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Table 1 Coefficient values for \(M=32\) and \(\theta _{\mathrm {lim}}=2.5^{\circ }\)

From: A beam broadening method for phased arrays in wireless communications

\(\theta _{\mathrm {max}}\)

\(\Delta _F^{\text {max}}(\theta _{\text {max}},\theta _{\text {lim}})\) (rad)

\(\Omega _{\mathrm {max}}^{80}(\theta _{\mathrm {max}},\theta _{\mathrm {lim}})\) (rad)

85\(^\circ\) / 95\(^\circ\)

1.6947

1.7035

80\(^\circ\) / 100\(^\circ\)

1.4457

1.4905

75\(^\circ\) / 105\(^\circ\)

1.2620

1.3285

70\(^\circ\) / 110\(^\circ\)

1.0958

1.1885

65\(^\circ\) / 115\(^\circ\)

1.0120

1.1185

60\(^\circ\) / 120\(^\circ\)

0.8545

0.9885

55\(^\circ\) / 125\(^\circ\)

0.7130

0.8705

50\(^\circ\) / 130\(^\circ\)

0.6600

0.8445

45\(^\circ\) / 135\(^\circ\)

0.5808

0.7845

40\(^\circ\) / 140\(^\circ\)

0.3722

0.6025