Fast Gradient‐Based Algorithm for Doppler‐Tolerant Radar Waveform Design

ABSTRACT This letter presents an efficient algorithm for designing Doppler‐tolerant radar waveforms with superior computational efficiency. The proposed method jointly minimizes the peak sidelobe level (PSL) and mainlobe loss level (MLL) under Doppler shifts by introducing a dynamic weighting strategy that adaptively balances these competing objectives. To address the resulting non‐convex optimization problem, log‐sumexp smoothing combined with automatic differentiation is employed, enabling efficient gradient‐based optimization. Experimental results demonstrate that the proposed algorithm achieves 1 dB lower PSL than the state‐of‐the‐art maximum block improvement (MBI) method with comparable MLL, while being up to 8 times faster computationally. Moreover, the algorithm scales efficiently to longer code lengths, making it particularly suitable for practical radar applications requiring adaptive waveform design.