scholarly journals Modulated Unit-Norm Tight Frames for Compressed Sensing

2015 ◽  
Vol 63 (15) ◽  
pp. 3974-3985 ◽  
Author(s):  
Peng Zhang ◽  
Lu Gan ◽  
Sumei Sun ◽  
Cong Ling
Keyword(s):  
Compressed Sensing ◽  
Tight Frames ◽  
Unit Norm

Construction of Incoherent Unit Norm Tight Frames With Application to Compressed Sensing

2014 ◽  
Vol 60 (4) ◽  
pp. 2319-2330 ◽  
Author(s):  
Evaggelia V. Tsiligianni ◽  
Lisimachos P. Kondi ◽  
Aggelos K. Katsaggelos
Keyword(s):  
Compressed Sensing ◽  
Tight Frames ◽  
Unit Norm

scholarly journals Tetris Tight Frames Construction via Hadamard Matrices

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
A. Abdollahi ◽  
M. Monfaredpour
Keyword(s):  
Hadamard Matrices ◽  
New Method ◽  
Tight Frames ◽  
Frame Operator ◽  
Elementary Construction ◽  
Unit Norm

We present a new method to construct unit norm tight frames by applying altered Hadamard matrices. Also we determine an elementary construction which can be used to produce a unit norm frame with prescribed spectrum of frame operator.

scholarly journals Improved RIP Conditions for Compressed Sensing with Coherent Tight Frames

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Yao Wang ◽  
Jianjun Wang
Keyword(s):  
Compressed Sensing ◽  
Sufficient Conditions ◽  
Tight Frame ◽  
Restricted Isometry Property ◽  
Tight Frames ◽  
Analysis Method

This paper establishes new sufficient conditions on the restricted isometry property (RIP) for compressed sensing with coherent tight frames. One of our main results shows that the RIP (adapted to D) condition δk+θk,k<1 guarantees the stable recovery of all signals that are nearly k-sparse in terms of a coherent tight frame D via the l1-analysis method, which improves the existing ones in the literature.

Connectivity of spaces of finite unit-norm tight frames

2015 ◽  
Author(s):  
Jameson Cahill ◽  
Dustin Mixon ◽  
Nate Strawn
Keyword(s):  
Tight Frames ◽  
Unit Norm

scholarly journals Non-convex block-sparse compressed sensing with coherent tight frames

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Xiaohu Luo ◽  
Wanzhen Yang ◽  
Jincai Ha ◽  
Xing Ai ◽  
Xishan Tian
Keyword(s):  
Compressed Sensing ◽  
Tight Frames
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