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中文核心期刊

一种多址波形互扰抑制滤波方法

An inter-waveform interference suppression filtering method for multiple-access waveforms

  • 摘要: 为解决多址有源声呐协同探测过程中的波形互扰问题, 提出了基于分数阶傅里叶变换(FrFT)的多址波形滤波方法。该方法首先基于多重正交离散频率编码正交频分线性调频信号 (DFCW-OFD-LFM)各子波的频率编码、FrFT对不同编码子波能量聚集特性和预设目标相对多普勒速度范围, 计算目标波形各子波在不同多普勒压缩因子下的旋转角和FrFT域能量峰值位置, 估计波形多普勒压缩因子和每个子波FrFT最佳旋转角; 然后确定每个子波最佳旋转角下的FrFT域数据和滤波窗口, 滤除每个子波滤波窗口外的干扰功率, 抑制波形互扰; 最后对滤波后的子波数据进行分数阶傅里叶逆变换(iFrFT), 并根据子波顺序重构波形数据。为了验证所提滤波方法的性能, 仿真分析了不同互扰条件下回波的干扰特性和多址滤波特性, 并基于副本相关(RC)检测方法对不同多普勒速度下的目标波形在滤波前和滤波后的检测性能和误检性能进行了仿真验证, 结果表明, 在1/1000虚警率, 目标相对多普勒速度10 kn, 20 kn, 30 kn, 目标检测率0.8时, 检测性能多址滤波后较滤波前提升0.91~3.07 dB; 存在干扰波形互扰, 误检率0.1时, 误检性能多址滤波后较滤波前优2.07~5.10 dB, 验证了所提滤波方法的有效性。

     

    Abstract: To mitigate mutual interference among waveforms during the cooperative detection process in multiple-access active sonar systems, a multiple-access waveform filtering technique based on the fractional Fourier transform (FrFT) is proposed. Firstly, according to the frequency coding characteristics of each subwave of the discrete frequency coding waveform of orthogonal frequency division linear frequency modulation (DFCW-OFD-LFM) signal, the energy focusing property of FrFT for subwaves with different coding modes, and the preset relative Doppler velocity range of targets, the rotation angles and FrFT-domain energy peak positions of each target subwave under different Doppler compression factors are calculated. On this basis, the waveform Doppler compression factor and the optimal FrFT rotation angle of each subwave are estimated. Subsequently, the FrFT-domain data and filtering window corresponding to the optimal rotation angle of each subwave are determined, and the interference power outside the filtering window of each subwave is eliminated to suppress waveform mutual interference. Finally, inverse FrFT is performed on the filtered subwave data, and the complete waveform data is reconstructed in accordance with the subwave sequence. To validate the performance of the proposed filtering method, simulation analyses are conducted to investigate the echo interference characteristics and multiple-access filtering characteristics under diverse mutual interference conditions. Furthermore, the replica correlation (RC) detection algorithm is adopted to simulate and verify the detection performance and miss detection performance of target waveforms before and after filtering at different Doppler velocities. The simulation results show that, at a false alarm rate of 1/1000 and a target detection probability of 0.8, the proposed method yields a detection performance gain of 0.91–3.07 dB at target relative Doppler velocities of 10 kn, 20 kn and 30 kn. In the presence of waveform mutual interference, the miss detection performance is improved by 2.07–5.10 dB at a miss detection rate of 0.1, which demonstrates the efficacy of the proposed filtering method.

     

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