Results 221 to 230 of about 153,226 (252)
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Multidimensional harmonic inversion by filter-diagonalization
The Journal of Chemical Physics, 1998We present a new method for harmonic inversion in multi-dimensions, i.e., extracting the wave vectors ωk and amplitudes dk from a signal cn=∑kdke−inωk, where n defines the multi-index. The method is an extension of the filter-diagonalization method for 1D signals.
Vladimir A. Mandelshtam +1 more
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Hall–Littlewood Operators in the Theory of Parking Functions and Diagonal Harmonics
International Mathematics Research Notices, 2011Summary: In a recent work, \textit{J. Haglund}, \textit{J. Morse}, and \textit{M. Zabrocki} [``Dyck paths with forced and forbidden touch points and \(q,t\) Catalan buildings blocks'' (2010; \url{arXiv:1008.0828v}] proved a variety of identities involving Hall-Littlewood symmetric functions indexed by compositions.
Garsia, A. M., Xin, G., Zabrocki, M.
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International Journal of Quantum Chemistry, 1979
AbstractThe effective utilization of hypervirial relations is scrutinized to improve the approximate excited‐state functions in the harmonic oscillator system. A new method is presented which simultaneously employs the off‐diagonal hypervirial relations with the diagonal hypervirial relation.
Kazuyoshi Sakamoto, Toshitaka Terasaka
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AbstractThe effective utilization of hypervirial relations is scrutinized to improve the approximate excited‐state functions in the harmonic oscillator system. A new method is presented which simultaneously employs the off‐diagonal hypervirial relations with the diagonal hypervirial relation.
Kazuyoshi Sakamoto, Toshitaka Terasaka
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IEEE/ACM Transactions on Audio, Speech, and Language Processing, 2020
Spherical microphone arrays allow the sound field analysis in three dimensions with the advantage of having the same resolution in all directions. By considering the frequency-independent character of the steering vectors in the spherical harmonic (SH) domain, we propose a very low-complexity SH diagonal unloading (DU) beamforming with a novel ...
Salvati D., Drioli C., Foresti G. L.
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Spherical microphone arrays allow the sound field analysis in three dimensions with the advantage of having the same resolution in all directions. By considering the frequency-independent character of the steering vectors in the spherical harmonic (SH) domain, we propose a very low-complexity SH diagonal unloading (DU) beamforming with a novel ...
Salvati D., Drioli C., Foresti G. L.
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The harmonic means of diagonals of doubly-stochastic matrices
Linear and Multilinear Algebra, 1983It is shown that every doubly-stochastic n × n matrix with precisely r positive elements possesses a positive diagonal whose harmonic mean is at least equal to n/r.
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Rooting versus joint diagonalization in 2-D harmonic retrieval
Processing Workshop Proceedings, 2004 Sensor Array and Multichannel Signal, 2005We address the problem of estimating the harmonics of a two-dimensional exponential mixture. A new algorithms that exploits the multiple-invariance structure is proposed. Unlike previous ESPRIT type methods for two- or multi-dimensional harmonic estimation that are based on joint diagonalization the new algorithm uses polynomial rooting to efficiently ...
M. Pesavento, J.E. Bohme
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STUDY OF A RELATIVISTIC QUANTUM HARMONIC OSCILLATOR BY THE METHOD OF STATE-DEPENDENT DIAGONALIZATION
International Journal of Modern Physics C, 1996We apply the method of State-dependent Diagonalization to study the eigenstates of the relativistic quantum harmonic oscillator in the low relativistic limit. The relativistic corrections of the energy eigenvalues of the quantum harmonic oscillator are evaluated for different values of the relativistic parameter α ≡ ħω0 / m0c2. Unlike the conventional
H. C. LEE, K. L. LIU, C. F. LO
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On the diagonalization of the general quadratic Hamiltonian for coupled harmonic oscillators
Journal of Mathematical Physics, 1979It is shown that the general quadratic Hamiltonian for coupled harmonic oscillators can be diagonalized, provided the matrix of the quadratic form is positive definite. This condition is also necessary if the frequencies of the resulting uncoupled oscillators are to be positive.
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Periodic Unsteady Flow Analysis Using a Diagonally Implicit Harmonic Balance Method
20th AIAA Computational Fluid Dynamics Conference, 2011An implicit harmonic balance method is applied to periodic unsteady flow problems. Diagonal terms of the harmonic source vector are treated implicitly and easily implemented on a diagonalized implicit solver that is very similar to a flow solver. The multi-grid performance and solution convergence of the present implicit harmonic balance method are ...
Im, DK Im, Dong-Kyun +2 more
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ON HARMONIC INVERSION OF CROSS-CORRELATION FUNCTIONS BY THE FILTER DIAGONALIZATION METHOD
Journal of Theoretical and Computational Chemistry, 2003Harmonic inversion of Chebyshev correlation and cross-correlation functions by the filter diagonalization method (FDM) is one of the most efficient ways to accurately compute the complex spectra of low dimensional quantum molecular systems. This explains the growing popularity of the FDM in the past several years.
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