orthonormal basis
An Orthonormal Basis for Topic Segmentation in Tutorial Dialogue
... an orthonormal basis (Hu et al., 2003). By using a basis, each utterance is kept independent, so “inferencing” can extend over both the entire set of utterances and the linear combination of any of ...
8
Orthonormal Basis Filters for gas turbine fault diagnostics system design: A review
... Gas turbines have become the dominant technology for power generation. They can be quickly assembled and put to service. They are convenient for engine exchange during system overhaul. The emission of NOx, SOx, CO, and ...
6
Vol 2, No 9 (2011)
... an orthonormal system in W if and only if { v α + ξ λ α } ∈ I is an orthonormal system in W λ , when v α does not belong to ξ λ for each α ∈ I and for each λ ∈ Λ ...an orthonormal basis in W ...
10
Characterization of Biorthogonal Multiwavelet Packets with Arbitrary Dilation Matrix
... Recently, Yang and Cheng [20] have generalized the concept of wavelet packets to the case of multiwavelet packets associated with a dilation factor a which were more flexible in applications. Subsequently, Behera [1] ...
15
Characteristic Vectors in p/q-Channel Orthonormal Wavelet
... an orthonormal basis in V 0 ...wavelets orthonormal bases and there are many results in this case ...“an orthonormal basis” in the above definition by “a frame”, we obtain the concept ...
5
Modal beam splitter : determination of the transversal components of an electromagnetic light field
... mode basis set, ...any orthonormal basis set on the Hilbert space of the problem to analyze the quantum version of our method, but we argue that the optical eigenmodes are the most natural and ...
9
Revisiting the Gentry-Szydlo Algorithm
... Abstract. We put the Gentry-Szydlo algorithm into a mathematical framework, and show that it is part of a general theory of “lattices with symmetry”. For large ranks, there is no good algorithm that decides whether a ...
18
Vol 5, No 7 (2014)
... Let Q be the symmetric endomorphism of the tangent space at any point of the manifold corresponding to the Ricci tensor S, i.e., 𝑆𝑆(𝑋𝑋, 𝑌𝑌) = 𝑔𝑔(𝑄𝑄𝑋𝑋, 𝑌𝑌) for all vector fields 𝑋𝑋, 𝑌𝑌 and {𝑒𝑒 𝑖𝑖 } , 𝑖𝑖 = 1, 2, 3 … … . 𝑛𝑛 ...
6
Modeling of Stochastic Processes in Lp(T) Using Orthogonal Polynomials
... to orthonormal polynomial basis and select the sum of first N elements of this series to be the ...an orthonormal basis) Let X (t), t ∈ T be stochastic process of the second order, EX (t) = 0 ∀ ...
7
EXTENSION OF THE PROJECTION THEOREM ON HILBERT SPACE TO FUZZY HILBERT SPACE OVER FUZZY NUMBER SPACE
... Keywords: Fuzzy number space, fuzzy number mapping, fuzzy inner product space, fuzzy Hilbert space, fuzzy orthogonality, fuzzy orthonormality, fuzzy orthonormal basis, fuzzy complement[r] ...
6
Some versions of Anderson's and Maher's inequalities II
... Since |S| is a compact normal operator and commutes with B, there exists an orthonormal basis {fk } ∪ {gm } of H such that {fk } consists of common eigenvectors of B and |S|, and {gm } i[r] ...
18
On equivalent conditions of two sequences to be R dual
... The dilation viewpoint on frames is introduced by Larson and Han in [], which has a natural relation with the R-dual. They point out that any Parseval frame can be dilated to an orthonormal basis. But ...
8
An Explicit Algorithm for the Construction of 3-Band Wavelet Frames Based on FMRA
... FMRA is an important method to construct and character the wavelets. As noted previously, the case of M > 2 attracted more and more interest and a few relevant literatures appeared in succession [5-11, 14, 15]. ...
6
Coordinate Scaling in Time-Independent Excited-State Density Functional Theory for Coulomb Systems
... Time-independent density functional theory for degenerate excited states of Coulomb systems.. Density-determined orthonormal orbital approach to atomic energy functionals.[r] ...
6
Directional and scale-dependent statistics of quasi-static magnetohydrodynamic turbulence
... Abstract. Anisotropy and intermittency of quasi-static magnetohydrodynamic (MHD) turbulence in an imposed magnetic field are examined, using three-dimensional orthonormal wavelet analysis. Wavelets are an ...
8
A Study on Conjugate Quadrature Filters
... The paper is organized as follows. In Section 2, we provide a general method of constructing a length- J + 1 CQF with complicity r and scale a from a length- J CQF. In Section 3, as the application of Section 2, we study ...
7
Bounds for total antieigenvalue of a normal operator
... Das et al. [1] also proved the above theorem in a different form which seems to be much simpler. They used the concept of stationary vectors and the result holds even if the space is not finite dimensional for operators ...
8
A numerical study of electrohydrodynamic flow analysis in a circular cylindrical conduit using orthonormal Bernstein polynomials
... Heydari et. al [25] applied the Gram-Schmidt orthogonalization process to find orthogonal Bernstein polynomials for the solution of heat transfer of a micropolar fluid through a porous medium with radiation. Bellucci [4] ...
21
Spatial Block Codes Based on Unitary Transformations Derived from Orthonormal Polynomial Sets
... Recent work in the development of diversity transformations for wireless systems has produced a theoretical framework for space- time block codes. Such codes are beneficial in that they may be easily concatenated with ...
11
A New Denoising System for SONAR Images
... type of image structure calls for position (spatial-) varying filtering operation. Textured regions are characterized by high local variance. In order to preserve the detailed structure of such regions, the level of ...
14