TY - GEN
T1 - Tractable MIMO beampattern design under constant modulus waveform constraint
AU - Aldayel, Omar
AU - Monga, Vishal
AU - Rangaswamy, Muralidhar
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/6/3
Y1 - 2016/6/3
N2 - Multiple-Input Multiple-Output (MIMO) radar system allows each antenna element to transmit a different waveform. This waveform diversity can be utilized to enhance the beampattern design, in particular effective management of radar radiation power in directions of interest. In this paper, we address the problem of designing a beampattern for Multiple-Input Multiple-Output (MIMO) radar, which in turn is determined by the transmit waveform. While unconstrained design is straightforward, a key open challenge is enforcing the constant modulus constraint on the radar waveform. Existing beampattern design methods that address constant modulus invariably lead to a stiff trade-off between analytical tractability (achieved by relaxations and approximations) and realistic design that exactly achieves constant modulus but is computationally burdensome. A new approach is proposed in our work, which involves solving the hard non-convex problem of beampattern design using a sequence of convex Equality Constrained Quadratic Programs, each of which has a closed form solution. Constant modulus is achieved at convergence, which we prove formally is possible under mild and realistic assumptions. We evaluate the proposed successive closed forms (SCF) algorithm against state of the art MIMO beampattern design techniques and show that SCF breaks the trade-off between desirable performance and the associated computation cost.
AB - Multiple-Input Multiple-Output (MIMO) radar system allows each antenna element to transmit a different waveform. This waveform diversity can be utilized to enhance the beampattern design, in particular effective management of radar radiation power in directions of interest. In this paper, we address the problem of designing a beampattern for Multiple-Input Multiple-Output (MIMO) radar, which in turn is determined by the transmit waveform. While unconstrained design is straightforward, a key open challenge is enforcing the constant modulus constraint on the radar waveform. Existing beampattern design methods that address constant modulus invariably lead to a stiff trade-off between analytical tractability (achieved by relaxations and approximations) and realistic design that exactly achieves constant modulus but is computationally burdensome. A new approach is proposed in our work, which involves solving the hard non-convex problem of beampattern design using a sequence of convex Equality Constrained Quadratic Programs, each of which has a closed form solution. Constant modulus is achieved at convergence, which we prove formally is possible under mild and realistic assumptions. We evaluate the proposed successive closed forms (SCF) algorithm against state of the art MIMO beampattern design techniques and show that SCF breaks the trade-off between desirable performance and the associated computation cost.
UR - http://www.scopus.com/inward/record.url?scp=84978194281&partnerID=8YFLogxK
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U2 - 10.1109/RADAR.2016.7485317
DO - 10.1109/RADAR.2016.7485317
M3 - Conference contribution
AN - SCOPUS:84978194281
T3 - 2016 IEEE Radar Conference, RadarConf 2016
BT - 2016 IEEE Radar Conference, RadarConf 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 IEEE Radar Conference, RadarConf 2016
Y2 - 2 May 2016 through 6 May 2016
ER -