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Equivalence of adaptive time reversal and least squares for cross talk mitigation
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1.
1. H. C. Song, J. S. Kim, W. S. Hodgkiss, W. A. Kuperman, and M. Stevenson, “ High-rate multiuser communications in shallow water,” J. Acoust. Soc. Am. 128, 29202925 (2010).
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FIG. 1.

(Color online) Block diagram for passive TR equalization for a single user or transmitter case ( = 1). CTR combining is based on the knowledge of the channel responses (−),  = 1,…, and is followed by a single channel equalizer (e.g., DFE) to remove the residual ISI (CTR-DFE). For ATR equalization, (−) will be replaced by (−) derived in the time domain from Eq. (2) (ATR-DFE).

Image of FIG. 2.

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FIG. 2.

(Color online) Projections in -dimensional space. The projection of onto is corresponding to the second term in the bracket of Eq. (13) .

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/content/asa/journal/jasa/135/3/10.1121/1.4865839
2014-02-19
2014-04-19

Abstract

A recent paper [H. C. Song , J. Acoust. Soc. Am. EL19–EL22 (2010)] demonstrated adaptive time reversal (ATR) using at-sea experimental data which significantly suppressed the cross talk among users (or transmitters) over conventional time reversal. In this letter, the ATR approach is shown essentially equivalent to the least squares solution to an over-determined system.

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Scitation: Equivalence of adaptive time reversal and least squares for cross talk mitigation
http://aip.metastore.ingenta.com/content/asa/journal/jasa/135/3/10.1121/1.4865839
10.1121/1.4865839
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