Searched for: subject%3A%22Eigenvalues%255C+and%255C+eigenfunctions%22
(1 - 9 of 9)
document
de Koster, P.B.J. (author), Wahls, S. (author)
We present a fast method to calculate the significantly large solitonic components of signals with large time-bandwidth products governed by the nonlinear Schrödinger equation, for which the computation typically becomes prohibitively expensive and/or numerically unstable. We partition the full signal in both frequency and time to obtain...
journal article 2023
document
Jin, J. (author), Li, Z. (author)
Empirical mode decomposition (EMD) lacks a strong theoretical support although extensively applied. We propose a theoretical framework for a succinct EMD in this work, with the assumption of invariant extrema locations for one IMF extraction. We define the envelope mean filter (EMF) and prove that the filter matrix satisfies five properties....
journal article 2023
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Yue, D. (author), Baldi, S. (author), Cao, Jinde (author), De Schutter, B.H.K. (author)
This article addresses the continuous-time distributed optimization of a strictly convex summation-separable cost function with possibly nonconvex local functions over strongly connected digraphs. Distributed optimization methods in the literature require convexity of local functions, or balanced weights, or vanishing step sizes, or algebraic...
journal article 2022
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Yue, D. (author), Baldi, S. (author), Cao, Jinde (author), Li, Qi (author), De Schutter, B.H.K. (author)
In this article, the time-varying formation and time-varying formation tracking problems are solved for linear multiagent systems over digraphs without the knowledge of the eigenvalues of the Laplacian matrix associated with the digraph. The solution to these problems relies on an approach that generalizes the directed spanning tree (DST)...
journal article 2021
document
Prins, Peter J. (author), Wahls, S. (author)
Several non-linear fluid mechanical processes, such as wave propagation in shallow water, are known to generate solitons: localized waves of translation. Solitons are often hidden in a wave packet at the beginning and only reveal themselves in the far-field. With a special signal processing technique known as the non-linear Fourier transform ...
journal article 2019
document
Chimmalgi, S. (author), Prins, Peter J. (author), Wahls, S. (author)
The nonlinear Fourier transform (NFT) has recently gained significant attention in fiber optic communications and other engineering fields. Although several numerical algorithms for computing the NFT have been published, the design of highly accurate low-complexity algorithms remains a challenge. In this paper, we present new fast forward NFT...
journal article 2019
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Morency, M.W. (author), Vorobyov, Sergiy A. (author), Leus, G.J.T. (author)
Source localization is among the most fundamental problems in statistical signal processing. Methods which rely on the orthogonality of the signal and noise subspaces, such as Pisarenko’s method, MUSIC, and root-MUSIC are some of the most widely used algorithms to solve this problem. As a common feature, these methods require both a-priori...
conference paper 2016
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Ashhab, S. (author), Niskanen, A.O. (author), Harrabi, K. (author), Nakamura, Y. (author), Picot, T. (author), De Groot, P.C. (author), Harmans, C.J.P.M. (author), Mooij, J.E. (author), Nori, F. (author)
We consider a system composed of two qubits and a high excitation energy quantum object used to mediate coupling between the qubits. We treat the entire system quantum mechanically and analyze the properties of the eigenvalues and eigenstates of the total Hamiltonian. After reproducing well known results concerning the leading term in the...
journal article 2008
document
Gillissen, J.J.J. (author), Boersma, B.J. (author), Mortensen, P.H. (author), Andersson, H.I. (author)
Fiber-induced drag reduction can be studied in great detail by means of direct numerical simulation [ J. S. Paschkewitz et al., J. Fluid Mech. 518, 281 (2004) ]. To account for the effect of the fibers, the Navier-Stokes equations are supplemented by the fiber stress tensor, which depends on the distribution function of fiber orientation angles....
journal article 2007
Searched for: subject%3A%22Eigenvalues%255C+and%255C+eigenfunctions%22
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