Polynomial Phase Constrained Waveforms for mmWave MIMO Radars

In this article, we propose a generic framework to design interference immune waveforms for frequency-modulated continuous wave (FMCW)/phase-modulated continuous wave (PMCW) multiple-input–multiple-output (MIMO) radar systems. This framework is composed of diverse set of algorithms that improves the overall system performance. The waveform design approach uses the majorization–minimization and block coordinate descent optimization frameworks by considering complementary, integrated sidelobe level and spatial beam shaping cost functions. The proposed algorithms generate waveform sequence sets in every pulse and across multiple pulses where a sequence in each pulse possesses a property of degree $Q$ polynomial in unwrapped phase within its subsequences. The algorithm culminates by obtaining an optimal solution with monotonic convergence. In addition, the discussion is complemented by two case studies. First, intrapulse modulation in FMCW radars with beampattern design adaptation for tunnel-based scenarios. Second, Doppler-tolerant sequence set design in MIMO PMCW radars for efficient detection of dynamic targets and mitigation of mutual interference amongst concurrent radar systems.