CAJ | 학술논문

针对常规二维波达方向估计的高分辨算法的运算量大和稳健性差，将基于均匀线阵的RE-LAX算法拓展到均匀面阵中，得到了多快拍二维角度估计的二维RELAX（2-DRELAX）算法。对于常见的单目标存在地面反射多径的情况，将2-DRELAX算法进行简化，提出了一种基于行列合成处理和RELAX算法测角的双迭代方法。该方法由某个初始的二维角度出发，首先进行行列合成处理，将面阵接收的数据矩阵合成为行、列天线接收的数据矢量，然后由RELAX算法分别估计方位角和俯仰角，最后由估计的二维角度更新行列合成因子并进行行列合成，得到更精确的二维角度估计，如此迭代直至得到的二维角度满足给定的精度要求。该方法收敛速度快，无需特征值分解和多维搜索，对相关信号不需要解相关处理，具有较高的测角精度和分辨力。
침대상규이유파체방향고계적고분변산법적운산량대화은건성차，장기우균균선진적RE-LAX산법탁전도균균면진중，득도료다쾌박이유각도고계적이유RELAX（2-DRELAX）산법。대우상견적단목표존재지면반사다경적정황，장2-DRELAX산법진행간화，제출료일충기우행렬합성처리화RELAX산법측각적쌍질대방법。해방법유모개초시적이유각도출발，수선진행행렬합성처리，장면진접수적수거구진합성위행、렬천선접수적수거시량，연후유RELAX산법분별고계방위각화부앙각，최후유고계적이유각도경신행렬합성인자병진행행렬합성，득도경정학적이유각도고계，여차질대직지득도적이유각도만족급정적정도요구。해방법수렴속도쾌，무수특정치분해화다유수색，대상관신호불수요해상관처리，구유교고적측각정도화분변력。
The RELAX algorithm for 2-D direction-of-arrival （2-D DOA） estimation using muh-snapshot is obtained by extending the RELAX algorithm from uniform linear array（ULA） to uniform planar array, which reduces the computational complexity and enhances the robustness. Based on the 2-D RELAX al- gorithm, a dual-iteration algorithm comprising row-column synthesizing and RELAX is proposed to esti- mate the 2-D DOA of single target with reflecting multi-path echo. Starting with some initial 2-D angles, this method synthesizes the received data of planar array into vectors along both the row and column direc- tions. Then RELAX is used to obtain the elevation and azimuth angles respectively. Finally, the weighted factors for row-column synthesizing are reconstructed using the estimated 2-D angles, and the 2-D angles are obtained iteratively until they reach the given precision. The proposed method has high estimation precision and resolution without eigen-decomposition and muhi-dimensional spectral search, and it needs no deeorrelation procedure for coherent signals. Numerical simulation results verify the effectiveness of the method.