U-invariant sampling and reconstruction in atomic spaces with multiple generators
Given a U-invariant sampling scheme on a Hilbert space H. This paper characterizes atomic
subspaces A of H such that every signal x∈ A can be reconstructed from its generalized …
subspaces A of H such that every signal x∈ A can be reconstructed from its generalized …
[PDF][PDF] Matrix-valued wavelets and multiresolution analysis
A San Antolín, RA Zalik - J. Appl. Funct. Anal, 2012 - webhome.auburn.edu
We introduce the notions of matrix–valued wavelet set and matrix–valued multiresolution
analysis (A-MMRA) associated with a fixed dilation given by an expansive linear map A …
analysis (A-MMRA) associated with a fixed dilation given by an expansive linear map A …
Cardinal interpolation with Gaussian kernels
T Hangelbroek, W Madych, F Narcowich… - Journal of Fourier …, 2012 - Springer
In this paper, interpolation by scaled multi-integer translates of Gaussian kernels is studied.
The main result establishes L p Sobolev error estimates and shows that the error is …
The main result establishes L p Sobolev error estimates and shows that the error is …
The nonexistence of shearlet scaling functions
R Houska - Applied and computational harmonic analysis, 2012 - Elsevier
Over the past five years, the directional representation system of shearlets has received
much attention and has been shown to exhibit many advantageous properties. Over this …
much attention and has been shown to exhibit many advantageous properties. Over this …
Handover self-optimization mechanism based on velocity for cellular networks
Y Yang, P Yu, W Li - 7th International Conference on …, 2012 - ieeexplore.ieee.org
Quality of Handover (QoH) is a crucially important performance indicator for cellular
networks. With the increasing requirement of users, the velocity of users should be highly …
networks. With the increasing requirement of users, the velocity of users should be highly …
Approximation of Löwdin orthogonalization to a spectrally efficient orthogonal overlapping PPM design for UWB impulse radio
In this paper we consider the design of spectrally efficient time-limited pulses for ultra-
wideband (UWB) systems using an overlapping pulse position modulation scheme. For this …
wideband (UWB) systems using an overlapping pulse position modulation scheme. For this …
[HTML][HTML] On the density order of the principal shift-invariant subspaces of L2 (Rd)
A San Antolín - Journal of Approximation Theory, 2012 - Elsevier
We give necessary and sufficient conditions on the Fourier transform of a generator function
of a principal shift-invariant subspace of L2 (Rd) providing density order α. Our starting point …
of a principal shift-invariant subspace of L2 (Rd) providing density order α. Our starting point …
Signal reconstruction in multi-windows spline-spaces using the dual system
DM Onchis - IEEE Signal Processing Letters, 2012 - ieeexplore.ieee.org
The letter presents a non-massive parallel procedure to compute the biorthogonal dual
system used for signal reconstruction in the case of spline-type spaces with multiple …
system used for signal reconstruction in the case of spline-type spaces with multiple …
An embedding theorem on reducing subspace frame multiresolution analysis
YZ Li, L Zhang - Kodai Mathematical Journal, 2012 - jstage.jst.go.jp
AN EMBEDDING THEOREM ON REDUCING SUBSPACE FRAME MULTIRESOLUTION
ANALYSIS* Yun-Zhang Li and Lin Zhang Abstract 1. Introduction An Page 1 Y.-Z. LI AND L …
ANALYSIS* Yun-Zhang Li and Lin Zhang Abstract 1. Introduction An Page 1 Y.-Z. LI AND L …
Fourier supports of scaling functions determine cardinalities of wavelets
Z Zhang - International Journal of Wavelets, Multiresolution and …, 2012 - World Scientific
It is well-known that the different kinds of multiresolution analysis (MRA) structures generate
different wavelets. In this paper, we give two uniform formulas on the number of mother …
different wavelets. In this paper, we give two uniform formulas on the number of mother …