Broadcasting Information subject to State Masking over a MIMO State Dependent Gaussian Channel

Michael Dikshtein; Anelia Somekh-Baruch; Shlomo Shamai Shitz

doi:10.1109/isit.2019.8849488

Broadcasting Information subject to State Masking over a MIMO State Dependent Gaussian Channel

Michael Dikshtein, Anelia Somekh-Baruch, Shlomo Shamai Shitz

Bar-Ilan University - The Alexander Kofkin Faculty of Engineering

Technion-Israel Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

5 Scopus citations

Abstract

The problem of channel coding over the Gaussian multiple-input multiple-output (MIMO) broadcast channel (BC) with additive independent Gaussian states is considered. The states are known in a noncausal manner to the encoder, and it wishes to minimize the amount of information that the receivers can learn from the channel outputs about the state sequence. The state leakage rate is measured as a normalized blockwise mutual information between the state sequence and the channel outputs' sequences. We employ a new version of a state-dependent extremal inequality and show that Gaussian input maximizes the state-dependent version of Marton's outer bound. Further, we show that our inner bound coincides with the outer bound. Our result generalizes previously studied scalar Gaussian BC with state and MIMO BC without the state.

Original language	English
Title of host publication	2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	275-279
Number of pages	5
ISBN (Electronic)	9781538692912
DOIs	https://doi.org/10.1109/isit.2019.8849488
State	Published - Jul 2019
Event	2019 IEEE International Symposium on Information Theory, ISIT 2019 - Paris, France Duration: 7 Jul 2019 → 12 Jul 2019

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2019-July
ISSN (Print)	2157-8095

Conference

Conference	2019 IEEE International Symposium on Information Theory, ISIT 2019
Country/Territory	France
City	Paris
Period	7/07/19 → 12/07/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

Funding

The work of M. Dikshtein and S. Shamai (Shitz) has been supported by the European Union's Horizon 2020 Research And Innovation Programme, grant agreement no. 694630. The work of A. Somekh-Baruch and S. Shamai (Shitz) was also supported by the Heron consortium via the Israel ministary of economy and science. The work of M. Dikshtein and S. Shamai (Shitz) has been supported by the European Union’s Horizon 2020 Research And Innovation Programme, grant agreement no. 694630. The work of A. Somekh-Baruch and S. Shamai (Shitz) was also supported by the Heron consortium via the Israel ministary of economy and science.

Funders	Funder number
European Union's Horizon 2020
Heron Consortium
Israel ministary of economy and science
Horizon 2020 Framework Programme	694630
Israel Institute

Keywords

Broadcast channel
Dirty paper coding
Gelf'and-Pinsker scheme
enhanced channel
entropy power inequality
extremal inequality
noncausal CSI
state masking

Access to Document

10.1109/isit.2019.8849488

Cite this

Dikshtein, M., Somekh-Baruch, A., & Shamai Shitz, S. (2019). Broadcasting Information subject to State Masking over a MIMO State Dependent Gaussian Channel. In 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings (pp. 275-279). Article 8849488 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2019-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/isit.2019.8849488

Dikshtein, Michael ; Somekh-Baruch, Anelia ; Shamai Shitz, Shlomo. / Broadcasting Information subject to State Masking over a MIMO State Dependent Gaussian Channel. 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 275-279 (IEEE International Symposium on Information Theory - Proceedings).

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abstract = "The problem of channel coding over the Gaussian multiple-input multiple-output (MIMO) broadcast channel (BC) with additive independent Gaussian states is considered. The states are known in a noncausal manner to the encoder, and it wishes to minimize the amount of information that the receivers can learn from the channel outputs about the state sequence. The state leakage rate is measured as a normalized blockwise mutual information between the state sequence and the channel outputs' sequences. We employ a new version of a state-dependent extremal inequality and show that Gaussian input maximizes the state-dependent version of Marton's outer bound. Further, we show that our inner bound coincides with the outer bound. Our result generalizes previously studied scalar Gaussian BC with state and MIMO BC without the state.",

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Dikshtein, M, Somekh-Baruch, A & Shamai Shitz, S 2019, Broadcasting Information subject to State Masking over a MIMO State Dependent Gaussian Channel. in 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings., 8849488, IEEE International Symposium on Information Theory - Proceedings, vol. 2019-July, Institute of Electrical and Electronics Engineers Inc., pp. 275-279, 2019 IEEE International Symposium on Information Theory, ISIT 2019, Paris, France, 7/07/19. https://doi.org/10.1109/isit.2019.8849488

Broadcasting Information subject to State Masking over a MIMO State Dependent Gaussian Channel. / Dikshtein, Michael; Somekh-Baruch, Anelia; Shamai Shitz, Shlomo.
2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. p. 275-279 8849488 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2019-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Dikshtein M, Somekh-Baruch A, Shamai Shitz S. Broadcasting Information subject to State Masking over a MIMO State Dependent Gaussian Channel. In 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2019. p. 275-279. 8849488. (IEEE International Symposium on Information Theory - Proceedings). doi: 10.1109/isit.2019.8849488

Broadcasting Information subject to State Masking over a MIMO State Dependent Gaussian Channel

Abstract

Publication series

Conference

Bibliographical note

Funding

Keywords

Access to Document

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