Performance Analysis of Frequency Domain Precoding Time-Reversal MISO OFDM Systems

Time reversal (TR) recently emerged as an interesting communication technology capable of providing a good spatio-temporal signal focusing effect. New generations of large-bandwidth devices with reduced cost leverage the use of TR wideband communication systems. TR can easily be integrated into an orthogonal frequency-division multiplexing (OFDM) system by precoding the signal in the frequency domain. In this letter, we first extend the frequency-domain TR precoding to rate back-off factors (BOFs) different than one. We secondly derive a closed-form mean-square-error (MSE) expression of the received equalized symbols as a function of the BOFs and the number of antennas. The derived MSE formula is validated numerically with Rayleigh fading channels.