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1

Exact solutions for the total variation denoising problem of piecewise constant images in dimension one

Cristoferi Riccardo

Journal of Applied Analysis

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2021

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Vol. 27, nr 1

13--33

EN

A method for obtaining the exact solution for the total variation denoising problem of piecewise constant images in dimension one is presented. The validity of the algorithm relies on some results concerning the behavior of the solution when the parameter λ in front of the fidelity term varies. Albeit some of them are well-known in the community, here they are proved with simple techniques based on qualitative geometrical properties of the solutions.

2

A new method to reduce electromagnetic interference using signal modeling

Daneshvar Milad, Parhizgar Nasser, Oraizi Homayoon

Archives of Electrical Engineering

|

2020

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Vol. 69, nr 4

829--840

EN

Controlling and reducing the radiation emitted by various systems helps the board designer improve systems’ performance. One proposed way to achieve these goals is to use an algorithm to control the radiation applied to systems. According to the executive structure of the algorithm and considering the nature of the existing signals in several components, the separation of the signal components is on the agenda of the algorithm. In fact, the goal is to create an intuitive view of the multi-component signals around the systems that enter the systems from different angles and have a detrimental effect on their performance. Using signal processing methods, we will be able to break down the signal into different components and simulate each component separately. To prevent high computational repetitions and increase simulation time in signal component analysis, by reducing the components, we reduce the number of mesh cells in the software and, using linear approximation, determine the exact position of the radiation signal applied to systems and thus the best linear relationship. The signal entry path is used to apply the rules required for prediction design.

3

Investigation of G-networks with restart at a non-stationary mode and their application

Matalytski Mikhail, Naumenko Victor, Kopats Dmitry

Journal of Applied Mathematics and Computational Mechanics

|

2019

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Vol. 18, nr 2

41--51

EN

This article discusses the question of restarting the script, when restart is used by many users of the information network, which can be modelled as a G-network. Negative claims simulate the crash of the script and the re-sending of the request. Investigation of an open queuing network (QN) with several types of positive customers with the phase type of distribution of their service time and one type of negative customers have been carried out. Negative customers are signals whose effect is to restart one customers in a queue. A technique is proposed for finding the probability of states. It is based on the use of a modified method of successive approximations, combined with the method of a series. The successive approximations converge with time to a stationary distribution of state probabilities, the form of which is indicated in the article, and the sequence of approximations converges to the solution of the difference-differential equations (DDE) system. The uniqueness of this solution is proved. Any successive approximation is representable in the form of a convergent power series with an infinite radius of convergence, the coefficients of which satisfy recurrence relations, which is convenient for computer calculations. A model example illustrating the finding of time-dependent probabilities of network states using the proposed technique is also presented.

4

Application of acoustic signal processing methods in detecting differences between open and closed kinematic chain movement for the knee joint

Karpiński Robert, Machrowska Anna, Maciejewski Marcin

Applied Computer Science

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2019

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Vol. 15, no 1

36--48

EN

The paper presents results of preliminary research of analysis of signals recorded for open and closed kinematic chain in one volunteer with chondromalacia in both knees. The preliminary research was conducted in order to establish the accuracy of the proposed method and will be used for formulating further research areas. The aim of the paper is to show how FFT, recurrence plots and recurrence quantification analysis (RQA) can help in bioacoustic signals analysis.

5

Finding the expected revenues in Markov networks with positive and negative customers at a stationary regime

Matalytski M., Kopats D.

Journal of Applied Mathematics and Computational Mechanics

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2018

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Vol. 17, nr 1

49--60

EN

Finding the expected revenues in the queueing systems (QS) of open Markov G-networks of two types, with positive and negative customers and with positive customers and signals, has been described in the paper. A negative customer arriving to the system destroys one positive customer if at least one is available in the system, thus reducing the number of positive customers in the system by one. The signal, coming into an empty system (where there are no positive customers), does not have any impact on the network and immediately disappears from it. Otherwise, if the system is not empty, when it receives a signal, the following events can occur: the incoming signal instantly moves the positive customer from one QS into another with a certain probability, or with the other probability, the signal is triggered as a negative customer.

