Three-Dimensional Spatial Fading Correlation of Uniform Rectangular Array Using Total Power of Angular Distribution

An Efficient Analytical Evaluation of the Electromagnetic Cross Correlation Green’s Function in MIMO Systems

“…To answer this question, we probe further into C pq , by expressing the inter-element spacing y d in terms of the operating wavelength λ. Writing y d = pλ and using k = 2π/λ, one can put C pq via (9), (11) and (12) in the following form…”

“…Since x d = z d = 0 for this case, we have r d = y d sin θ sin φ. Applying this r d in (11), the reduced expression for I pq,n is obtained as follows:…”

“…Fifth generation (5G) wireless networks aiming at high data-rate (> 10 Gbps) and efficient interference suppression between multiple users in ultra-dense networks (UDNs), deploy large antennas arrays/massive multiple-input-multipleoutput (MIMO) systems as key enabling technology [1]- [6]. One crucial aspect of such multiple-antenna systems in MIMO transceivers is the latter's "spatial correlation matrix", which accounts for mutual interaction (conventionally, only far-field is taken into account) between the constituent antenna element-pairs [7]- [11]. Despite the pivotal role of this spatial correlation matrix in shaping the overall channel matrix and consequent capacity/interference-suppression issues (see [12]- [15] for details), the impact of pure antenna effects and various core electromagnetic aspects in MIMO channel modelling are often not emphasized adequately.…”