Abstract
While Gaussian signalling is assumed in many studies on covert communications, its optimality has not been carefully investigated. In this work, we examine this optimality by considering the approach of upper bounding D(p 0 (y)∥p 1 (y)) as the covert communication constraint, where D(p 0 (y)∥p 1 (y)) is the Kullback-Leibler divergence from p 0 (y) to p 1 (y), p 0 (y) and p 1 (y) are the likelihood functions of the observation y at the warden under the null hypothesis (no covert transmission) and alternative hypothesis (a covert transmission occurs), respectively. Considering additive white Gaussian noise at both the receiver and the warden, we prove that Gaussian signalling is not optimal in terms of maximizing the mutual information of transmitted and received signals for covert communications with D(p 0 (y)∥p 1 (y)) ≤ 2ϵ 2 as the constraint. We also explicitly show a skew-normal signalling can outperform Gaussian signalling in terms of achieving higher mutual information subject to the same covertness constraint D(p 0 (y)∥p 1 (y)) ≤ 2ϵ 2 .
| Language | English |
|---|---|
| Title of host publication | 2019 IEEE International Conference on Communications (ICC) |
| Subtitle of host publication | proceedings |
| Place of Publication | Piscataway, NJ |
| Publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| Number of pages | 6 |
| ISBN (Electronic) | 9781538680889 |
| ISBN (Print) | 9781538680896 |
| DOIs | |
| Publication status | Published - 2019 |
| Event | 2019 IEEE International Conference on Communications, ICC 2019 - Shanghai, China Duration: 20 May 2019 → 24 May 2019 |
Publication series
| Name | |
|---|---|
| ISSN (Print) | 1550-3607 |
| ISSN (Electronic) | 1938-1883 |
Conference
| Conference | 2019 IEEE International Conference on Communications, ICC 2019 |
|---|---|
| Country | China |
| City | Shanghai |
| Period | 20/05/19 → 24/05/19 |
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Is Gaussian signalling optimal for covert communications? / Yan, Shihao; Cong, Yirui; Hanly, Stephen V.; Zhou, Xiangyun.
2019 IEEE International Conference on Communications (ICC): proceedings. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2019.Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › Research › peer-review
TY - GEN
T1 - Is Gaussian signalling optimal for covert communications?
AU - Yan, Shihao
AU - Cong, Yirui
AU - Hanly, Stephen V.
AU - Zhou, Xiangyun
PY - 2019
Y1 - 2019
N2 - While Gaussian signalling is assumed in many studies on covert communications, its optimality has not been carefully investigated. In this work, we examine this optimality by considering the approach of upper bounding D(p 0 (y)∥p 1 (y)) as the covert communication constraint, where D(p 0 (y)∥p 1 (y)) is the Kullback-Leibler divergence from p 0 (y) to p 1 (y), p 0 (y) and p 1 (y) are the likelihood functions of the observation y at the warden under the null hypothesis (no covert transmission) and alternative hypothesis (a covert transmission occurs), respectively. Considering additive white Gaussian noise at both the receiver and the warden, we prove that Gaussian signalling is not optimal in terms of maximizing the mutual information of transmitted and received signals for covert communications with D(p 0 (y)∥p 1 (y)) ≤ 2ϵ 2 as the constraint. We also explicitly show a skew-normal signalling can outperform Gaussian signalling in terms of achieving higher mutual information subject to the same covertness constraint D(p 0 (y)∥p 1 (y)) ≤ 2ϵ 2 .
AB - While Gaussian signalling is assumed in many studies on covert communications, its optimality has not been carefully investigated. In this work, we examine this optimality by considering the approach of upper bounding D(p 0 (y)∥p 1 (y)) as the covert communication constraint, where D(p 0 (y)∥p 1 (y)) is the Kullback-Leibler divergence from p 0 (y) to p 1 (y), p 0 (y) and p 1 (y) are the likelihood functions of the observation y at the warden under the null hypothesis (no covert transmission) and alternative hypothesis (a covert transmission occurs), respectively. Considering additive white Gaussian noise at both the receiver and the warden, we prove that Gaussian signalling is not optimal in terms of maximizing the mutual information of transmitted and received signals for covert communications with D(p 0 (y)∥p 1 (y)) ≤ 2ϵ 2 as the constraint. We also explicitly show a skew-normal signalling can outperform Gaussian signalling in terms of achieving higher mutual information subject to the same covertness constraint D(p 0 (y)∥p 1 (y)) ≤ 2ϵ 2 .
UR - http://www.scopus.com/inward/record.url?scp=85070233361&partnerID=8YFLogxK
U2 - 10.1109/ICC.2019.8761750
DO - 10.1109/ICC.2019.8761750
M3 - Conference proceeding contribution
SN - 9781538680896
BT - 2019 IEEE International Conference on Communications (ICC)
PB - Institute of Electrical and Electronics Engineers (IEEE)
CY - Piscataway, NJ
ER -