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Reduced Complexity BER Calculations in Large Scale Spatial Multiplexing Multi-User MIMO Orientations in Frequency Selective Fading Environments

National and Kapodistrian University of Athens, General Department, Sterea Ellada, 34400 Dirfies Messapies, Greece
National Technical University of Athens, School of Electrical and Computer Engineering, Intelligent Communications and Broadband Networks Laboratory, 9 Heroon Polytechneiou str, Zografou, 15780 Athens, Greece
Author to whom correspondence should be addressed.
Electronics 2019, 8(7), 727;
Received: 10 June 2019 / Revised: 23 June 2019 / Accepted: 24 June 2019 / Published: 26 June 2019
(This article belongs to the Section Microwave and Wireless Communications)
PDF [768 KB, uploaded 28 June 2019]


In this article, a computationally-efficient approach is presented for Bit Error Rate (BER) calculations in multi-user Multiple Input Multiple Output (MIMO) frequency selective fading environments, operating in spatial multiplexing transmission mode. To this end, theoretical expressions for the equivalent Signal to Interference plus Noise Ratio (SINR) per active user and transmission mode, as well as mean BER, are derived. The key idea is that all parameters related to BER calculations can be expressed as sums of identically distributed random variables (RVs). Hence, computational burden can be reduced, since summation formulas take into account the parameters of a standalone RV along with the correlation of an arbitrary pair of RVs. As results indicate, the proposed approach can accurately estimate mean BER in multiuser MIMO orientations with increased reception diversity order, for arbitrary number of transmit/receive antennas, a modulation scheme, and a number of resolvable multi-path components. View Full-Text
Keywords: MIMO; spatial multiplexing; CDMA MIMO; spatial multiplexing; CDMA

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Gkonis, P.K.; Kaklamani, D.I. Reduced Complexity BER Calculations in Large Scale Spatial Multiplexing Multi-User MIMO Orientations in Frequency Selective Fading Environments. Electronics 2019, 8, 727.

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