TY - GEN
T1 - Unimodular MIMO radar waveform design under spectral interference constraints
AU - Alhujaili, Khaled
AU - Yu, Xianxiang
AU - Cui, Guolong
AU - Monga, Vishal
N1 - Publisher Copyright:
© 2020 IEEE
PY - 2020/4
Y1 - 2020/4
N2 - In this paper, we propose a new algorithm that designs a transmit beampattern for Multiple-Input Multiple-Output (MIMO) radar considering coexistence with other wireless systems. This design process is conducted by minimizing the deviation of the generated beampattern against an idealized one while enforcing the waveform elements to be constant modulus and in the presence of spectral restrictions, which translates to a quadratic waveform constraint. This leads to a hard nonconvex optimization problem due to simultaneous presence of the constant modulus constraint (CMC) and spectral constraint (SpecC). In this work, we employ the geometrical structure of CMC, that is we redefine this constraint as an intersection of two sets. This definition allows us to handle the design problem in more tractable way. The proposed Iterative Beampattern with Spectral design (IBS) algorithm solves a sequence of convex problems such that constant modulus is achieved at convergence. Furthermore, we show that at convergence the obtained solution satisfies the Karush-Kuhn-Tucker (KKT) conditions of the aforementioned non-convex problem. Finally, we evaluate the proposed algorithm over challenging simulated scenarios, and show that it outperforms the state of the art competing methods.
AB - In this paper, we propose a new algorithm that designs a transmit beampattern for Multiple-Input Multiple-Output (MIMO) radar considering coexistence with other wireless systems. This design process is conducted by minimizing the deviation of the generated beampattern against an idealized one while enforcing the waveform elements to be constant modulus and in the presence of spectral restrictions, which translates to a quadratic waveform constraint. This leads to a hard nonconvex optimization problem due to simultaneous presence of the constant modulus constraint (CMC) and spectral constraint (SpecC). In this work, we employ the geometrical structure of CMC, that is we redefine this constraint as an intersection of two sets. This definition allows us to handle the design problem in more tractable way. The proposed Iterative Beampattern with Spectral design (IBS) algorithm solves a sequence of convex problems such that constant modulus is achieved at convergence. Furthermore, we show that at convergence the obtained solution satisfies the Karush-Kuhn-Tucker (KKT) conditions of the aforementioned non-convex problem. Finally, we evaluate the proposed algorithm over challenging simulated scenarios, and show that it outperforms the state of the art competing methods.
UR - http://www.scopus.com/inward/record.url?scp=85090343284&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85090343284&partnerID=8YFLogxK
U2 - 10.1109/RADAR42522.2020.9114738
DO - 10.1109/RADAR42522.2020.9114738
M3 - Conference contribution
AN - SCOPUS:85090343284
T3 - 2020 IEEE International Radar Conference, RADAR 2020
SP - 157
EP - 162
BT - 2020 IEEE International Radar Conference, RADAR 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2020 IEEE International Radar Conference, RADAR 2020
Y2 - 28 April 2020 through 30 April 2020
ER -