Computational electromagnetics applied to analyzing the efficient utilization of the RF transmission hyperspace

New spectrum sharing techniques for wireless systems have recently been investigated that enable the joint utilization of all orthogonal electromagnetic (EM) transmission resources, including, but not limited to rime, frequency, geographic space, modulation/code, and polarization. This multi-dimensional environment is referred to as the transmission hyperspace (TH), a term intended to convey the notion of a multi-dimensional resource space, expressed as an n-tuple, in which each dimension allows orthogonality amongst users. The challenges faced in the modeling and analysis of large-scale TH-enabled problems is presented in terms of assigning the n-tuple for the purpose of enhancing throughput. The key aspects of the TH for efficient spectrum management are discussed. The TH approach is anticipated to provide several orders of magnitude improvement in RF resource utilization and aggregate information throughput.