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The efficiency of several Microstrip (Patch) antennas with varying substrate heights etched on a substrate material with a relatively high dielectric constant was calculated from gain measurement data. The radiation efficiency of a 4, 5, 6 and 7mm thick patches were measured to be 0.8887, 0.9097, 0.9163 and 0.9202, respectively. The efficiency of a λ/4 monopole at the same frequency was measured to be 0.9389. To achieve a -2.0 dBi of gain at an elevation angle θ = 90° and a +2 dBic at elevation angles between 30° and 70° for the XM signal reception, the patch efficiency has to exceed the efficiency of a λ/4 monopole at the same frequency.