Gram-Schmidt Method for Arbitrary Planar ESPAR Geometry
The steering vectors for an arbitrary planar ESPAR geometry are:
Thus, the aerial DoFs theoretically equal the number of ESPAR elements and
For a specific ESPAR antenna it is then possible to calculate the set of load matrices X that will provide the required patterns .
Next, the Gram-Schmidt process is applied to the circular ESPAR with 5 elements shown in Fig.
the beamspace dimensionality, is equal to the number of ESPAR elements.
mn] is the distance between the m-th and n-th ESPAR elements (this is not the ESPAR radius), D is the element's length, usually equal to [lambda]/2, and [S.
Increasing the ESPAR radius, more basis patterns participate considerably to the total radiated pattern, while larger radii values reduce remarkably the contribution of all basis patterns except the first that eventually dominates.
The proposed architecture utilizes the basis patterns computed in previous section for a 5-element circular ESPAR antenna.
4 illustrates the ergodic capacity of single RF MIMO when transmit and receive ESPAR antennas are able to offer [N.