CLOSED-FORM DESIGN FORMULATIONS OF ARBITRARY PHASE DELAY CROSSOVER BASED ON ADMITTANCE MATRIX

A design method for four-port crossover with arbitrary phase delay is proposed in this paper. This method is based on admittance matrix. Closed-form design formulations are deduced by making the structure admittance matrix equal to theoretical one. A crossover with 45 - phase delay is designed and fabricated for theory veriflcation. In the Butler beam forming network, this crossover has two functions for making the elimination of the 45 - phase shifter possible and being used for circuit layout. Thus compact structure and good performance of Butler network can be realized.