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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Halyun Jeong Young-Han Kim |
| Copyright Year | 2009 |
| Description | Author affiliation: Dept. of ECE, UCSD, USA (Halyun Jeong; Young-Han Kim) |
| Abstract | This paper studies the question of how well a signal can be reprsented by a sparse linear combination of reference signals from an overcomplete dictionary. When the dictionary size is exponential in the dimension of signal, then the exact characterization of the optimal distortion is given as a function of the dictionary size exponent and the number of reference signals for the linear representation. Roughly speaking, every signal is sparse if the dictionary size is exponentially large, no matter how small the exponent is. Furthermore, an iterative method similar to matching pursuit that successively finds the best reference signal at each stage gives asymptotically optimal representations. This method is essentially equivalent to successive refinement for multiple descriptions and provides a simple alternative proof of the successive refinability of white Gaussian sources. |
| Starting Page | 329 |
| Ending Page | 333 |
| File Size | 605903 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781424443123 |
| DOI | 10.1109/ISIT.2009.5205585 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2009-06-28 |
| Publisher Place | South Korea |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Dictionaries Iterative methods Matching pursuit algorithms Linear approximation Rate distortion theory |
| Content Type | Text |
| Resource Type | Article |
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