6

Wybrane zastosowania technologii ICT w górnictwie, czyli o Zakładzie Analityki w KGHM CUPRUM

Zimroz R., Wyłomańska A.

Cuprum : czasopismo naukowo-techniczne górnictwa rud

|

2018

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nr 4

147--157

PL

Historia Zakładu Analityki jest relatywnie krótka, ale ilustrowana wieloma ciekawymi projektami, których efekty opublikowane zostały w prestiżowych czasopismach i materiałach konferencyjnych. Dają one podstawę do stwierdzenia istotności roli zespołu i wagi osiągniętych efektów, zwłaszcza naukowych, opracowanych w często międzynarodowych zespołach. Niniejszy artykuł nie jest opisem historii Zakładu, ale przeglądem opracowanych rozwiązań i rodzajem spisu treści, zachęcającym do głębszego studiowania publikacji pracowników Zakładu. Tematyka działań naukowych jest dość zróżnicowana, ale wspólnym mianownikiem działań jest szeroko pojęta analityka danych rejestrowanych: w procesach technologicznych, maszynach, infrastrukturze wykorzystywanej w ciągu technologicznym, a nawet danych z systemu monitorowania aktywności pracownika. Elementy technologii robotycznych, prezentowane w pracy, rozważane są również w kontekście analityki danych (mobilny robot czteronożny jest platformą, zbierającą dane z inspekcji infrastruktury, sterowanie robotem do rozbijania brył ściśle zależy od tego jak dobrze rozpoznana zostanie struktura urobku na kracie itd.). Rozwój technologii ICT umożliwia pomiar w czasie rzeczywistym wielu kluczowych parametrów w procesach technologicznych. Umiejętne przetworzenie tych danych może być podstawą do wspomagania zarządzania, modelowania i optymalizacji procesów, wykrywania „wąskich gardeł” procesu, budowania nowej wiedzy o zjawiskach, poprawy efektywności wykorzystania infrastruktury, definiowania wskaźników (tzw. KPI) itd. Tendencja cyfryzacji górnictwa ma charakter globalny. Współpraca Zakładu Analityki z centralą i oddziałami grupy KGHM Polska Miedź S.A. stanowi odpowiedź na rzeczywiste potrzeby sektora, wynikające z przemian technologicznych.

EN

The history of the Department of Analytics is relatively short but illustrated with many interesting projects whose effects are published in prestigious magazines and conference materials. They give the basis for stating the importance of the team's role and the importance of obtained effects, especially scientific ones developed often in international teams. This article is not a description of the history of the Department, but a review of the solutions developed by the team and a kind of table of contents encouraging deeper study of the publication of the employees of the Department. The subject of scientific activities is quite diverse, but the common basis of activities is the broadly-defined analytics of recorded data in the following areas: technological processes, machines, infrastructure used in the technological process and even data from the employee activity monitoring system. Elements of robotic technologies presented in this work are also considered in the context of data analytics (a mobile four-legged robot is a platform collecting data from infrastructure inspections, robot control for breaking up solid pieces of copper ore depends on how well the structure/granulation of material is recognized, etc.). The development of ICT enables real-time measurement of many key parameters in technological processes. Appropriate processing of these data can be the basis for supporting management, modelling and optimization of processes, detection of process bottlenecks, building new knowledge about phenomena, improving the efficiency of infrastructure use, defining indicators (so-called KPI), etc. The trend of mining digitization is global. The cooperation between the Department Analytics and KGHM HQ and various branches is a response to the real needs of the sector resulting from technological changes.

7

The radio operator decision support system model

Mąka M., Majzner P.

