File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1109/TIT.2018.2833421
- Scopus: eid_2-s2.0-85046454163
- WOS: WOS:000435979500043
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Counterexample to the Vector Generalization of Costa’s Entropy Power Inequality, and Partial Resolution
| Title | Counterexample to the Vector Generalization of Costa’s Entropy Power Inequality, and Partial Resolution |
|---|---|
| Authors | |
| Keywords | Entropy power inequality Costa’s EPI |
| Issue Date | 2018 |
| Publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?puNumber=18 |
| Citation | IEEE Transactions on Information Theory, 2018, v. 64 n. 7, p. 5453-5454 How to Cite? |
| Abstract | We give a counterexample to the vector generalization of Costa's entropy power inequality due to Liu et al. In particular, the claimed inequality can fail if the matrix-valued parameter in the convex combination does not commute with the covariance of the additive Gaussian noise. Conversely, the inequality holds if these two matrices commute. |
| Persistent Identifier | http://hdl.handle.net/10722/258609 |
| ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 1.607 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Courtade, T | - |
| dc.contributor.author | Han, G | - |
| dc.contributor.author | Wu, Y | - |
| dc.date.accessioned | 2018-08-22T01:41:13Z | - |
| dc.date.available | 2018-08-22T01:41:13Z | - |
| dc.date.issued | 2018 | - |
| dc.identifier.citation | IEEE Transactions on Information Theory, 2018, v. 64 n. 7, p. 5453-5454 | - |
| dc.identifier.issn | 0018-9448 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/258609 | - |
| dc.description.abstract | We give a counterexample to the vector generalization of Costa's entropy power inequality due to Liu et al. In particular, the claimed inequality can fail if the matrix-valued parameter in the convex combination does not commute with the covariance of the additive Gaussian noise. Conversely, the inequality holds if these two matrices commute. | - |
| dc.language | eng | - |
| dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?puNumber=18 | - |
| dc.relation.ispartof | IEEE Transactions on Information Theory | - |
| dc.rights | IEEE Transactions on Information Theory. Copyright © IEEE. | - |
| dc.subject | Entropy power inequality | - |
| dc.subject | Costa’s EPI | - |
| dc.title | Counterexample to the Vector Generalization of Costa’s Entropy Power Inequality, and Partial Resolution | - |
| dc.type | Article | - |
| dc.identifier.email | Han, G: ghan@hku.hk | - |
| dc.identifier.authority | Han, G=rp00702 | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1109/TIT.2018.2833421 | - |
| dc.identifier.scopus | eid_2-s2.0-85046454163 | - |
| dc.identifier.hkuros | 287302 | - |
| dc.identifier.volume | 64 | - |
| dc.identifier.issue | 7 | - |
| dc.identifier.spage | 5453 | - |
| dc.identifier.epage | 5454 | - |
| dc.identifier.isi | WOS:000435979500043 | - |
| dc.publisher.place | United States | - |
| dc.identifier.issnl | 0018-9448 | - |