Algorithm

Control (management)

MIMO

Discrete mathematics

Waveform

Telecommunications

Computer science

Mathematical optimization

Beamforming

Orthogonality

Mathematics

Artificial intelligence

Geometry

Unimodular matrix

Control theory (sociology)

Radar

IEEE Transactions on Aerospace and Electronic Systems

Designing unimodular waveforms with a desired beampattern, spectral occupancy and orthogonality level is of vital importance in the next generation Multiple-Input Multiple-Output (MIMO) radar systems. Motivated by this fact, in this paper, we propose a framework for shaping the beampattern in MIMO radar systems under the constraints simultaneously ensuring unimodularity, desired spectral occupancy and orthogonality of the designed waveform. In this manner, the proposed framework is the most comprehensive approach for MIMO radar waveform design focusing on beampattern shaping. The problem formulation leads to a non-convex quadratic fractional programming. We propose an effective iterative to solve the problem, where each iteration is composed of a Semi-Definite Programming (SDP) followed by eigenvalue decomposition. Some numerical simulations are provided to illustrate the superior performance of our proposed over the state-of-the-art.

MIMO Radar Transmit Beampattern Shaping for Spectrally Dense Environments