Filters
total: 373
filtered: 372
Chosen catalog filters
Search results for: SPECTRAL METHODS
-
On a comparison principle and the uniqueness of spectral flow
PublicationThe spectral flow is a well-known quantity in spectral theory that measures the variation of spectra about 0 along paths of selfadjoint Fredholm operators. The aim of this work is twofold. Firstly, we consider homotopy invariance properties of the spectral flow and establish a simple formula which comprises its classical homotopy invariance and yields a comparison theorem for the spectral flow under compact perturbations. We apply...
-
The Maslov index and the spectral flow—revisited
PublicationWe give an elementary proof of a celebrated theorem of Cappell, Lee and Miller which relates the Maslov index of a pair of paths of Lagrangian subspaces to the spectral flow of an associated path of self-adjoint first-order operators. We particularly pay attention to the continuity of the latter path of operators, where we consider the gap-metric on the set of all closed operators on a Hilbert space. Finally, we obtain from Cappell,...
-
Structural, magnetic and spectral properties of tetrahedral cobalt(II) silanethiolates: a variety of structures and manifestation of field-induced slow magnetic relaxation
PublicationBlue crystals of five heteroleptic cobalt(II) silanethiolates 1–5 have been obtained by the reaction of [Co{SSi (tBuO)3}2(NH3)]2 with aminopyridines and aminomethylpyridines at an appropriate molar ratio and their structural, spectral, thermal and magnetic properties have been established and described. All complexes 1–5 contain Co(II) ions in a tetrahedral CoN2S2 environment formed by (tBuO)3SiS− residues and pyridines and present...
-
Categorization of Wikipedia articles with spectral clustering
PublicationAbstract. The article reports application of clustering algorithms for creating hierarchical groups withinWikipedia articles.We evaluate three spectral clustering algorithms based on datasets constructed with usage ofWikipedia categories. Selected algorithm has been implemented in the system that categorize Wikipedia search results in the fly.
-
A Control Theoretical Approach to Spectral Factorization is Unstable
PublicationLocal stability analysis of a recently proposed recursive feedback-based approach to spectral factorization is performed. The method is found not to give stability guarantees. Interestingly enough, its global behavior often allows one to obtain reasonable approximations of spectral factorizations if a suitable stopping criterion is employed.
-
ANALYSIS OF EFFECTIVENESS AND COMPUTATIONAL COMPLEXITY OF TREND REMOVAL METHODS
PublicationThe paper presents a method of processing measurement data due to remove slowly varying component of the trend occurring in the recorded waveforms. Comparison of computational complexity and trend removal efficiency between some commonly used methods is presented. The impact of these procedures on probability distribution and power spectral density is shown. Effectiveness and computational complexity of these methods depend essentially...
-
Spectral splittings in the Conley index theory
Publication -
Determination of resonances by the optimized spectral approach
Publication -
Digital hearing aid with time and spectral transposition.
PublicationNastępstwem uruchomienia w Polsce, prowadzonych na szeroką skalę, badań przesiewowych słuchu jest konieczność zaoferowania pomocy osobom cierpiącym na niedosłuch poprzez leczenie i protetykę słuchu. Tymczasem, aktualnie oferowane rozwiązania aparatów słuchowych nie są w stanie sprostać niektórym specjalistycznym potrzebom aparatowania, m. in.: najmłodszych dzieci, osób pracujących w hałasie, pilotów wojskowych oraz osób korzystających...
-
Photochemical and spectral characterization of peripherally modified porphyrazines
Publication -
Language representative spectral transmittances of ethnic lexemes
Publication -
Language representative spectral transmittances of ethnic lexemes
Publication -
Frequency based criterion for distinguishing tonal and noisy spectral components
PublicationA frequency-based criterion for distinguishing tonal and noisy spectral components is proposed. For considered spectral local maximum two instantaneous frequency estimates are determined and the difference between them is used in order to verify whether component is noisy or tonal. Since one of the estimators was invented specially for this application its properties are deeply examined. The proposed criterion is applied to the...
-
Methods of trend removal in electrochemical noise data – overview
PublicationIn this paper we shall review popular methods of trend removal from electrochemical noise time records. The basic principles of operation of the six most popular methods are explained. The proposed methods are: high - pass filtering, Moving Average Removal, polynomial detrending, wavelet detrending, Empirical Mode Decomposition and Variational Mode Decomposition. Estimation of trend removal quality...
-
A novel formulation of 3D spectral element for wave propagation in reinforced concrete
PublicationThe paper deals with numerical simulations of wave propagation in reinforced concrete for damage detection purposes. A novel formulation of a 3D spectral element was proposed. The reinforcement modelled as the truss spectral element was embedded in the 3D solid spectral finite element. Numerical simulations have been conducted on cuboid concrete specimens reinforced with two steel bars. Different degradation models were considered...
-
Phase-decoupled refraction–diffraction for spectral wave models
Publication -
Improving AFM images with harmonic interference by spectral analysis
PublicationPrzedstawiono sposób usunięcia zakłóceń pojawiających się na obrazach uzyskiwanych z mikroskopu sił atomowych (AFM). Przybliżono kilka metod stosowanych do redukcji zakłóceń w obrazach. Następnie opisano zidentyfikowane zakłócenia harmoniczne oraz zaproponowany sposób ich znaczącej redukcji. W pracy zamieszczono szereg obrazów uzyskanych z mikroskopu AFM ilustrujących efekty powodowane zakłóceniami oraz skuteczność zaproponowanej...
-
Seabed characterisation using spectral moments of the echo signal
PublicationZbadano użyteczność zastosowania momentów spektralnych obwiedni echa w rozpoznawaniu i klasyfikacji dna morskiego. Przeprowadzono obliczenia momentów spektralnych dla około 15000 ech od dna zarejestrowanych w rejonie Bałtyku Południowego i potwierdzono tezę, że wartości tych momentów skorelowane są silnie z typem dna i rodzajem osadów.
-
SPECTRAL DYNAMIC ANALYSIS OF A STATIONARY JACK-UP PLATFORM
PublicationThe paper refers to the dynamic short-term response analysis of the Baltic steel drilling platform (see Fig.2) in a random sea-state represented by one-dimensional wave spectrum proposed by Striekalov and Massel and it is recommended for the Baltic Sea area. The Baltic drilling platform is a jack-up type platform for the exploration and exploitation of oil under the Baltic Sea. The analysis presented deals with the stationary...
-
Damage detection of structures using spectral element method.
PublicationW pracy przedstawion mozlwiości detekcji uszkodzeń w postaci pęknięć zmęczeniowych i delaminacji z wykorzystaniem modeli budowanych za pomocą metody spektralnych elementów skończonych.