Bit error rate in eigenchannels of SVD-based MIMO system

In this paper, we derive the exact closed-form expressions on the bit error rate (BER) in the individual eigenchannels of the singular value decomposition (SVD)-based multiple-input multiple-output (MIMO) system with the perfect channel state information (CSI) at both the transmitter and receiver. It is assumed that a MIMO system operates in uncorrelated Rayleigh fading environment and uses M-ary quadrature amplitude modulation (BPSK, QPSK, 16-QAM and 64-QAM). The obtained results are applicable for the systems with two eigenchannels, i.e. with M transmit and 2 receive antennas or with 2 transmit and N receive antennas. Besides the exact expressions, the corresponding high signal-to-noise ratio (SNR) approximations are also presented.

► An SVD-based MIMO system with two eigenchannels is considered.
► The exact closed-form expressions on BER in the individual eigenchannels are derived.
► Asymptotical approximations for the domain of high SNR are obtained.
► The original way of derivation of ordered eigenvalue statistic is proposed.
► The analytical results showed the excellent coincidence with the simulation results.