An Integrated Direction-Finding Method Based on L1-Norm Correlation Interferometer and MUSIC Algorithm
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摘要: 辐射源测向是空间态势感知的关键技术之一,测向的高精度和高实时性对于瞬息万变的电磁战场具有重要意义。传统相关干涉仪算法简单但俯仰角分辨率低、测向精度不足,MUSIC 算法精度高但算法复杂导致实现实时性差。针对上述问题,本文提出并实现了一种基于L1范数相关干涉仪与MUSIC算法的一体化测向方法。首先,在算法理论上提出了一种基于L1范数的改进相关系数,以替代传统相关干涉仪中的非线性相似度计算,该方法在保留对俯仰角敏感度的同时,将三角函数简化为硬件友好的基本算术,降低了FPGA设计复杂度。其次,在系统架构上,构建了“干涉仪粗测—MUSIC精测”的一体化处理流程,利用干涉仪粗测结果为MUSIC算法提供先验信息,将谱峰搜索约束在极小的局部邻域内。最后通过对比MATLAB仿真与FPGA计算结果,结果表明FPGA定点化实现的各核心模块与MATLAB浮点运算的相对误差均保持在1.0×10⁻⁶量级以下,算法保证精度的同时,相比于纯MUSIC算法的全向搜索测向时间缩短98%,验证了方案的有效性、实时性和高精度。本文将为开发新一代高性能、低功耗的星载电子侦察与态势感知系统提供技术基础。
Abstract: Direction finding of radiation sources is one of the key technologies for space situational awareness. High accuracy and real-time performance of direction-finding systems are of great significance in the rapidly changing electromagnetic battlefield. Traditional correlative interferometer algorithms are simple in implementation but suffer from low elevation resolution and insufficient accuracy, while the MUSIC algorithm achieves high precision at the cost of high computational complexity, resulting in poor real-time performance.To address these issues, this paper proposes and implements an integrated direction-finding method combining an L1-norm-based correlative interferometer and the MUSIC algorithm. First, at the algorithmic level, an improved correlation coefficient based on the L1 norm is introduced to replace the nonlinear similarity computation in the traditional correlative interferometer. This approach maintains sensitivity to elevation angles while simplifying trigonometric operations into hardware-friendly basic arithmetic, thereby reducing the design complexity on FPGA. Second, at the system architecture level, an integrated processing framework of “interferometer coarse estimation – MUSIC fine estimation” is constructed. The coarse estimation results from the interferometer serve as prior information for the MUSIC algorithm, constraining the spectral peak search within a small local neighborhood. Finally, comparative analysis between MATLAB simulations and FPGA computation results demonstrates that the relative errors between the fixed-point FPGA implementation and floating-point MATLAB computation of all core modules remain below the order of 1.0×10⁻⁶. While ensuring accuracy, the proposed method reduces direction-finding time by 98% compared with the full-space search of the pure MUSIC algorithm, thus verifying the effectiveness, real-time capability, and high precision of the proposed approach. This work provides a technical foundation for the development of next-generation high-performance, low-power satellite-borne electronic reconnaissance and situational awareness systems.
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Key words:
- DOA estimation /
- FPGA /
- Correlative interferometer /
- MUSIC algorithm
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