Convex Optimization
SIAM Journal on Optimization
Positive Trigonometric Polynomials and Signal Processing Applications
Positive Trigonometric Polynomials and Signal Processing Applications
Complex Matrix Decomposition and Quadratic Programming
Mathematics of Operations Research
Design of phase codes for radar performance optimization with a similarity constraint
IEEE Transactions on Signal Processing
Code design for radar STAP via optimization theory
IEEE Transactions on Signal Processing
Code Design to Optimize Radar Detection Performance Under Accuracy and Similarity Constraints
IEEE Transactions on Signal Processing
Optimal transmit-receiver design in the presence of signal-dependent interference and channel noise
IEEE Transactions on Information Theory
Optimization of radar phase-coded signals for multiple target detection
Signal Processing
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This correspondence considers the problem of robust waveform design in the presence of colored Gaussian disturbance under a similarity and an energy constraint. We resort to a max-min approach, where the worst case detection performance (over the possible Doppler shifts) is optimized with respect to the radar waveform under the previously mentioned constraints. The resulting optimization problem is a non-convex Quadratically Constrained Quadratic Program (QCQP) with an infinite number of constraints, which is NP-hard in general and typically difficult to solve. Hence, we propose an algorithm with a polynomial computational complexity to generate a good sub-optimal solution for the aforementioned QCQP. The analysis, conducted in comparison with some known radar waveforms, shows that the sub-optimal solutions by the algorithm lead to high-quality radar signals.