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Fast‐convergence trilinear decomposition algorithm for angle and range estimation in FDA‐MIMO radar

机译:FDA-MIMO雷达角度和范围估计的快速融合三线性分解算法

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A frequency diverse array (FDA) multiple‐input multiple‐output (MIMO) radar employs a small frequency increment across transmit elements to produce an angle‐range‐dependent beampattern for target angle and range detection. The joint angle and range estimation problem is a trilinear model. The traditional trilinear alternating least square (TALS) algorithm involves high computational load due to excessive iterations. We propose a fast‐convergence trilinear decomposition (FC‐TD) algorithm to jointly estimate FDA‐MIMO radar target angle and range. We first use a propagator method to obtain coarse angle and range estimates in the data domain. Next, the coarse estimates are used as initialized parameters instead of the traditional TALS algorithm random initialization to reduce iterations and accelerate convergence. Finally, fine angle and range estimates are derived and automatically paired. Compared to the traditional TALS algorithm, the proposed FC‐TD algorithm has lower computational complexity with no estimation performance degradation. Moreover, Cramér‐Rao bounds are presented and simulation results are provided to validate the proposed FC‐TD algorithm effectiveness.
机译:频率各种阵列(FDA)多输入多输出(MIMO)雷达采用跨发射元件的小频率增量,以产生用于目标角度和范围检测的角度范围依赖的波束图案。关节角度和范围估计问题是三线性模型。传统的三线性交流最小二乘(T浆料)算法涉及由于过度迭代引起的高计算负荷。我们提出了一种快速融合的三线性分解(FC-TD)算法,共同估计FDA-MIMO雷达目标角度和范围。我们首先使用传播方法获得数据域中的粗角度和范围估计。接下来,将粗略估计用作初始化参数而不是传统的TALS算法随机初始化以减少迭代并加速收敛。最后,导出细角和范围估计并自动配对。与传统的TLS算法相比,所提出的FC-TD算法具有较低的计算复杂度,没有估计性能下降。此外,提出了Cramér-Rao界限,并提供了仿真结果以验证所提出的FC-TD算法的效果。

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