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Search results for: MULTIVARIATE RATIONAL INTERPOLATION
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New semi-causal and noncausal techniques for detection of impulsive disturbances in multivariate signals with audio applications
PublicationThis paper deals with the problem of localization of impulsive disturbances in nonstationary multivariate signals. Both unidirectional and bidirectional (noncausal) detection schemes are proposed. It is shown that the strengthened pulse detection rule, which combines analysis of one-step-ahead signal prediction errors with critical evaluation of leave-one-out signal interpolation errors, allows one to noticeably improve detection results...
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Adaptive CAD-Model Construction Schemes
PublicationTwo advanced surrogate model construction techniques are discussed in this paper. The models employ radial basis function (RBF)interpolation scheme or artificial neural networks (ANN) with a new training algorithm. Adaptive sampling technique is applied withrespect to all variables. Histograms showing the quality of the models are presented. While the quality of RBF models is satisfactory, theperformance of the ANN models obtained...
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Efficient Analysis of Noise Induced in Low-Voltage Installations Placed Inside Buildings with Lightning Protection Systems
PublicationThis paper describes an efficient approach to the broadband analysis of lightning protection systems (LPSs) using the method of moments (MoM) implemented in the frequency domain. The adaptive frequency sampling (AFS) algorithm, based on a rational interpolation of the relevant observable (e.g., voltage, current, electric or magnetic field) which describes the properties of the LPS, is employed to reduce the number of samples computed...
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EVALUATION OF THE SEMIVARIOGRAM SELECTION ON THE KRIGING INTERPOLATION
PublicationThe aim of the paper is to present the possibilities of geostatistical interpolation kriging method using in the process of generating digital terrain models (DTM). The source of data is a direct measurements realized with a precision GNSS positioning kinematic measurement technique RTN. Kriging algorithm was analysed, especially in the meaning of a semivariogram every step. Theoretical semivariogram selection influence on the...
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Interpolation properties of domination parameters of a graph
PublicationAn integer-valued graph function π is an interpolating function if a set π(T(G))={π(T): T∈TT(G)} consists of consecutive integers, where TT(G) is the set of all spanning trees of a connected graph G. We consider the interpolation properties of domination related parameters.
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Convergence of rational multistep methods of of Adams-Padé type
PublicationRational generalizations of multistep schemes, where the linear stiff part of a given problem is treated by an A-stable rational approximation, have been proposed by several authors, but a reasonable convergence analysis for stiff problems has not been provided so far. In this paper we directly relate this approach to exponential multistep methods, a subclass of the increasingly popular class of exponential integrators. This natural,...
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Application of Multivariate Analysis Methods in Welding Engineering
PublicationPhenomena and processes taking place during welding are usually very complex and, for this reason, should be described using multivariate methods. The article discusses the methodological basis and selected application areas as regards the solving of welding problems using statistical multivariate methods. In addition, the article presents exemplary applications of the design of experiment, multiple regression analysis, cluster...
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Ship Evolutionary Trajectory Planning Method with Application of Polynomial Interpolation
PublicationPaper presents the application of evolutionary algorithms and polynomial interpolation in ship evolutionary trajectory planning method. Evolutionary algorithms allows to find a coIlision free trajectory in real time, while polynomial interpolation allows to model smooth trajectory which keeps continuity of velocity and acceleration values along path. Combination of this two methods allows to find trajectory, which under some assumptions,...
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A novel degree-hour method for rational design loading
PublicationCooling degree-hours (CDH) received the broadest application in evaluation of the ambient air cooling efficiency in power engineering (engine intake air cooling systems) and air conditioning. The current CDH numbers are defined as a drop in air temperature multiplied by associated time duration of performance and their summarized annual number is used to estimate the annual effect achieved due to sucked air cooling in power plants...
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On Noncausal Identification of Nonstationary Multivariate Autoregressive Processes
PublicationThe problem of identification of nonstationary multivariate autoregressive processes using noncausal local estimation schemes is considered and a new approach to joint selection of the model order and the estimation bandwidth is proposed. The new selection rule, based on evaluation of pseudoprediction errors, is compared with the previously proposed one, based on the modified Akaike’s final prediction error criterion.
