Sarah Spence Adams

TL;DR: This paper builds a theory of these novel quaternion orthogonal designs, offers examples, and provides several construction techniques to lay the foundation for developing applications of these designs as Orthogonal space-time-polarization block codes.

TL;DR: A tight lower bound on the decoding delay for maximum rate codes is shown, which is used to provide evidence that when the number of antennas is congruent to 2 modulo 4, the best achievable decoding delay is 2(m-1 2m_).

TL;DR: An efficient method for incorporating polarization diversity with space and time diversity is studied, based on extending orthogonal space-time block codes into the quaternion domain and utilizing a description of the dual-polarized signal by means of quaternions.

TL;DR: The final case is addressed, and it is shown that when the number of columns is congruent to 2 modulo 4, the lower bound on decoding delay cannot be achieved and the shortest decoding delay a maximum rate COD can achieve is twice the lowerbound.

TL;DR: It is shown that dynamic monopolies and feedback vertex sets are equivalent in graphs wherein all vertices have degree 2 or 3, and this equivalence is used to provide exact values for the minimum size ofynamic monopolies of planar hexagonal grids, as well as upper and lower bounds on the minimum sizes of dynamic monopolie of cylindrical and toroidal hexagonal grid.