concentration of useful minerals. This approach calls for availability of high-quality data on the process, formation of corresponding databases and their subsequent processing to build adequate and efficient mathematical models of processes and systems. In order to improve quality of mathematical description of forming fractional characterist
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Zhao, Zhizhen, Jong Chul Ye, and Yoram Bresler. "Generative Models for Inverse Imaging Problems: From mathematical foundations to physics-driven applications." IEEE Signal Processing Magazine 40, no. 1 (January 2023): 148–63. http://dx.doi.org/10.1109/msp.2022.3215282.

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Nikitchuk, T. M., T. A. Vakaliuk, O. V. Andreiev, O. L. Korenivska, V. V. Osadchyi, and M. G. Medvediev. "Mathematical model of the base unit of the biotechnical system as a type of edge devices." Journal of Physics: Conference Series 2288, no. 1 (June 1, 2022): 012004. http://dx.doi.org/10.1088/1742-6596/2288/1/012004.

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Abstract The rapid development of computer biometrics over the past 2-3 decades is largely due to the development and widespread introduction into clinical practice of new methods of studying the human body health, including pulse methods. It is possible to judge changes in hemodynamic characteristics, heart rate and blood flow rate in the studied part of the body based on the parameters of the pulse wave signal. At the same time, the physical processes of formation of the pulse wave shape have not been fully studied, although the number of biophysical models of blood circulation is quite sign
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Suryakala, S. Vasanthadev, and Shanthi Prince. "Influence of data pre-processing techniques for plsr model to predict blood glucose by nir spectroscopy-=SUP=-*-=/SUP=-." Оптика и спектроскопия 130, no. 5 (2022): 773. http://dx.doi.org/10.21883/os.2022.05.52453.181-22.

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NIR diffuse reflectance spectroscopic spectra can be mathematically modelled to extract quantitative information by suitable multivariate calibration models. The analysis of spectral data becomes complex as the data is more prone to noise due to light scattering and baseline effects. These errors reduces the robustness and reliability of the developed calibration model. Hence data pre-processing becomes the most important aspect in data analysis. Different mathematical transformations are applied to remove the noise present in the data. This work focuses on the various empirical data pre-proce
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Brezgunov, Oleksandr, and Sergey Brezgunov. "Calculation of the Amplitude and Initial Phase of the Signal from Its Most "Reliable" Fragments." PHYSICS OF ATMOSPHERE AND GEOSPACE 2, no. 1 (2021): 17–24. http://dx.doi.org/10.47774/phag.02.01.2021-2.

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The idea of improving the methods of processing the received radio signals used in radio communication and radiolocation systems is considered. It is proposed to consider the radio signal as a noise-resistant code with repetition of its periods (symbols), each of which carries the same information about the value of its amplitude and initial phase. The possibility of realization of coherent reception of radio signals with amplitude or biphasic discrete modulation under the influence of powerful noise on them by their most "reliable" (suitable for calculations) fragments, determined by the valu
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