NDLI: Sparse signal separation in redundant dictionaries

Content Provider	IEEE Xplore Digital Library
Author	Aubel, C. Studer, C. Pope, G. Bolcskei, H.
Copyright Year	2012
Description	Author affiliation: Dept. of IT & EE, ETH Zurich, 8092 Zurich, Switzerland (Aubel, C.; Pope, G.; Bolcskei, H.) \|\| Dept. of ECE, Rice University, Houston, TX, USA (Studer, C.)
Abstract	We formulate a unified framework for the separation of signals that are sparse in “morphologically” different redundant dictionaries. This formulation incorporates the so-called “analysis” and “synthesis” approaches as special cases and contains novel hybrid setups. We find corresponding coherence-based recovery guarantees for an ℓ1-norm based separation algorithm. Our results recover those reported in Studer and Baraniuk, ACHA, submitted, for the synthesis setting, provide new recovery guarantees for the analysis setting, and form a basis for comparing performance in the analysis and synthesis settings. As an aside our findings complement the D-RIP recovery results reported in Candès et al., ACHA, 2011, for the “analysis” signal recovery problem minimizex ‖Ψx‖1 subject to ‖y − Ax‖2 ≤ ∊ by delivering corresponding coherence-based recovery results.
Starting Page	2047
Ending Page	2051
File Size	264433
Page Count	5
File Format	PDF
ISBN	9781467325806
ISSN	21578117
e-ISBN	9781467325790
e-ISBN	9781467325783
DOI	10.1109/ISIT.2012.6283720
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Vectors Dictionaries Coherence USA Councils Image restoration Educational institutions Sparse matrices
Content Type	Text
Resource Type	Article

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