| CPC H01Q 9/42 (2013.01) [H01Q 1/36 (2013.01); H01Q 9/40 (2013.01); H01Q 11/14 (2013.01); H01Q 11/16 (2013.01); H01Q 11/18 (2013.01); H01Q 15/0093 (2013.01)] |

| AS A RESULT OF REEXAMINATION, IT HAS BEEN DETERMINED THAT: |
| The patentability of claims 1-20 is confirmed. |
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1. A wireless communications device comprising:
an antenna system comprising an antenna element, a ground plane, and a dielectric material;
the antenna element comprising at least one radiating arm and a feeding point coupled to a transmission medium and forming a non-planar structure;
a perimeter of the at least one radiating arm defines a grid dimension curve;
the at least one radiating arm being coupled to the feeding point;
the perimeter of the at least one radiating arm comprising at least ten segments, each segment of the at least ten segments forms an angle with an adjacent segment of the at least ten segments and is shorter than one-tenth of a longest free-space operating wavelength;
the grid dimension curve being a non-periodic curve that has a grid dimension (Dg) greater than 1.3;
![]() N1 comprises a number of square cells of the first grid that enclose at least a portion of the grid dimension curve;
N2 comprises a number of square cells of the second grid that enclose at least a portion of grid dimension curve;
L1 comprises a length of the square cells of the first grid positioned over the grid dimension curve such that the first grid completely covers the grid dimension curve;
L2 comprises a length of the square cells of the second grid positioned over the grid dimension curve such that the second grid completely covers the grid dimension curve;
the first grid and the second grid are each positioned such that no entire row or column on a perimeter of either of the grids fails to enclose at least a portion of the at least one grid dimension curve;
the first grid covers the grid dimension curve with a minimum possible number of cells being said minimum number at least twenty-five;
the second grid has four times the number of cells of the first grid; and
L2 is equal to 0.5 L1.
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