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A synthesis method for orthogonal beam-forming networks (BFNs) with arbitrary N inputs and N outputs is presented. Compared to those formerly developed, the new method allows the design of a BFN in order to not only generate arbitrary N orthogonal beams and N inputs but also to make the 180° hybrids less. This skill is obtained by means of a new approach to decompose the matrices  $Q_{1}$  and  $Q...

Method of Synthesizing Orthogonal Beam-Forming Networks Using <italic>QR</italic> Decomposition