Zeszyty Naukowe Akademii Morskiej w Szczecinie

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2017

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nr 52 (124)

120--127

EN

The article proposes a model of the system supporting the decision-making process relating to the radio operator on board a ship after a distress alert is received by a Digital Selective Calling (DSC) controller working on VHF channel 70. The model is aimed at the implementation into the system of radiocommunication event management. The system takes into account the existing Radio Regulations. The model makes use of Petri nets, which are elements of graph theory. The time domain is comprised in the developed graph, and the states (places) and transitions capable of autonomous functioning are separated, as are those places and transitions requiring direct operator action based on empirical knowledge.

8

Diagnostics of a common rail system using a signal analyser

Wierzbicki S., Stolarski M.

Journal of KONES

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2017

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Vol. 24, No. 3

317--324

EN

Self-ignition engines are currently used to drive lorries, agricultural and road construction machines, as well as passenger cars. Common Rail supply systems are widely used in such engines. Arguments for using these systems include the simple construction of a system as well as practically unlimited control of fuel feeding (division of a fuel dose into several portions), which allows for controlling the fuel combustion process. This facilitates optimisation of the combustion process in limiting toxic emissions, which is the main evaluation criterion for modern combustion engines. Operation of an engine with a Common Rail system is controlled by an Electronic Diesel Control (EDC), which is responsible not only for controlling the supply system, but also for the diagnostics of the whole engine. The diagnostic monitors embedded in the controller supervise the operation of the supply system, but also of the whole engine, including the systems responsible for reducing toxic emissions released to the atmosphere, in accordance with the European On Board Diagnostic (EOBD) standard. Unfortunately, despite sophisticated diagnostic functions, defects sometimes occur in vehicles with engines with a CR system, which are not signalled by EOBD systems. In such cases, an additional tool is needed to help a diagnostician to identify the cause of improper operation of an engine. This article presents several examples to describe the diagnostics of a Common Rail system using an analyser of diagnostic electric signals to detect the cause of such defects.

9

Building Energy Efficient Wireless Sensor Networks

Cherepanov A., Tyshchenko I., Popova M., Vakhnin D.

International Journal of Electronics and Telecommunications

|

2017

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Vol. 63, No. 1

45--49

EN

This article provides an overview of the existing problems in the construction of wireless sensor networks (WSN), in particular the problem of energy efficiency of the system. In many cases, the WSN is set in places where the connection to the stationary power sources is difficult or impossible. Such situations require the use of autonomous energy sources: traditional (batteries) or alternative (solar panels, wind generators, etc.). Due to limitations in the available system power there is obvious need in efficient use of available energy resources.

10

About one method of finding expected incomes in HM-queueing network with positive customers and signals

Matalytski M.

Journal of Applied Mathematics and Computational Mechanics

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2016

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Vol. 15, nr 1

87--98

EN

In the paper an open Markov HM(Howard-Matalytski)-Queueing Network (QN) with incomes, positive customers and signals (G(Gelenbe)-QN with signals) is investigated. The case is researched, when incomes from the transitions between the states of the network are random variables (RV) with given mean values. In the main part of the paper a description is given of G-network with signals and incomes, all kinds of transition probabilities and incomes from the transitions between the states of the network. The method of finding expected incomes of the researched network was proposed, which is based on using of found approximate and exact expressions for the mean values of random incomes. The variances of incomes of queueing systems (QS) was also found. A calculation example, which illustrates the differences of expected incomes of HM-networks with negative customers and QN without them and also with signals, has been given. The practical significance of these results consist of that they can be used at forecasting incomes in computer systems and networks (CSN) taking into account virus penetration into it and also at load control in such networks.

11

Classification of EEG Signals Using Quantum Neural Network and Cubic Spline

Abdul-Zahra Raheem M., AbdulRazzaq Hussein E.

