A Novel Constrained Waveform Designing for MIMO RADAR Using Optimization Algorithms

Abstract

MIMO RADAR system is efficacious in forming the desired beampattern by using transmit waveform design methodology. In this work, a distinctive approach is carried out to design null-steered transmit beamforming through discrete polyphase-coded waveforms. These waveforms are optimized and analysed in space domain and also checked for orthogonality in time domain. The cost function is inducted in order to achieve radiation nulls in the direction of the jammer, other radars, undesired target, etc. Besides widely held optimization algorithms, a novel metaheuristic approach namely “Jaya” algorithm is dealt with, implemented and compared in the designing of traditional and polyphase waveforms. Unlike other population-based algorithms, the absence of algorithm-specific parameters makes it computationally effective. The proposed approach applied post optimization process satisfies the design constraint for creating discrete-valued phases. “Jaya” optimization with regard to the polyphase waveform design, in space domain endows the least radiation null notch of dB. The design time metric is also significantly minimized. Further, the effect of phase error on the designed beampatterns are analysed. The proposed method offers a reasonable trade-off between the number of design constraints and beamformer performance even in the erroneous environment. A higher value of M in M-phase-coded waveform guarantees robust beamforming specifically in multiple nulls scenarios. The approaches are validated with mathematical modelling and numerical simulations.