Low-SNR capacity of noncoherent fading channels

Vignesh Sethuraman; Ligong Wang; Bruce Hajek; Amos Lapidoth

doi:10.1109/TIT.2009.2012995

Low-SNR capacity of noncoherent fading channels

Vignesh Sethuraman, Ligong Wang, Bruce Hajek, Amos Lapidoth

Research output: Contribution to journal › Article › peer-review

Abstract

Discrete-time Rayleigh-fading single-input single-output (SISO) and multiple-input multiple-output (MIMO) channels are considered, with no channel state information at the transmitter or the receiver. The fading is assumed to be stationary and correlated in time, but independent from antenna to antenna. Peak-power and average-power constraints are imposed on the transmit antennas. For MIMO channels, these constraints are either imposed on the sum over antennas, or on each individual antenna. For SISO channels and MIMO channels with sum power constraints, the asymptotic capacity as the peak signal-to-noise ratio (SNR) goes to zero is identified; for MIMO channels with individual power constraints, this asymptotic capacity is obtained for a class of channels called transmit separable channels. The results for MIMO channels with individual power constraints are carried over to SISO channels with delay spread (i.e., frequency-selective fading).

Original language	English (US)
Pages (from-to)	1555-1574
Number of pages	20
Journal	IEEE Transactions on Information Theory
Volume	55
Issue number	4
DOIs	https://doi.org/10.1109/TIT.2009.2012995
State	Published - 2009

Keywords

Channel capacity
Correlated fading
Frequencyselective fading
Low signal-to-noise ratio (SNR)
Multiple-input multiple-output (MIMO)

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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title = "Low-SNR capacity of noncoherent fading channels",

abstract = "Discrete-time Rayleigh-fading single-input single-output (SISO) and multiple-input multiple-output (MIMO) channels are considered, with no channel state information at the transmitter or the receiver. The fading is assumed to be stationary and correlated in time, but independent from antenna to antenna. Peak-power and average-power constraints are imposed on the transmit antennas. For MIMO channels, these constraints are either imposed on the sum over antennas, or on each individual antenna. For SISO channels and MIMO channels with sum power constraints, the asymptotic capacity as the peak signal-to-noise ratio (SNR) goes to zero is identified; for MIMO channels with individual power constraints, this asymptotic capacity is obtained for a class of channels called transmit separable channels. The results for MIMO channels with individual power constraints are carried over to SISO channels with delay spread (i.e., frequency-selective fading).",

keywords = "Channel capacity, Correlated fading, Frequencyselective fading, Low signal-to-noise ratio (SNR), Multiple-input multiple-output (MIMO)",

author = "Vignesh Sethuraman and Ligong Wang and Bruce Hajek and Amos Lapidoth",

note = "Funding Information: Manuscript received December 14, 2007. Current version published March 18, 2009. This work was supported in part by the National Science Foundation under Grant NSF ITR 00-85929, and the Motorola Center for Communication Graduate Fellowship. The material in this paper was presented in part at the IEEE International Symposium on Information Theory (ISIT), Seattle, WA,July 2006 and the IEEE International Symposium on Information Theory (ISIT), Nice, France, June 2007. This work was conducted while V. Sethuraman was at the University of Illinois at Urbana-Champaign. V. Sethuraman is with Qualcomm, Santa Clara, CA 95051 USA. .",

year = "2009",

doi = "10.1109/TIT.2009.2012995",

language = "English (US)",

volume = "55",

pages = "1555--1574",

journal = "IEEE Transactions on Information Theory",

issn = "0018-9448",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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AU - Sethuraman, Vignesh

AU - Wang, Ligong

AU - Hajek, Bruce

AU - Lapidoth, Amos

N1 - Funding Information: Manuscript received December 14, 2007. Current version published March 18, 2009. This work was supported in part by the National Science Foundation under Grant NSF ITR 00-85929, and the Motorola Center for Communication Graduate Fellowship. The material in this paper was presented in part at the IEEE International Symposium on Information Theory (ISIT), Seattle, WA,July 2006 and the IEEE International Symposium on Information Theory (ISIT), Nice, France, June 2007. This work was conducted while V. Sethuraman was at the University of Illinois at Urbana-Champaign. V. Sethuraman is with Qualcomm, Santa Clara, CA 95051 USA. .

PY - 2009

Y1 - 2009

N2 - Discrete-time Rayleigh-fading single-input single-output (SISO) and multiple-input multiple-output (MIMO) channels are considered, with no channel state information at the transmitter or the receiver. The fading is assumed to be stationary and correlated in time, but independent from antenna to antenna. Peak-power and average-power constraints are imposed on the transmit antennas. For MIMO channels, these constraints are either imposed on the sum over antennas, or on each individual antenna. For SISO channels and MIMO channels with sum power constraints, the asymptotic capacity as the peak signal-to-noise ratio (SNR) goes to zero is identified; for MIMO channels with individual power constraints, this asymptotic capacity is obtained for a class of channels called transmit separable channels. The results for MIMO channels with individual power constraints are carried over to SISO channels with delay spread (i.e., frequency-selective fading).

AB - Discrete-time Rayleigh-fading single-input single-output (SISO) and multiple-input multiple-output (MIMO) channels are considered, with no channel state information at the transmitter or the receiver. The fading is assumed to be stationary and correlated in time, but independent from antenna to antenna. Peak-power and average-power constraints are imposed on the transmit antennas. For MIMO channels, these constraints are either imposed on the sum over antennas, or on each individual antenna. For SISO channels and MIMO channels with sum power constraints, the asymptotic capacity as the peak signal-to-noise ratio (SNR) goes to zero is identified; for MIMO channels with individual power constraints, this asymptotic capacity is obtained for a class of channels called transmit separable channels. The results for MIMO channels with individual power constraints are carried over to SISO channels with delay spread (i.e., frequency-selective fading).

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