Communication over Hypercomplex Kahler Manifolds: Capacity of Dual-Polarized Multidimensional-MIMO Channels ¨
Özgür Ertu · 2006
We consider single-user communications over joint space-pattern-polarization diversity providing dual- polarized multidimensional-MIMO (MD-MIMO) chan- nels established by the use of multiple dual-polarized transmit/receive antennas in the form of uniformly- spaced 1D, 2D and/or 3D MIMO arrays. Based on the equivalent channel-models formulated based on hy- percomplex Kahler manifolds, we subsequently identify the decomposition of dual-polarized multidimensional- MIMO channels into multiple independently-fading and scaled classical MIMO channels in parallel through the algebraic properties of hyperKahler manifolds and consequently derive the corresponding ergodic capaci- ties analytically. We show in essence via the diversity- reception over independent channels perspective deduc- tion of the decomposition into parallel MIMO channels observation that the capacity gains achievable by dual- polarized multidimensional-MIMO Tx/Rx over classi- cal single-polarized linear antenna array MIMO Tx/Rx may be notably large with equal number of transmit and/or receive antenna locuses constrained compactly and under same resource requirements/channel condi- tions whenever the cross-polar discrimination is good, i.e. ρ � 1.