基于等效谐波的时空编码超表面DOA估计方法

    DOAEstimation Based on Equivalent Harmonic for Space-Time Coding Metasurface

    • 摘要: 针对传统波达方向(DOA)估计硬件复杂度高及现有时空编码超表面方法在宽带场景下谐波混叠导致性能退化的问题,本文提出一种基于等效谐波的超表面宽带测向方法。该方法利用1-bit透射型时空编码超表面作为单通道接收孔径,对宽带LFM信号进行周期性相位调制。通过匹配滤波实现脉冲压缩,将宽带能量聚焦为时域窄脉冲序列,提取等效谐波系数并建立与入射角度的映射关系,将频域谐波分析扩展至脉冲压缩域,有效克服了频谱混叠对谐波提取的制约。理论推导了时域等效谐波不混叠条件及带宽适用边界。仿真结果表明,在低信噪比场景下,所提算法相较于稀疏重构类算法具有更高的估计精度。

       

      Abstract: To address the high hardware complexity of traditional DOA estimation systems and the performance degradation caused by harmonic aliasing in wideband scenarios for existing space-time coding metasurface methods, this paper proposes a wideband direction finding method based on equivalent harmonics. The proposed method employs a 1-bit transmissive space-time coding metasurface as a single-channel receiving aperture to perform periodic phase modulation on wideband LFM signals. By applying matched filtering to achieve pulse compression, the wideband energy is focused into a narrow pulse sequence in the time domain. Equivalent harmonic coefficients are extracted from the compressed pulses, and the mapping relationship between these coefficients and incident angles is established, extending frequency-domain harmonic analysis to the pulse compression domain. This effectively overcomes the constraint of spectral aliasing on harmonic extraction for wideband signals. The conditions for time-domain equivalent harmonic non-aliasing and the applicable bandwidth bounds are theoretically derived. Simulation results demonstrate that the proposed algorithm achieves higher estimation accuracy compared to sparse reconstruction-based algorithms in low signal-to-noise ratio scenarios.

       

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