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Covering radius and the Restricted Isometry Property
2011 IEEE Information Theory Workshop, 2011The Restricted Isometry Property or RIP introduced by Candes and Tao requires an n × p dictionary to act as a near isometry on all k-sparse signals. This paper provides a very simple condition under which a dictionary Φ(C) obtained by exponentiating codewords from a binary linear code C satisfies the RIP with high probability.
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The Restricted Isometry Property for block diagonal matrices
2011 45th Annual Conference on Information Sciences and Systems, 2011In compressive sensing (CS), the Restricted Isometry Property (RIP) is a powerful condition on measurement operators which ensures robust recovery of sparse vectors is possible from noisy, undersampled measurements via computationally tractable algorithms.
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The Statistical Restricted Isometry Property For Gabor Systems
2018 IEEE Statistical Signal Processing Workshop (SSP), 2018Gabor 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.
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