面向高速目标探测的多子脉冲结构波形设计方法

      The multi-subpulse waveform design method for high-speed target detection

      • 摘要: 现有全脉冲结构波形与处理方法,如相位编码波形匹配处理存在多普勒容忍度差的固有缺陷,线性调频(linear frequency modulation, LFM) 波形加窗处理降低了距离分辨率和信噪比(signal to noise ratio, SNR)增益,难以适应高速多目标探测的任务需求。为此,本文提出了一种面向高速目标探测的多子脉冲结构波形设计与处理方法。首先,构建具有多子脉冲结构波形的回波模型,利用分段子脉冲压缩处理和子脉冲间相参处理方法,导出多子脉冲结构波形的距离-多普勒响应函数;然后,根据感兴趣的目标距离速度区间,建立恒模约束下以最小化加权积分距离-多普勒旁瓣电平为目标函数的多子脉冲结构波形优化设计问题;最后,引入坐标下降(coordinate descent, CD)优化框架,将高维非凸约束优化问题的求解转变为多个一维优化问题的迭代求解,且推导出这些低维问题的闭式解。仿真表明,所设计的多子脉冲结构波形具有较好的多普勒容忍度和较低的局部距离-多普勒旁瓣电平,且在高速多目标认知探测场景下,相比于LFM波形、模糊函数优化信号和LFM-noise波形具有更好的高速目标探测能力。

         

        Abstract: Existing full-pulse structured waveform and processing methods, such as phase-coded waveform matched filtering, have inherent defects of poor Doppler tolerance Additionally, linear frequency modulation (LFM) waveforms with windowing processing degrade range resolution and signal-to-noise ratio (SNR) gain, making them insufficient for high-speed multi-target detection requirements. To address these limitations, this paper proposes a multi-subpulse structured waveform design and processing method for high-speed target detection. First, an echo model of the multi-subpulse structured waveform is constructed. The range-Doppler response function is derived using segmented subpulse compression processing and inter-subpulse coherent integration. Next, based on the target range-velocity region of interest, an optimization problem for the multi-subpulse structured waveform is formulated under a constant modulus constraint, with the objective of minimizing the weighted integrated range-Doppler sidelobe level. Finally, a coordinate descent (CD) optimization framework is introduced to decompose the high-dimensional non-convex-constrained optimization problem into iterative solutions of multiple one-dimensional subproblems, for which closed-form solutions are derived. Simulation results demonstrate that the proposed multi-subpulse structured waveform exhibits superior Doppler tolerance and lower local range-Doppler sidelobe levels compared to the LFM waveforms, ambiguity-function-optimized waveforms, and LFM-noise waveforms. It further achieves enhanced high-speed target detection capability in cognitive multi-target scenarios.

         

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