Search results for "Matrix representation"

showing 3 items of 13 documents

Analysis of inhomogeneously filled waveguides using a bi-orthonormal-basis method

2000

A general theoretical formulation to analyze inhomogeneously filled waveguides with lossy dielectrics is presented in this paper. The wave equations for the tranverse-field components are written in terms of a nonself-adjoint linear operator and its adjoint. The eigenvectors of this pair of linear operators define a biorthonormal-basis, allowing for a matrix representation of the wave equations in the basis of an auxiliary waveguide. Thus, the problem of solving a system of differential equations is transformed into a linear matrix eigenvalue problem. This formulation is applied to rectangular waveguides loaded with an arbitrary number of dielectric slabs centered at arbitrary points. The c…

RadiationPartial differential equationBasis (linear algebra)Differential equationNumerical analysisMatrix representationMathematical analysisPhysics::OpticsCondensed Matter PhysicsLinear mapOrthonormal basisElectrical and Electronic EngineeringEigenvalues and eigenvectorsMathematicsIEEE Transactions on Microwave Theory and Techniques
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Frequency-Sliding Generalized Cross-Correlation: A Sub-Band Time Delay Estimation Approach

2020

The generalized cross correlation (GCC) is regarded as the most popular approach for estimating the time difference of arrival (TDOA) between the signals received at two sensors. Time delay estimates are obtained by maximizing the GCC output, where the direct-path delay is usually observed as a prominent peak. Moreover, GCCs play also an important role in steered response power (SRP) localization algorithms, where the SRP functional can be written as an accumulation of the GCCs computed from multiple sensor pairs. Unfortunately, the accuracy of TDOA estimates is affected by multiple factors, including noise, reverberation and signal bandwidth. In this paper, a sub-band approach for time del…

Reverberationweighted SVDAcoustics and UltrasonicsCross-correlationComputer scienceNoise (signal processing)SRP-PHATMatrix representationTime delay estimationMultilaterationComputational Mathematicssub-band processingAudio and Speech Processing (eess.AS)Temporal resolutionSingular value decompositionComputer Science (miscellaneous)FOS: Electrical engineering electronic engineering information engineeringGCCElectrical and Electronic EngineeringRepresentation (mathematics)SVDAlgorithmElectrical Engineering and Systems Science - Audio and Speech Processing
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Relations frequency hypermatrices in mutual, conditional and joint entropy-based information indices.

2012

Graph-theoretic matrix representations constitute the most popular and significant source of topological molecular descriptors (MDs). Recently, we have introduced a novel matrix representation, named the duplex relations frequency matrix, F, derived from the generalization of an incidence matrix whose row entries are connected subgraphs of a given molecular graph G. Using this matrix, a series of information indices (IFIs) were proposed. In this report, an extension of F is presented, introducing for the first time the concept of a hypermatrix in graph-theoretic chemistry. The hypermatrix representation explores the n-tuple participation frequencies of vertices in a set of connected subgrap…

Thermodynamic stateEntropyMatrix representationStatistical parameterIncidence matrixGeneral ChemistryEthylenesJoint entropyCombinatoricsComputational Mathematicschemistry.chemical_compoundMatrix (mathematics)chemistryModels ChemicalEntropy (information theory)Data MiningMolecular graphComputer SimulationMathematicsJournal of computational chemistry
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