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Validation of Interpolation Algorithms for Multiscale UV-VIS Imaging Using UAV Spectrometer
PublicationIn this study, we present a comparison of popular methods for the interpolation of irregular spatial data in order to determine the applicability of each algorithm for hyperspectral reflectance estimation. The algorithms were benchmarked against a very high-resolution orthoimage from an RGB camera and medium-resolution satellite imagery from Sentinel-2A. We tested five interpolation algorithms: Triangulated Irregular Network (TIN),...
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Innovative Turbine Intake Air Cooling Systems and Their Rational Designing
PublicationThe improved methodology of the engine intake air cooling system designing based on the annual effect due to cooling was developed. It involves determining the optimal value of cooling capacity, providing the minimum system sizes at maximum rate of annual effect increment, and its rational value, providing a close to maximum annual effect without system oversizing at the second maximum rate of annual effect increment within the...
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Interpolation methods in GPR tomographic imaging of linear and volume anomalies for cultural heritage diagnostics
PublicationThis paper presents results of a ground penetrating radar (GPR) survey conducted in St. Joseph’s Church in Gdańsk, Poland. The aim of the study was to produce tomographic imaging of a renovated floor as well as the objects buried under the floor to detect linear and volume inclusions. The assumed track spacing was meaningfully greater than the single signal spacing in each track, which induced the need for interpolation methods...
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Experimental Comparison of Straight Lines and Polynomial Interpolation Modeling Methods in Ship Evolutionary Trajectory Planning Problem
PublicationPaper presents the application of evolutionary algorithms and polynomial interpolation in ship evolutionary trajectory planning method and its comparison to classic approach, where trajectory is modeled by straight lines. Evolutionary algorithms are group of methods that allows\ to find a collision free trajectory in real time, while polynomial interpolation allows to model smooth trajectory, which keeps continuity of velocity...
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JOURNAL OF MULTIVARIATE ANALYSIS
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Multivariate Behavioral Research
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Rational portfolio manager - środowisko do wspomagania zarządzania przedsięwzięciami informatycznymi
PublicationW rozdziale omówiono zastosowanie aplikacji Rational Portfolio Manager, oferowanej przez firmę IBM, do zarządzania grupą przedsięwzięć informatycznych. Rozdział obejmuje 5 głównych części: w pierwszej przedstawiono charakterystykę aplikacji a w następnej omówiono szkolenia, jakim poddany był autor. W kolejnych częściach przedstawiono zastosowanie RPM w zarządzaniu pięcioma rzeczywistymi projektami, ocenę jego przydatności do zarządzania...
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On Adaptive Spectrum Estimation of Multivariate Autoregressive Locally Stationary Processes
PublicationAutoregressive modeling is a widespread parametricspectrum estimation method. It is well known that, in the caseof stationary processes with unknown order, its accuracy canbe improved by averaging models of different complexity usingsuitably chosen weights. The paper proposes an extension of thistechnique to the case of multivariate locally stationary processes.The proposed solution is based on local autoregressive...
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Usprawnienie procesu zarządzania wymaganiami w projekcie produkcyjnym na bazie metodyki Rational Unified Process
PublicationArtykuł opisuje koncepcję usprawnienia procesu zarządzania wymaganiami w informatycznym przedsięwzięciu produkcyjnym z wykorzystaniem metodyki Rational Unified Process (RUP). Jest również próbą przedstawienia doświadczeń z przedsięwzięcia wdrożeniowego obejmującego automatyzację tej koncepcji z wykorzystaniem technologii IBM Rational Software i Oracle. Artykuł podkreśla krytyczną rolę mentoringu oraz efektywnego transferu wiedzy...
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Asymptotic formulas for the error in linear interpolation
PublicationWyznaczono asymptotyczny wzór dla błędu w liniowej interpolacji z dowolnymi węzłami.