International Journal of Electronics and Telecommunications

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2016

|

Vol. 62, No. 4

401--408

EN

The main aim of this paper is to propose Cubic Spline-Quantum Neural Network (CS-QNN) model for analysis and classification of Electroencephalogram (EEG) signals. Experimental data used here were taken from seven different electrodes. The work has been done in three stages, normalization of the signals, extracting the features by Cubic Spline Technique (CST) and classification using Quantum Neural Network (QNN). The simulation results showed that five types of EEG signals were classified with an average accuracy for seven electrodes that is 94.3% when training 70% of the features while with an average accuracy of 92.84% when training 50% of the features.

12

Metoda poprawy dokładności wyznaczania składowych harmonicznych w przebiegach elektrycznych

Kazała R.

Zeszyty Naukowe. Elektryka / Politechnika Łódzka

|

2015

|

z. 126

163--170

PL

W ramach pracy przedstawiono problemy związane z wyznaczaniem składowych harmonicznych za pomocą transformaty Fouriera. Przedstawiono sposoby wyznaczania tych składowych z wykorzystaniem metod optymalizacji. Zaproponowano procedurę pozwalającą na zwiększenie dokładności wyznaczania składowych harmonicznych wykorzystującą metody optymalizacji. Pokazano na przykładach korzyści wynikające z wykorzystania metod optymalizacji do wyznaczania składowych harmonicznych.

EN

The paper presents problems related to the determine of harmonic components using Fourier transform. The methods for determining these components using optimization methods. It proposes a procedure enabling to increase the accuracy of determining harmonic which uses optimization methods. The examples showing the benefits of using proposed methods for determination of the harmonic components are also presented.

13

Falkowa kompresja obrazów kolorowych

Niedziela T.

Logistyka

|

2014

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nr 4

PL

W artykule przedstawiono podstawy teoretyczne wielorozdzielczej analizy sygnałów jednowymiarowych i dwuwymiarowych (1 – D oraz 2-D). Scharakteryzowano także dekompozycję i rekonstrukcję sygnałów 2-D. Omówiono podstawowe własności falek i funkcji skalujących. Zdefiniowano transformaty funkcji dwuwymiarowej w przestrzeni aproksymacji i szczegółów. Wskazano na wysoką skuteczność falkowej kompresji obrazów kolorowych.

EN

The paper presents the theoretical basis of multiresolution signal analysis of one-dimensional and two-dimensional (1 - D and 2- D). The decomposition and reconstruction of 2-D signals were characterized. The basic properties of wavelets and scaling functions were discussed. Also transform function in the space of two-dimensional approximation and detail were defined. Author pointed to the high efficiency of wavelet compression of color images.

14

Wyznaczanie składowych harmonicznych sygnału z wykorzystaniem metod optymalizacji

Kazała R.

Elektronika : konstrukcje, technologie, zastosowania

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2014

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Vol. 55, nr 10

58-61

PL

Reprezentacja sygnałów w postaci składowych harmonicznych jest powszechnie wykorzystywana w elektronice. W celu wyznaczenia tej reprezentacji na podstawie próbek zarejestrowanych w funkcji czasu, wykorzystuje się dyskretną transformatę Fouriera lub szybką transformatę Fouriera. Przy stosowaniu tych metod występuje wiele problemów wpływających na dokładność wyznaczania wartości poszczególnych składowych. W ramach pracy przedstawiono problemy związane z wyznaczaniem składowych harmonicznych z wykorzystaniem dyskretnej i szybkiej transformaty Fouriera. Przedstawiono sposoby wyznaczania tych składowych z wykorzystaniem metod optymalizacji. Pokazano na przykładach korzyści wynikające z wykorzystania metod optymalizacji do wyznaczania składowych harmonicznych.

EN

Representation of signals in the form of harmonics is widely used in electronics. In order to determine the representation on the basis of the samples recorded in function of time, is used Discrete Fourier Transform or Fast Fourier Transform. When using these methods, there are many problems affecting the accuracy of determination of the individual components. The paper presents problems related to the determine of harmonics using discrete and fast Fourier transform. The methods for determining these components using optimization methods. The examples showing the benefits of using optimization methods for determination of the harmonic components are also presented.

