Published July 2003 | Version Published
Book Section - Chapter Open

Analysis of multiple antenna wireless links at low SNR

  • 1. ROR icon California Institute of Technology

Abstract

In the low signal-to-noise (SNR) regime when the channel is not known to both transmitter and receiver, we show that the capacity of a multiple antenna Rayleigh fading link is asymptotically quadratic in the SNR for all practical input distributions. This is much less than the known channel case where it exhibits a linear growth in the SNR. Under various signaling constraints we show that mutual information is maximized by using a single transmit antenna. Also sending training symbols offers no advantage at low SNR.

Additional Information

© 2003 IEEE. This work supported in part by the National Science Foundation under grant no. CCR-0133818, by the office of Naval Research under grant no. N00014-02-1-0578, and by Caltech's Lee Center for Advanced Networking.

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Identifiers

Eprint ID
93661
Resolver ID
CaltechAUTHORS:20190308-135958304

Funding

NSF
CCR-0133818
Office of Naval Research (ONR)
N00014-02-1-0578
Caltech Lee Center for Advanced Networking

Dates

Created
2019-03-08
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Updated
2021-11-16
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