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A New Performance Measure Using k-Set Correlation for Compressed Sensing Matrices
- Issue Date
- Mar-2012
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Coherence; compressed sensing; k-set correlation; restricted isometry property (RIP); sequences
- Citation
- IEEE SIGNAL PROCESSING LETTERS, v.19, no.3, pp.143 - 146
- Journal Title
- IEEE SIGNAL PROCESSING LETTERS
- Volume
- 19
- Number
- 3
- Start Page
- 143
- End Page
- 146
- ISSN
- 1070-9908
- Abstract
- In this letter, a new performance measure for compressed sensing matrices is proposed. This new measure is based on the k-set correlation vectors whose components consist of the correlation values between two columns in the k-column submatrices of a sensing matrix. This measure is highly related to the restricted isometry property (RIP). And the proposed measure has less computational complexity than the condition number approach which is a typical approach for performance prediction with RIP check. It is shown by simulation that the proposed scheme works well as a performance measure for the compressed sensing matrices.
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