scholarly journals Quantized Frame Expansions with Erasures

2001 ◽  
Vol 10 (3) ◽  
pp. 203-233 ◽  
Author(s):  
Vivek K. Goyal ◽  
Jelena Kovačević ◽  
Jonathan A. Kelner
Keyword(s):  
Frame Expansions

scholarly journals Two Banach spaces of atoms for stable wavelet frame expansions

2007 ◽  
Vol 146 (1) ◽  
pp. 28-70 ◽  
Author(s):  
Hans G. Feichtinger ◽  
Wenchang Sun ◽  
Xingwei Zhou
Keyword(s):  
Banach Spaces ◽  
Wavelet Frame ◽  
Frame Expansions

Frame expansions with probabilistic erasures

2018 ◽  
Vol 72 ◽  
pp. 75-82 ◽  
Author(s):  
Dongwei Li ◽  
Jinsong Leng ◽  
Tingzhu Huang ◽  
Qing Gao
Keyword(s):  
Frame Expansions

scholarly journals Filter bank frame expansions with erasures

2002 ◽  
Vol 48 (6) ◽  
pp. 1439-1450 ◽  
Author(s):  
J. Kovacevic ◽  
P.L. Dragotti ◽  
V.K. Goyal
Keyword(s):  
Filter Bank ◽  
Frame Expansions

scholarly journals Frame expansions for Gabor multipliers

2006 ◽  
Vol 20 (1) ◽  
pp. 26-40 ◽  
Author(s):  
John J. Benedetto ◽  
Götz E. Pfander
Keyword(s):  
Frame Expansions

scholarly journals SYMMETRIC INTERPOLATORY FRAMELETS AND THEIR ERASURE RECOVERY PROPERTIES

2007 ◽  
Vol 05 (04) ◽  
pp. 541-566 ◽  
Author(s):  
OFER AMRANI ◽  
AMIR AVERBUCH ◽  
TAMIR COHEN ◽  
VALERY A. ZHELUDEV
Keyword(s):  
Transfer Functions ◽  
Error Recovery ◽  
Linear Phase ◽  
Recovery Algorithm ◽  
New Class ◽  
Rational Transfer ◽  
Expansion Coefficients ◽  
Redundant Representation ◽  
Frame Expansions ◽  
Recovery Algorithms

A new class of wavelet-type frames in signal space that uses (anti)symmetric waveforms is presented. The construction employs interpolatory filters with rational transfer functions. These filters have linear phase. They are amenable either to fast cascading or parallel recursive implementation. Robust error recovery algorithms are developed by utilizing the redundancy inherent in frame expansions. Experimental results recover images when (as much as) 60% of the expansion coefficients are either lost or corrupted. The proposed approach inflates the size of the image through framelet expansion and multilevel decomposition thus providing redundant representation of the image. Finally, the frame-based error recovery algorithm is compared with a classical coding approach.

scholarly journals Quantization of Filter Bank Frame Expansions Through Moving Horizon Optimization

2009 ◽  
Vol 57 (2) ◽  
pp. 503-515 ◽  
Author(s):  
D.E. Quevedo ◽  
H. Bolcskei ◽  
G.C. Goodwin
Keyword(s):  
Filter Bank ◽  
Frame Expansions

scholarly journals Generalized sampling: From shift-invariant to U-invariant spaces

2015 ◽  
Vol 13 (03) ◽  
pp. 303-329 ◽  
Author(s):  
H. R. Fernández-Morales ◽  
A. G. García ◽  
M. A. Hernández-Medina ◽  
M. J. Muñoz-Bouzo
Keyword(s):  
Invariant Subspaces ◽  
Invertible Operator ◽  
Continuous Group ◽  
Sampling Frame ◽  
Generalize Convolution ◽  
Time Jitter ◽  
Generalized Sampling ◽  
Frame Expansions ◽  
Invariant Spaces ◽  
Convolution Systems

The aim of this article is to derive a sampling theory in U-invariant subspaces of a separable Hilbert space ℋ where U denotes a unitary operator defined on ℋ. To this end, we use some special dual frames for L2(0, 1), and the fact that any U-invariant subspace with stable generator is the image of L2(0, 1) by means of a bounded invertible operator. The used mathematical technique mimics some previous sampling work for shift-invariant subspaces of L2(ℝ). Thus, sampling frame expansions in U-invariant spaces are obtained. In order to generalize convolution systems and deal with the time-jitter error in this new setting we consider a continuous group of unitary operators which includes the operator U.

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