Research Article

Design and Implementation of Single-Layer 4 × 4 and 8 × 8 Butler Matrices for Multibeam Antenna Arrays

Table 2

Output phases, phase progressions , and beam directions of the 8 × 8 BM.

Input port/beamOutput phase (deg) (deg) (deg)
Port 9Port 10Port 11Port 12Port 13Port 14Port 15Port 16

1-112.545-157.50157.5-45112.5-90157.529
2-112.50112.5-135-22.590-157.5-45112.551.3
3-135-67.5067.5135-157.5-90-22.567.568
4-180-157.5-135-112.5-90-67.5-45-22.522.582.8
5-22.5-45-67.5-90-112.5-135-157.5-180-22.597.2
6-22.5-90-157.513567.50-67.5-135-67.5112
7-45-157.590-22.5-135112.50-112.5-112.5128.7
8-90112.5-45157.50-157.545-112.5-157.5151