scholarly journals Complete Invariance Property with respect to Homeomorphism over Frame Multiwavelet and Super-Wavelet Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Saurabh Chandra Maury
Keyword(s):  
Tight Frame ◽  
Invariance Property ◽  
Frame Wavelets ◽  
Super Frame

We discuss the complete invariance property with respect to homeomorphism (CIPH) over various sets of wavelets containing all orthonormal multiwavelets, all tight frame multiwavelets, all super-wavelets of lengthn, and all normalized tight super frame wavelets of lengthn.

scholarly journals Characterizations of Tight Frame Wavelets with Special Dilation Matrices

2010 ◽  
Vol 2010 ◽  
pp. 1-26 ◽  
Author(s):  
Huang Yongdong ◽  
Zhu Fengjuan
Keyword(s):  
Linear Space ◽  
Multiresolution Analysis ◽  
Nonnegative Integer ◽  
Tight Frame ◽  
Dilation Matrix ◽  
Low Pass ◽  
Dimension Functions ◽  
Frame Wavelets ◽  
Low Pass Filters

We study all generalized low-pass filters and tight frame wavelets with special dilation matrixM(M-TFW), whereMsatisfiesMd=2Idand generates the checkerboard lattice. Firstly, we study the pseudoscaling function, generalized low-pass filters and multiresolution analysis tight frame wavelets with dilation matrixM(MRA M-TFW), and also give some important characterizations about them. Then, we characterize all M-TFW by showing precisely their corresponding dimension functions which are nonnegative integer valued. Finally, we also show that an M-TFW arises from our MRA construction if and only if the dimension of a particular linear space is either zero or one.

Connectivity in the set of Tight Frame Wavelets (TFW)

2003 ◽  
Vol 38 (1) ◽  
pp. 75-98 ◽  
Author(s):  
Gustavo Garrigos
Keyword(s):  
Tight Frame ◽  
Frame Wavelets

The Closure of the Set of Tight Frame Wavelets

2008 ◽  
Vol 107 (1-3) ◽  
pp. 195-201 ◽  
Author(s):  
Marcin Bownik
Keyword(s):  
Tight Frame ◽  
Frame Wavelets

CONSTRUCTION OF MRA E-TIGHT FRAME WAVELETS, MULTIPLIERS AND CONNECTIVITY PROPERTIES

2011 ◽  
Vol 09 (05) ◽  
pp. 713-729 ◽  
Author(s):  
DENG-FENG LI ◽  
JUN-FANG CHENG
Keyword(s):  
Tight Frame ◽  
Dilation Matrix ◽  
The Matrix ◽  
Low Pass ◽  
Frame Wavelets ◽  
Wavelet Multipliers

A method that constructs an MRA E-tight frame wavelet by using a generalized low pass E-filter is given, and it is showed that all of MRA E-tight frame wavelets can be obtained via the method, where the dilation matrix E is the quincunx matrix or the matrix consists of (0, 1)T and (2, 0)T. Furthermore, the properties of MRA E-tight frame wavelet multipliers as well as E-pseudoscaling function multipliers and generalized low pass E-filter multipliers are characterized. In addition, as an application of these multipliers, we discuss the connectivity of the set of all MRA E-tight frame wavelets in L2(R2).

The Description and Characterization of Symmetric Frames and Gabor Frames and Applications in Material Engineering

2013 ◽  
Vol 712-715 ◽  
pp. 2458-2463
Author(s):  
Qing Jiang Chen ◽  
Xiao Ting Lei ◽  
Jian Feng Zhou
Keyword(s):  
Legendre Polynomials ◽  
Materials Science ◽  
Tight Frame ◽  
Simple Approach ◽  
Gabor Frames ◽  
Wavelet Frames ◽  
Science And Engineering ◽  
Interdisciplinary Field ◽  
Frame Wavelets

Materials science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. In this paper, we discuss a new set of symmetric tight frame wave-lets with the associated filterbanks outputs downsampled by several generators. The frames consist of several generators obtained from the lowpass filter using spectral factorization, with lowpass fil-ter via a simple approach using Legendre polynomials. The filters are feasible to be designed and offer smooth scaling functions and frame wavelets. We shall give an example to demonstrste that so -me examples of symmetric tight wavelet frames with three compactly supported real-valued sym- metric generators will be presented to illustrate the results.

Symmetric nearly shift-invariant tight frame wavelets

2005 ◽  
Vol 53 (1) ◽  
pp. 231-239 ◽  
Author(s):  
A.F. Abdelnour ◽  
I.W. Selesnick
Keyword(s):  
Tight Frame ◽  
Frame Wavelets

scholarly journals Subspaces with normalized tight frame wavelets in $\mathbb {R}$

2001 ◽  
Vol 130 (6) ◽  
pp. 1661-1667 ◽  
Author(s):  
Xingde Dai ◽  
Yuanan Diao ◽  
Qing Gu
Keyword(s):  
Tight Frame ◽  
Frame Wavelets
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