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Application of multivariate statistics in assessment of green analytical chemistry parameters of analytical methodologies
PublicationThe study offers a multivariate statistical analysis of a dataset, including the major metrological, “greenness” and methodological parameters of 43 analytical methodologies applied for aldrin determination (a frequently analyzed organic compound) in water samples. The variables (parameters) chosen were as follows: metrological (LOD, recovery, RSD), describing the “greenness” (amount of the solvent used, amount of waste generated)...
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Multivariate analysis of impedance data obtained for coating systems of varying thickness applied on steel
PublicationElectrochemical impedance spectroscopy (EIS) has proven to be a valuable test method for the electrochemical characterization of protective coatings on metals. The common way of analysis in impedance spectroscopy is to model the impedance spectrum by means of an equivalent circuit and to extract the quantity of interest using optimization techniques. A model, corresponding to the behavior of the sample under testing, is important...
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RSS-Based DoA Estimation Using ESPAR Antenna Radiation Patterns Spline Interpolation
PublicationIn this paper, it is shown how power pattern crosscorrelation (PPCC) algorithm, which relies on received signal strength (RSS) values recorded at electronically steerable parasitic array radiator (ESPAR) antenna output port, used for direction-of-arrival (DoA) estimation, can easily be improved by applying spline interpolation to radiation patterns recorded in the calibration phase of the DoA estimation process. The proposed method...
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Ocena narzędzi wspomagających zarządzanie przedsięwzięciami informatycznymi na przykładzie IBM Rational Method Composer
PublicationRozdział przedstawia zalety i wady oprogramowania wspomagającego zarządzanie przedsięwzięciami informatycznymi. Skupia się na ocenie technologii informatycznej spopularyzowanej na rynku przez firmę IBM jako Rational Method Composer. W rozdziale zostały zaproponowane kryteria oceny z punktu widzenia menedżera zarządzającego przedsięwzięciem oraz oceny w zależności od stopnia spełnienia tego kryterium. Ponadto przeprowadzona została...
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On adaptive covariance and spectrum estimation of locally stationary multivariate processes
PublicationWhen estimating the correlation/spectral structure of a locally stationary process, one has to make two important decisions. First, one should choose the so-called estimation bandwidth, inversely proportional to the effective width of the local analysis window, in the way that complies with the degree of signal nonstationarity. Too small bandwidth may result in an excessive estimation bias, while too large bandwidth may cause excessive...
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Regularized Local Multivariate Reduced-Order Models With Nonaffine Parameter Dependence
PublicationThis paper addresses a singular problem, not yet discussed in the literature, which occurs when parametric reduced-order models are created using a subspace projection approach with multiple concatenated projection bases. We show that this technique may lead to the appearance of localized artifacts in the frequency characteristics of a system, even when the reduced-order projection basis is rich enough to describe the original...
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Novel Interpolation Method of Multi-DFT-Bins for Frequency Estimation of Signal with Parameter Step Change
PublicationThe IpDFT(Interpolation Discrete Fourier Trans-form) method is one of the most commonly used non-parametric methods. However, when a parameter (frequency, amplitude or phase) step changes in the DFT period, the DFT coefficients will be distorted seriously, resulting in the large estimation error of the IpDFT method. Hence, it is a key challenge to find an IpDFT method, which not only can eliminate the effect of the step-changed...
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Application of Analytic Signal and Smooth Interpolation in Pulse Width Modulation for Conventional Matrix Converters
PublicationThe paper proposes an alternative and novel approach to the PWM duty cycles computation for Conventional Matrix Converters (CMC) fed by balanced, unbalanced or non–sinusoidal AC voltage sources. The presented solution simplifies the prototyping of direct modulation algorithms. PWM duty cycles are calculated faster by the smooth interpolation technique, using only vector coordinates, without trigonometric functions and angles. Both...
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Wow defect reduction based on interpolation techniques
PublicationW artykule przedstawiono wyniki badania różnych technik interpolacji wykorzystanych w redukcji kołysania dźwięku. W badaniach użyto: interpolację liniową, techniki interpolacji wielomianowej, i interpolację funkcją sink. Jakość rekonstrukcji zbadano wykorzystując sztucznie spreparowany sygnał foniczny, zrekonstruowany wymienionymi metodami interpolacji. Jakość rekonstrukcji oceniono wykorzystując standardowe deskryptory jakości...
