Random Interpulse Frequency and PRT Joint Agile Waveform Design based on Whales Optimization Algorithm

Recent advancements in waveform generators have propelled the active agile waveform design as a prominent research direction for the anti-jamming solutions. Nevertheless, the efficient design of optimal agile waveforms with enhanced performance metrics, such as low integrated sidelobe level (ISL), remains a significant challenge. This deficiency may directly compromise radar capabilities in target detection, recognition, and anti-jamming. This paper proposes a Whale optimization algorithm (WOA) based random interpulse frequency and pulse repetition time (PRT) joint agile (RI-FPrtJA) waveform. Firstly, the unique ambiguity function (AF) of RI-FPrtJA waveform within a coherent processing interval (CPI) are mathematically derived; Then, we theoretically formulate the WOA-based RI-FPrtJA waveform optimization design framework, integrated with a multi-objective optimization function that incorporates a weighted combination of the mutual incoherence property (MIP) factor and ISL of the AF; Lastly, the simulations are carried out to verify the effectiveness of our proposed method. The qualitative and quantitative numerical simulation results demonstrate that the WOA-based optimized RI-FPrtJA waveform has better or competitive performances in terms of peak-to-sidelobe level ratio (PSLR), ISL, and so on, compared to some current existing methods.