Title
The Statistical Restricted Isometry Property For Gabor Systems
Abstract
Gabor matrices are important in many different areas of timefrequency analysis like radar or communications. For applications with sparse data, the question arises whether these matrices satisfy some recovery guarantees for compressive sampling, and which generating windows yield a matrix with restricted isometric property. This paper proves the uniqueness-guaranteed statistical restricted isometric property for Gabor matrices generated by an Alltop window. In that way, we present a recovery guarantee for this deterministic measurement matrix where the number of measurements scales linearly with the sparsity of the signals.
Year
DOI
Venue
2018
10.1109/SSP.2018.8450770
2018 IEEE Statistical Signal Processing Workshop (SSP)
Keywords
Field
DocType
Deterministic compressive sampling,gabor matrices,statistical RIP
Radar,Matrix (mathematics),Algorithm,Compressed sensing,Sparse matrix,Mathematics,Restricted isometry property
Conference
ISBN
Citations 
PageRank 
978-1-5386-1572-0
1
0.36
References 
Authors
11
3
Name
Order
Citations
PageRank
Alihan Kaplan111.71
Volker Pohl25013.51
Dae Gwan Lee311.71