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Biorthogonal system

About: Biorthogonal system is a research topic. Over the lifetime, 2190 publications have been published within this topic receiving 32209 citations.


Papers
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Proceedings ArticleDOI
18 Jul 2010
TL;DR: In this paper, the authors proposed a method to design linear phase biorthogonal wavelets with the time-frequency localization as the optimality criterion, improving on the previous designs on the same theme.
Abstract: The time-frequency product of any function in L 2 (R) is bounded by the uncertainty principle. This paper presents a method to design linear phase biorthogonal wavelets with the time-frequency localization as the optimality criterion, improving on the previous designs on the same theme. The design philosophy is to optimize the time-frequency product of the wavelet, after fixing the number of vanishing moments of the analysis and synthesis lowpass filters of the corresponding filter bank. The regularity of the discrete filters has also been evaluated.

33 citations

Journal ArticleDOI
TL;DR: In this paper, the authors characterize all totally interpolating biorthogonal finite impulse response (FIR) multifilter banks of multiplicity two and provide a design framework for corresponding compactly supported multi-wavelet systems with high approximation order.

32 citations

Journal ArticleDOI
TL;DR: In this article, the orthogonal decomposition of spatially and temporally distributed signals in fluid-structure interaction problems has been studied and adapted to wall-pressure distribution, with emphasis on aerodynamic load decomposition.

32 citations

Journal ArticleDOI
TL;DR: In this paper, the local chirality of near zero eigenvectors from the Wilson-Dirac and clover improved WDF lattice operators has been investigated and repaired for the loss of orthogonality due to the non-normality of the WDF matrix.
Abstract: We consider the local chirality of near-zero eigenvectors from Wilson- Dirac and clover improved Wilson-Dirac lattice operators as proposed recently by Horvath et al. We studied finer lattices and repaired for the loss of orthogonality due to the non-normality of the Wilson-Dirac matrix. As a result we do see a clear double peak structure on lattices with resolutions higher than 0.1 fm. We found that the lattice artifacts can be considerably reduced by exploiting the biorthogonal system of left and right eigenvectors. We conclude that the dominance of in- stantons on topological charge fluctuations is not ruled out by local chirality measurements.

32 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20241
202329
2022105
202155
202058
201960