论文标题
RADIX-2延迟的宽带多光束天线阵列的延迟vandermonde矩阵的稀疏稀疏因素化
Radix-2 Self-Recursive Sparse Factorizations of Delay Vandermonde Matrices for Wideband Multi-Beam Antenna Arrays
论文作者
论文摘要
本文为使用天线阵列提供了与基于真实时延迟的宽带模拟多光束构造的Vandermonde矩阵的独立分解。提出的分解含有稀疏和正交矩阵。提出了与真实时延迟基于延迟和滤波器相关的Vandermonde矩阵的新型自我复发性RADIX-2算法，以降低多光束模拟光束系统的电路复杂性。 Vandermonde矩阵的提议算法达到$ \ MATHCAL {o}（n \ log n）$ delay-amplifier电路计数。与真实时延迟相关的VanderMode矩阵的误差界限建立，然后分析数值稳定性。所提出算法实现现实世界电路实现的潜力将通过信号流图显示，这是高频模拟电路实现的起点。
This paper presents a self-contained factorization for the Vandermonde matrices associated with true-time delay based wideband analog multi-beam beamforming using antenna arrays. The proposed factorization contains sparse and orthogonal matrices. Novel self-recursive radix-2 algorithms for Vandermonde matrices associated with true time delay based delay-sum filterbanks are presented to reduce the circuit complexity of multi-beam analog beamforming systems. The proposed algorithms for Vandermonde matrices by a vector attain $\mathcal{O}(N \log N)$ delay-amplifier circuit counts. Error bounds for the Vandermode matrices associated with true-time delay are established and then analyzed for numerical stability. The potential for real-world circuit implementation of the proposed algorithms will be shown through signal flow graphs that are the starting point for high-frequency analog circuit realizations.
