Time-reversal: Spatio-temporal focusing and its dependence on channel correlation

We study a wireless communications system that applies time reversal to transmit the desired signal, so that it focuses spatially and compresses temporally on the intended receiver. Our theoretical calculations relate the achievable temporal and spatial compression to the channel propagation characteristics and the number of transmit antennas. We illustrate our theoretical results with parameters taken from the IEEE 802.11n channel model. The results verify the intuition that temporal and spatial focusing depend strongly on the product of the delay spread and the bandwidth, as well as the angular characteristics of the channel.

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