6 December 1989 Two-Dimensional Adaptive Beamforming Techniques
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In this paper we present a number of algorithms for two-dimensional (2-D) adaptive beamforming with planar array antennas. These are: (1) the 2-D LMS, (2) the 2-D Howells-Applebaum algorithm, and (3) the 2-D QRD-LS algorithm. In the latter case we also present an architecture for a systolic array processing. The derivation of the first two algorithms is based on the classical methods of gradient descent and control-loop, respectively, which were developed initially for 1-D arrays. The relationship between the 2-D and 1-D adaptive arrays will be discussed. The concept of 2-D eigenvector beams is also presented. The paper shows that an eigenbeam for a 2-D array can be formed by using two independent 1-D eigenbeams which are operating on row / and column m of the array. As a consequence, this leads to the introduction of a 3-D systolic array for performing the QRD-LS minimization. When the data flow is in time-skewed format, adaptations along rows and columns of the 2-D array can be carried out simultaneously.
© (1989) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
T. V. Ho, T. V. Ho, J. Litva, J. Litva, "Two-Dimensional Adaptive Beamforming Techniques", Proc. SPIE 1154, Real-Time Signal Processing XII, (6 December 1989); doi: 10.1117/12.962370; https://doi.org/10.1117/12.962370


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