Abstract
The paper presents the results of the research of electromagnetic mutual coupling impact on the structure of the correlation matrices in multiantenna communication systems. Classical correlation structures employed in most of the up-to-date communication systems descriptions and designs usually assume unit autocorrelation and exponentially decreasing cross-correlation of antenna elements in the receiving/transmitting array. At the same time numerous studies had shown that these assumptions may not hold under certain conditions. The performed research relates the correlation effects with the imbalances of the array impedance matrix terms and studies the impact of antenna elements mutual electromagnetic interaction upon the diagonal (autocorrelation) and off-diagonal (cross-correlation) terms of correlation matrix, depending of the geometry of the array: number of elements and their spatial separation. To exemplify quantitative results the analysis was carried out for the 5G NR #78 band, being one of the most wideband subchannels in Under-6 GHz regime for 5G systems. The obtained results also justified the applicability of the banded correlation matrix model for wireless communications.
Highlights
Communication systems’ synthesis and real time adaption to the changing conditions [1, 2]necessitates the forecast of the communication system statistical properties [3, 4]
The impinging electromagnetic wave of the received signal forms a current distribution in the conductive parts or on the equivalent aperture of the ith antenna element, which can be characterized by the complex envelope of the signal Ii ( i = 1,..., N ) and the vector of the antenna array input signals
Since the simulation setup assumed dipole antennas, which are omnidirectional in the horizontal plane, the classical Jakes correlation model (3) was used as a reference
Summary
Communication systems’ synthesis and real time adaption to the changing conditions [1, 2]necessitates the forecast of the communication system statistical properties [3, 4]. The estimation of the potential error probability, link outage probability, channel capacity and spatial diversity gain for the case of multiple input multiple output (MIMO) systems is based on the channel matrix, which, in turn, determines the channel correlation matrix [5]. Many of these characteristics of the communication system are calculated from a set of eigenvalues of the correlation matrix. These two factors-the exponential law of decrease of the matrix elements and the value of the one-step correlation coefficient determine basic properties of the communication system
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