Synthesis of a Sparse Array for Directional Modulation Signal Based on Convex Optimization

SHI Xiaopan; HONG Tao

doi:10.11999/JEIT170391

Volume 39 Issue 11

Nov. 2017

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Article Navigation > Journal of Electronics & Information Technology > 2017 > 39(11): 2563-2570

SHI Xiaopan, HONG Tao. Synthesis of a Sparse Array for Directional Modulation Signal Based on Convex Optimization[J]. Journal of Electronics & Information Technology, 2017, 39(11): 2563-2570. doi: 10.11999/JEIT170391

Citation:

SHI Xiaopan, HONG Tao. Synthesis of a Sparse Array for Directional Modulation Signal Based on Convex Optimization[J]. Journal of Electronics & Information Technology, 2017, 39(11): 2563-2570. doi: 10.11999/JEIT170391

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Synthesis of a Sparse Array for Directional Modulation Signal Based on Convex Optimization

doi: 10.11999/JEIT170391

SHI Xiaopan¹,
HONG Tao¹

Funds:

The National Natural Science Foundation of China (61302102, 61271232), The Scientific Research Foundation of the Higher Education Institutions of Jiangsu Province, China (13KJB510023), The National Science Foundation for Post- doctoral Scientists of China (2013M531390)

Received Date: 2017-04-27
Rev Recd Date: 2017-07-25
Publish Date: 2017-11-19

Abstract

Abstract

The design of Directional Modulation (DM) signal by a phased array is one of the important topics in the field of physical layer security communication. In this paper, a synthesis method for synthesis of a sparse array is proposed based on convex optimization. Firstly, a nonconvex optimization problem is formulated associated with some basic metrics of DM signal. Secondly, two different solutions are presented: one is based on Iterative Reweighted l1-norm (IRL) resulting in a superdirective array with the interelement spacing less than half-wavelength; the other is based on Mixed Integer Programming (MIP) resulting in a nonsuperdirective array with the interelement spacing more than half-wavelength. Finally, the power efficiency of DM transmitter is optimized based on MIP algorithm. Simulation results show that the proposed synthesis method provides greater flexibility of controlling the security performance, power efficiency and sparse level, while at the same time the number of excitations is less than the uniformly spaced linear array in the benchmark problems.
- Wireless communication,
- Physical layer security,
- Directional Modulation (DM),
- Convex optimization,
- Sparse array

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References(25)

References

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