Abstract
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.
Highlights
A challenging task in the design and implementation of generation broadband wireless networks is data rate maximization for all active users, under limited bandwidth constraints
In Reference [7], bit error rate (BER) is derived for massive multiple input multiple output (MIMO) systems, using the orthogonal frequency division multiplexing (OFDM) physical layer protocol
Three MIMO cases are depicted: (4,4,6,32), (4,4,2,32) and (8,8,6,32). In this particular set of simulations, pdf curves of γk,d from MC simulations considering the first transmission mode are compared with the ones derived using curve fitting with normal distribution
Summary
A challenging task in the design and implementation of generation broadband wireless networks is data rate maximization for all active users, under limited bandwidth constraints To this end, several approaches in literature have been proposed, such as the deployment of multiple input multiple output (MIMO) architecture at both ends of the wireless orientation [1]. In Reference [7], BER is derived for massive MIMO systems, using the orthogonal frequency division multiplexing (OFDM) physical layer protocol. In this context, a reduced complexity approximation is introduced, using Newton’s interpolation with different polynomial orders for log-likelihood ratio calculations.
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