Asymptotic Noise Analysis of Time Reversal Detection

In time reversal, the received signal, including the additive noise component, is time reversed, energy normalized, and re-transmitted. The noise contained in the re-transmitted time-reversed signal has a significant impact on the time reversal detection performance. This paper carries out an asymptotic noise analysis of the time reversal generalized likelihood ratio detector, and develops an approximate closed form of the asymptotic SNR gain of the time reversal detector compared with the conventional detector. We show that a rich scattering and low noise environment is preferred for time reversal.