Advanced Optimization Techniques in Radar Waveform Design Using Nonlinear Conjugate Gradients
摘要
Radar waveform design is crucial for optimizing radar system performance, especially in complex and dynamic environments. Traditional optimization methods often struggle with the nonlinear and high-dimensional characteristics of radar waveform parameters. This paper introduces advanced optimization techniques utilizing nonlinear conjugate gradient methods specifically applied to Poly-Phase Coded Frequency Modulation (PCFM) waveforms implemented with a Fourier basis. The proposed approach improves radar waveform performance by reduction Peak Sidelobe Level Ratio (PSLR) and enhancing spectral confinement. The Nonlinear Conjugate Gradient (NCG) method demonstrates superior convergence rates and accuracy in large-scale optimization problems, offering robust solutions for modern radar systems. Comprehensive simulations and practical implementations reveal that the Fourier-optimized PCFM waveforms provide a 2dB improvement in sidelobe levels. This sidelobe improvement enhances the detection reliability in radar systems by reducing interference, and simultaneously, spectral confinement ensures better communication performance. These improvements ensure low sidelobe levels for precise target detection and efficient spectrum use for seamless communication.