CONSTRUCTION FOR A CLASS OF SMOOTH TIGHT FRAMES IN L2(ℝ2)-Reference-Cited by-同舟云学术

CONSTRUCTION FOR A CLASS OF SMOOTH TIGHT FRAMES IN L2(ℝ2)

Published:2007-07 Issue:04 Volume:05 Page:613-625
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

WANG HAIHUI¹,PENG LIZHONG²

Affiliation:

1. LMIB, Department of Mathematics, Beihang University, Beijing, 100083, P. R. China

2. School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China

Abstract

We generalize the inequality |P(z)|2 + |P(-z)|2 ≤ 1 (Ref. 1) to the inequality |P(z1, z2)|2 + |P(-z1, z2)|2 + |P(z1, -z2)|2 + |P(-z1, -z2)|2 ≤ 1 in L2(ℝ2); and construct compactly supported tight frames with good symmetry and dilation matrix 2I under the condition that both the low-pass filter and high-pass filters are unknown.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691307001926

Reference8 articles.

1. Compactly Supported Tight Frames Associated with Refinable Functions

2. Affine Systems inL2(Rd): The Analysis of the Analysis Operator

3. Construction of multivariate compactly supported tight wavelet frames

4. Framelets: MRA-based constructions of wavelet frames

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