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Rational method of grit chamber efficiency determination
PublicationAlthough grot chambers are designed with utmost care, they still remain difficuly to control. As concentration of grit is non-uniform, representative measurements of the sand concentration is a very complex issue. In the paper the results of measure,ents performed at WTP in Gdańsk and Gdynia were analyzed. The proposed method to determine grit chambers efficiency is based on comparison of suspension flow in the inlet and flux of...
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Wow defect reduction based on interpolation techniques
PublicationW referacie przedstawiono wyniki badania różnych technik interpolacji wykorzystanych w redukcji kołysania dźwięku. W badaniach użyto: interpolację liniową, dwie techniki interpolacji wielomianowej (Hermite i spline), i technikę sumowania okienkowanych funkcji sink. Jakość rekonstrukcji wykonano wykorzystując sztucznie spreparowany sygnał audio, rekonstruowany wymienionymi metodami interpolacji. Jakość rekonstrukcji oceniono wykorzystując...
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Accelerated design optimization of miniaturized microwave passives by design reusing and Kriging interpolation surrogates
PublicationElectromagnetic (EM) analysis has become ubiquitous in the design of microwave components and systems. One of the reasons is the increasing topological complexity of the circuits. Their reliable evaluation—at least at the design closure stage—can no longer be carried out using analytical or equivalent network representations. This is especially pertinent to miniaturized structures, where considerable EM cross-coupling effects occurring...
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Classification and fingerprinting of kiwi and pomelo fruits by multivariate analysis of chromatographic and spectroscopic data
PublicationThe fingerprinting capacity of two analytical techniques, HPLC and UV-Vis spectroscopy in the case of fruits samples (kiwi and pomelo) has been investigated. The multivariate exploratory techniques were used for sample discrimination according to the fruit species and subspecies. The combination of principal component analysis with linear discriminant analysis is opening new directions in the fingerprinting analysis. The classifications...
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Digital measurement of frequency with linear interpolation in dynamic states
PublicationPrzedstawiono metody rejestracji częstotliwości sygnałów impulsowych. Zastosowanie interpolacji pozwala na uzyskanie wyniku dla dowolnej chwili. Opisano pracę w trybie on-line i off-line.
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Rational determination of dynamic characteristics of fluid-flow Reactors
PublicationPodstawowa charakterystykę reaktorów stanowi krzywa rozkładu czasu zatrzymania. Jej dokładne wyznaczenie jest trudne i kosztowne. W pracy zaproponowano wykorzystanie metody aproksymacyjnej, polegającej na zastąpieniu rzeczywistej funkcji przez jej przebieg uproszczony. Zaproponowano aproksymację rozkładem trójkątnym. Na konkretnym przykładzie pokazano, że metoda ta daje lepsze wyniki niż powszechnie stosowany model przepływu tłokowego.
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Rational multistep methods via modified φj-functions
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Convergence of rational multistep methods of Adams-Padé type
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Simple and accurate field interpolation in finite difference methods
PublicationW artykule wprowadzono nową metodę interpolacji pól w metodzie różnic skończonych. Metoda jest prosta i daje wyniki bardziej dokładne niż w przypadku interpolacji liniowej. Proponowana metoda interpolacji może zostać użyta do poprawienia dokładności takich metod, jak subgridding.
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Active Control of Highly Autocorrelated Machinery Noise in Multivariate Nonminimum Phase Systems
PublicationIn this paper, a novel multivariate active noise control scheme, designed to attenuate disturbances with high autocorrelation characteristics and preserve background signals, is proposed. The algorithm belongs to the class of feedback controllers and, unlike the popular feedforward FX-LMS approach, does not require availability of a reference signal. The proposed approach draws its inspiration from the iterative learning control...
