Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Orthogonal Multiwavelet Frames in L2(Rd)
View through CrossRef
We characterize the orthogonal frames and orthogonal multiwavelet frames in L2(Rd) with matrix dilations of the form , where A is an arbitrary expanding d × d matrix with integer coefficients. Firstly, through two arbitrarily multiwavelet frames, we give a simple construction of a pair of orthogonal multiwavelet frames. Then, by using the unitary extension principle, we present an algorithm for the construction of arbitrarily many orthogonal multiwavelet tight frames. Finally, we give a general construction algorithm for orthogonal multiwavelet tight frames from a scaling function.
Title: Orthogonal Multiwavelet Frames in L2(Rd)
Description:
We characterize the orthogonal frames and orthogonal multiwavelet frames in L2(Rd) with matrix dilations of the form , where A is an arbitrary expanding d × d matrix with integer coefficients.
Firstly, through two arbitrarily multiwavelet frames, we give a simple construction of a pair of orthogonal multiwavelet frames.
Then, by using the unitary extension principle, we present an algorithm for the construction of arbitrarily many orthogonal multiwavelet tight frames.
Finally, we give a general construction algorithm for orthogonal multiwavelet tight frames from a scaling function.
Related Results
An optimal lifting multiwavelet for rotating machinery fault detection
An optimal lifting multiwavelet for rotating machinery fault detection
The vibration signals acquired from rotating machinery are often complex, and fault features are masked by background noise. Feature extraction and denoising are the key for rotati...
Optimized metrics for orthogonal combinatorial CRISPR screens
Optimized metrics for orthogonal combinatorial CRISPR screens
CRISPR screening has become a powerful technology to identify genetic dependencies with single-gene resolution. Genomic codependencies can be extracted with CRISPR perturbation scr...
Clinical, technological and economic justification of reinforcement with skeletal bases of complete removable dentures
Clinical, technological and economic justification of reinforcement with skeletal bases of complete removable dentures
The scientific article develops an algorithm for the interaction of manufacturers and consumers of frames reinforcing the bases of complete removable dentures in the large-scale he...
Regular and Irregular Sampling Theorem for Multiwavelet Subspaces
Regular and Irregular Sampling Theorem for Multiwavelet Subspaces
We study the sampling theorem for frames in multiwavelet subspaces. Firstly,
a sufficient condition under which the regular sampling theorem holds is established. Then, notice that...
New Orthogonal Transforms for Signal and Image Processing
New Orthogonal Transforms for Signal and Image Processing
In the paper, orthogonal transforms based on proposed symmetric, orthogonal matrices are created. These transforms can be considered as generalized Walsh–Hadamard Transforms. The s...
Characterizations and representations of Hilbert-Schmidt frames in Hilbert spaces
Characterizations and representations of Hilbert-Schmidt frames in Hilbert spaces
Hilbert-Schmidt frame(HS-frame) is essentially an operator-valued frame,
it is more general than g-frames, and thus, covers some generalizations
of frames. This paper addresses the...
ECG Sparsity Evaluation on a Multiwavelet Basis
ECG Sparsity Evaluation on a Multiwavelet Basis
AbstractIn this paper, an evaluation of the multiwavelet basis’ capability to represent the ECG signal sparsely was performed. The paper includes the mathematical formulation of sp...
Orthogonal labeling
Orthogonal labeling
<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span>Let ∆</span><span>G </span><span>be the ...