An MMSE Approach to the Secrecy Capacity of the MIMO Gaussian Wiretap Channel
This paper provides a closed-form expression for the secrecy capacity of the multiple-input multiple output (MIMO) Gaussian wiretap channel, under a power-covariance constraint. Furthermore, the paper specifies the input covariance matrix required in order to attain the capacity. The proof uses the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | EURASIP Journal on Wireless Communications and Networking |
| Online Access: | http://dx.doi.org/10.1155/2009/370970 |
| _version_ | 1818701741700415488 |
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| author | Ronit Bustin Ruoheng Liu H. Vincent Poor Shlomo Shamai (Shitz) |
| author_facet | Ronit Bustin Ruoheng Liu H. Vincent Poor Shlomo Shamai (Shitz) |
| author_sort | Ronit Bustin |
| collection | DOAJ |
| description | This paper provides a closed-form expression for the secrecy capacity of the multiple-input multiple output (MIMO) Gaussian wiretap channel, under a power-covariance constraint. Furthermore, the paper specifies the input covariance matrix required in order to attain the capacity. The proof uses the fundamental relationship between information theory and estimation theory in the Gaussian channel, relating the derivative of the mutual information to the minimum mean-square error (MMSE). The proof provides the missing intuition regarding the existence and construction of an enhanced degraded channel that does not increase the secrecy capacity. The concept of enhancement has been used in a previous proof of the problem. Furthermore, the proof presents methods that can be used in proving other MIMO problems, using this fundamental relationship. |
| first_indexed | 2024-12-17T15:25:40Z |
| format | Article |
| id | doaj.art-d102aceda9af4e7187a679c3378fc997 |
| institution | Directory Open Access Journal |
| issn | 1687-1472 1687-1499 |
| language | English |
| last_indexed | 2024-12-17T15:25:40Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | EURASIP Journal on Wireless Communications and Networking |
| spelling | doaj.art-d102aceda9af4e7187a679c3378fc9972022-12-21T21:43:18ZengSpringerOpenEURASIP Journal on Wireless Communications and Networking1687-14721687-14992009-01-01200910.1155/2009/370970An MMSE Approach to the Secrecy Capacity of the MIMO Gaussian Wiretap ChannelRonit BustinRuoheng LiuH. Vincent PoorShlomo Shamai (Shitz)This paper provides a closed-form expression for the secrecy capacity of the multiple-input multiple output (MIMO) Gaussian wiretap channel, under a power-covariance constraint. Furthermore, the paper specifies the input covariance matrix required in order to attain the capacity. The proof uses the fundamental relationship between information theory and estimation theory in the Gaussian channel, relating the derivative of the mutual information to the minimum mean-square error (MMSE). The proof provides the missing intuition regarding the existence and construction of an enhanced degraded channel that does not increase the secrecy capacity. The concept of enhancement has been used in a previous proof of the problem. Furthermore, the proof presents methods that can be used in proving other MIMO problems, using this fundamental relationship.http://dx.doi.org/10.1155/2009/370970 |
| spellingShingle | Ronit Bustin Ruoheng Liu H. Vincent Poor Shlomo Shamai (Shitz) An MMSE Approach to the Secrecy Capacity of the MIMO Gaussian Wiretap Channel EURASIP Journal on Wireless Communications and Networking |
| title | An MMSE Approach to the Secrecy Capacity of the MIMO Gaussian Wiretap Channel |
| title_full | An MMSE Approach to the Secrecy Capacity of the MIMO Gaussian Wiretap Channel |
| title_fullStr | An MMSE Approach to the Secrecy Capacity of the MIMO Gaussian Wiretap Channel |
| title_full_unstemmed | An MMSE Approach to the Secrecy Capacity of the MIMO Gaussian Wiretap Channel |
| title_short | An MMSE Approach to the Secrecy Capacity of the MIMO Gaussian Wiretap Channel |
| title_sort | mmse approach to the secrecy capacity of the mimo gaussian wiretap channel |
| url | http://dx.doi.org/10.1155/2009/370970 |
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