15

Ograniczenie ilości danych przesyłanych w systemach elektronicznych z wykorzystaniem próbkowania nierównomiernego

Kazała R.

Elektronika : konstrukcje, technologie, zastosowania

|

2013

|

Vol. 54, nr 11

32-35

PL

Praca przedstawia wykorzystanie próbkowania nierównomiernego do rejestracji sygnałów elektrycznych o niepełnym widmie częstotliwościowym. Opisuje różne typy sygnałów spotykanych w systemach elektronicznych wykorzystywanych w elektrotechnice i przedstawia możliwości ograniczenia ilości rejestrowanych danych, przy zachowaniu pełnej informacji o sygnale. Na specjalnie dobranych przykładach pokazuje wykorzystanie opisanych metod i wyniki rekonstrukcji mierzonego sygnału. Wyniki pracy mogą być wykorzystane do ograniczenia ilości danych przesyłanych w systemach elektronicznych.

EN

The paper presents the use of non-uniform sampling to record the electrical signals with sparse frequency spectrum. Describes the different types of signals met in electronic systems used in the electrotechnics and presents the potential for reducing amount of recorded data, with full information about the registered signal. The specially selected examples showing the use of these methods and results of the reconstruction of the measured signal. Our results can be used to reduce the amount of data transmitted in electronic systems.

16

Simultaneous Measurement of the DPOAE Signal Amplitude and Phase Changes

Michalski W., Bochnia M., Dziewiszek W.

Archives of Acoustics

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2011

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Vol. 36, No. 3

499-508

EN

Although the phenomenon of otoacoustic emission has been known for nearly 30 years, it has not been fully explained yet. One kind of otoacoustic emission is distortion product of the otoacoustic emission (DPOAE). New aspects of this phenomenon are constantly discovered and attempts are made to interpret correctly the obtained results. This paper discusses a new method of measuring DPOAE signals based on double phase-sensitive detection, which makes possible a real-time measurement of the DPOAE signal amplitude and phase. The method was applied for measurements of DPOAE signals in guinea pigs. Sample records are presented and the obtained results are discussed.

17

Systemy i sygnały rozmyte

Butkiewicz B. S.

Elektronika : konstrukcje, technologie, zastosowania

|

2009

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Vol. 50, nr 8

80-83

PL

Przedstawiono prace autora z ostatnich lat, dotyczące zagadnień systemów i sygnałów rozmytych analogowych i dyskretnych, a szczególnie ich podstawy teoretyczne, nigdy nie publikowane w kraju. Podano w skrócie definicje, będące uogólnieniem definicji tradycyjnych: przestrzeni funkcji rozmytych, transformaty Fouriera dla sygnałów rozmytych, rozmytych funkcji korelacji, splotu rozmytego. Podano przykłady i szkic zastosowania tych metod do analizy obrazów.

EN

Since 20 years the author occupies with fuzzy system and fuzzy reasoning. At the beginning, the papers concerned fuzzy control [1-3], fuzzy modeling [4] and approximate reasoning [5]. Here, only a few papers are cited form more than forty, which deal with these subjects. Recently, the main interest of the author was devoted to enlarge signal theory on fuzzy signals and time invariant systems. Most important papers concerned the definition of Fourier transform of fuzzy functions [6,8,13] and Laplace transform [12], fuzzy correlation functions [7,13], fuzzy convolution [8], and generally time invariant analog and discrete fuzzy systems [11]. Many of the papers have pioneer and pathfinder character. In this paper some of newest concept are presented, because they are never published in polish. In the paper the convention is adopted fuzzy variable and fuzzy parameters are denoted by normal fonts and crisp (not fuzzy) values by italic fonts.