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Lattice filter based multivariate autoregressive spectral estimation with joint model order and estimation bandwidth adaptation
PublicationThe problem of parametric, autoregressive model based estimation of a time-varying spectral density function of a multivariate nonstationary process is considered. It is shown that estimation results can be considerably improved if identification of the autoregressive model is carried out using the two-sided doubly exponentially weighted lattice algorithm which combines results yielded by two one-sided lattice algorithms running...
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ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
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Box-spline histograms for multivariate density estimation
PublicationW pracy podano ujednoliconą konstrukcję estymatora pochodnych gęstości oraz stałych asymptotycznych dla tej gęstości. Posłużono się histogramami box-splinowymi. Skorzystano z twierdzeń asymptotycznych dla operatorów związanych z tymi estymatorami.
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Multivariate Statistical Approach for Nephrines in Womenwith Obesity
PublicationCatecholamines are physiological regulators of carbohydrate and lipid metabolism during stress, but their chronic influence on metabolic changes in obese patients is still not clarified. The present study aimed to establish the associations between the catecholamine metabolites and metabolic syndrome (MS) components in obese women as well as to reveal the possible hidden subgroups of patients through hierarchical cluster analysis...
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Multivariate assessment of anticancer oleanane triterpenoids lipophilicity
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Interpolation of complex dynamic trajectory for hand-written signature verification
PublicationRożważono problem interpolacji trajektorii jedno-grafelowego podpisu odręcznego do rozpoznawania i weryfikacji podpisu złożonego za pomocą tabletu. Przedyskutowano użyteczność interpolacji celem unifikacji podpisu, dla potrzeb porównania aktualnie złożonego podpisu ze wzorcem zapisanym w bazie. Wykorzystano różne reprezentacje trajektorii. Opracowano system decyzyjny wykorzystujący filtr dopasowany. Pracę zilustrowano przykładami...
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Simple adaptive cubic spline interpolation of fluorescence decay functions
PublicationZaproponowano prostą metodę interpolacji funkcji zaniku fluorescencji. W pierwszym kroku interpolowany zanik jest całkowany za pomocą adaptacyjnego algorytmu wykorzystującego kwadratury Newtona-Cotesa. Uzyskiwana w ten spoób siatka wartości czasu jest używana w drugim kroku polegającym na typowej interpolacji za pomocą funkcji sklejanych trzeciego stopnia.
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Rational Use of Primary Energy in Single-Family Residential Houses
PublicationThis work presents results of the primary energy use for heating residential single-family house. Analysis includes domestic hot water system (DHW) and heating, ventilation and air condition system (HVAC). During researches the conventional and alternative energy sources (natural gas, biomass, fuel oil, bituminous coal, lignite or electric energy obtained from electric power system – EPS) were used in DHW and HVAC systems. Furthermore...
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Towards Rational Biosurfactant Design—Predicting Solubilization in Rhamnolipid Solutions
PublicationThe efficiency of micellar solubilization is dictated inter alia by the properties of the solubilizate, the type of surfactant, and environmental conditions of the process. We, therefore, hypothesized that using the descriptors of the aforementioned features we can predict the solubilization efficiency, expressed as molar solubilization ratio (MSR). In other words, we aimed at creating a model to find the optimal surfactant and...
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Self-assembly of vertically oriented graphene nanostructures: multivariate characterisation by Minkowski functionals and fractal geometry
PublicationThe enormous self-assembly potential that graphene and its derived layered materials offer for responding to the contemporary environmental challenges has made it one of the most investigated materials. Hence, tuning its extraordinary properties and understanding the effect at all scales is crucial to tailoring highly customised electrodes. Vertically oriented graphene nanostructures, also known as carbon nanowalls (CNWs), due...
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Multivariate Statistical Analysis for Mutual Dependence Assessment of Selected Polyphenols, Organic Acids and Metals in Cool-Climate Wines
PublicationPolyphenols, organic acids and metal ions are an important group of compounds that affect the human health and quality of food and beverage products, including wines. It is known that a specific correlation between these groups exist. While wines coming from the New World and the Old World countries are extensively studied, wines coming from cool-climate countries are rarely discussed in the literature. One of the goals of this...