Results 1 - 10 of 201

Green Function and Perturbation Method for Dissipative Systems Based on Biorthogonal Basis∗

by Zhang Li, Gao Yi-bo, Wang Cheng , 2009
"... Abstract Based on the approach of biorthogonal basis, we carry out the quasinormal modes (QNMs) expansions for a class of open systems described by the wave equation with outgoing wave boundary conditions. For such a non-Hermitian system, the eigenfunction perturbation expansions and Green function ..."
Abstract - Add to MetaCart
Abstract Based on the approach of biorthogonal basis, we carry out the quasinormal modes (QNMs) expansions for a class of open systems described by the wave equation with outgoing wave boundary conditions. For such a non-Hermitian system, the eigenfunction perturbation expansions and Green function

The Lifting Scheme: A New Philosophy in Biorthogonal Wavelet Constructions

by Wim Sweldens - in Wavelet Applications in Signal and Image Processing III , 1995
"... In this paper we present the basic idea behind the lifting scheme, a new construction of biorthogonal wavelets which does not use the Fourier transform. In contrast with earlier papers we introduce lifting purely from a wavelet transform point of view and only consider the wavelet basis functions in ..."
Abstract - Cited by 200 (0 self) - Add to MetaCart
In this paper we present the basic idea behind the lifting scheme, a new construction of biorthogonal wavelets which does not use the Fourier transform. In contrast with earlier papers we introduce lifting purely from a wavelet transform point of view and only consider the wavelet basis functions

Biorthogonal Wavelet Expansions

by Wolfgang Dahmen, Charles A. Micchelli - Constr. Approx
"... This paper is concerned with developing conditions on a given finite collection of compactly supported algebraically linearly independent refinable functions that insure the existence of biorthogonal systems of refinable functions with similar properties. In particular we address the close connectio ..."
Abstract - Cited by 59 (6 self) - Add to MetaCart
This paper is concerned with developing conditions on a given finite collection of compactly supported algebraically linearly independent refinable functions that insure the existence of biorthogonal systems of refinable functions with similar properties. In particular we address the close

Biorthogonal partners and applications

by P. P. Vaidyanathan, Bojan Vrcelj, Student Member - IEEE Trans. Signal Processing , 2001
"... Abstract—Two digital filters ( ) and ( ) are said to be biorthogonal partners of each other if their cascade ( ) () satisfies the Nyquist or zero-crossing property. Biorthogonal partners arise in many different contexts such as filterbank theory, exact and least squares digital interpolation, and m ..."
Abstract - Cited by 29 (20 self) - Add to MetaCart
and FIR biorthogonal pairs and establish the connections to the Riesz basis property. We then explain how these results play a role in many of the above-mentioned applications. I.

Wavelet-Galerkin-Methods: An Adapted Biorthogonal Wavelet Basis

by Stephan Dahlke, Ilona Weinreich , 1993
"... In this paper we construct a compactly supported biorthogonal wavelet basis adapted to some simple differential operators. Moreover, we estimate the condition numbers of the corresponding stiffness matrices. ..."
Abstract - Cited by 23 (3 self) - Add to MetaCart
In this paper we construct a compactly supported biorthogonal wavelet basis adapted to some simple differential operators. Moreover, we estimate the condition numbers of the corresponding stiffness matrices.

Biorthogonal bases with local support and approximation properties

by Bishnu P. Lamichhane, Barbara, I. Wohlmuth , 2005
"... Abstract. We construct locally supported basis functions which are biorthogonal to conforming nodal finite element basis functions of degree p in one dimension. In contrast to earlier approaches, these basis functions have the same support as the nodal finite element basis functions and reproduce th ..."
Abstract - Cited by 4 (1 self) - Add to MetaCart
Abstract. We construct locally supported basis functions which are biorthogonal to conforming nodal finite element basis functions of degree p in one dimension. In contrast to earlier approaches, these basis functions have the same support as the nodal finite element basis functions and reproduce

The Generalized Lapped Biorthogonal Transform

by Trac D. Tran, Ricardo De Queiroz, Truong Q. Nguyen , 1997
"... A lattice structure based on the singular value decomposition (SVD) is introduced. The lattice can also be proven to use a minimal number of delay elements and to completely span a large class of M-channel linear phase perfect reconstruction filter bank (LPPRFB): all analysis and synthesis filters h ..."
Abstract - Cited by 12 (8 self) - Add to MetaCart
. From a block transform perspective, the new lattice represents a family of generalized lapped biorthogonal transform (GLBT) with arbitrary integer overlapping factor K. The relaxation of the orthogonal constraint allows the GLBT to have significantly different analysis and synthesis basis functions

The Levering Scheme Of Biorthogonal Wavelets

by Wei-chang Shann, Jeng-Nan Tzeng - in "Proceedings of International Wavelets Conference," Tangier , 1998
"... We present a scheme that will lever orthonormal or biorthogonal wavelets to a new system of biorthogonal wavelets. If we start with orthonormal wavelets, the raised scaling functions and wavelets are compactly supported and are differentiable. The derivatives of the raised biorthogonal scaling/wavel ..."
Abstract - Cited by 4 (2 self) - Add to MetaCart
We present a scheme that will lever orthonormal or biorthogonal wavelets to a new system of biorthogonal wavelets. If we start with orthonormal wavelets, the raised scaling functions and wavelets are compactly supported and are differentiable. The derivatives of the raised biorthogonal scaling

Biorthogonal Local Trigonometric Bases

by Kai Bittner , 2000
"... Local trigonometric bases consist of cosines and sines multiplied by smooth, well localized window functions in order to have basis functions with good time-frequency localization. On the one hand, bases in the two-overlapping setting are considered. In particular, the development of such bases from ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
Local trigonometric bases consist of cosines and sines multiplied by smooth, well localized window functions in order to have basis functions with good time-frequency localization. On the one hand, bases in the two-overlapping setting are considered. In particular, the development of such bases

New biorthogonal potential–density basis functions

by Alireza Rahmati, Mir Abbas Jalali , 2008
"... Solving Poisson’s equation is an important step in the study of self-gravitating stellar systems (Binney & Tremaine 2008). Expanding the density distribution and its conjugate potential field in terms of a complete basis ..."
Abstract - Add to MetaCart
Solving Poisson’s equation is an important step in the study of self-gravitating stellar systems (Binney & Tremaine 2008). Expanding the density distribution and its conjugate potential field in terms of a complete basis
Results 1 - 10 of 201