This paper analyzes the ergodic capacity of the MIMO multi-keyhole channel, assuming that the channel state information (CSI) is available only at the receiver. We first derive new closed-form expressions for marginal probability density function (pdf) of the single unordered eigenvalue as well as joint pdf of ordered eigenvalues of the channel matrix in a simple and general framework. With these statistical results, we then present an exact closed-form expression for the ergodic capacity. We analyze tight bounds on the exact capacity and propose a new tight lower bound. We also investigate the asymptotic capacity performances in low-signal-to-noise-ratio (SNR) and high-SNR regimes to gain further insights. All our results apply for arbitrary number of keyholes and antennas. Numerical simulations are presented to validate our theoretical analysis.
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Xiaoyi LIU, Xin ZHANG, Haochuan ZHANG, Dacheng YANG, "Ergodic Capacity Analysis of MIMO Multi-Keyhole Channel in Rayleigh Fading" in IEICE TRANSACTIONS on Communications,
vol. E93-B, no. 2, pp. 353-360, February 2010, doi: 10.1587/transcom.E93.B.353.
Abstract: This paper analyzes the ergodic capacity of the MIMO multi-keyhole channel, assuming that the channel state information (CSI) is available only at the receiver. We first derive new closed-form expressions for marginal probability density function (pdf) of the single unordered eigenvalue as well as joint pdf of ordered eigenvalues of the channel matrix in a simple and general framework. With these statistical results, we then present an exact closed-form expression for the ergodic capacity. We analyze tight bounds on the exact capacity and propose a new tight lower bound. We also investigate the asymptotic capacity performances in low-signal-to-noise-ratio (SNR) and high-SNR regimes to gain further insights. All our results apply for arbitrary number of keyholes and antennas. Numerical simulations are presented to validate our theoretical analysis.
URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.E93.B.353/_p
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@ARTICLE{e93-b_2_353,
author={Xiaoyi LIU, Xin ZHANG, Haochuan ZHANG, Dacheng YANG, },
journal={IEICE TRANSACTIONS on Communications},
title={Ergodic Capacity Analysis of MIMO Multi-Keyhole Channel in Rayleigh Fading},
year={2010},
volume={E93-B},
number={2},
pages={353-360},
abstract={This paper analyzes the ergodic capacity of the MIMO multi-keyhole channel, assuming that the channel state information (CSI) is available only at the receiver. We first derive new closed-form expressions for marginal probability density function (pdf) of the single unordered eigenvalue as well as joint pdf of ordered eigenvalues of the channel matrix in a simple and general framework. With these statistical results, we then present an exact closed-form expression for the ergodic capacity. We analyze tight bounds on the exact capacity and propose a new tight lower bound. We also investigate the asymptotic capacity performances in low-signal-to-noise-ratio (SNR) and high-SNR regimes to gain further insights. All our results apply for arbitrary number of keyholes and antennas. Numerical simulations are presented to validate our theoretical analysis.},
keywords={},
doi={10.1587/transcom.E93.B.353},
ISSN={1745-1345},
month={February},}
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TY - JOUR
TI - Ergodic Capacity Analysis of MIMO Multi-Keyhole Channel in Rayleigh Fading
T2 - IEICE TRANSACTIONS on Communications
SP - 353
EP - 360
AU - Xiaoyi LIU
AU - Xin ZHANG
AU - Haochuan ZHANG
AU - Dacheng YANG
PY - 2010
DO - 10.1587/transcom.E93.B.353
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E93-B
IS - 2
JA - IEICE TRANSACTIONS on Communications
Y1 - February 2010
AB - This paper analyzes the ergodic capacity of the MIMO multi-keyhole channel, assuming that the channel state information (CSI) is available only at the receiver. We first derive new closed-form expressions for marginal probability density function (pdf) of the single unordered eigenvalue as well as joint pdf of ordered eigenvalues of the channel matrix in a simple and general framework. With these statistical results, we then present an exact closed-form expression for the ergodic capacity. We analyze tight bounds on the exact capacity and propose a new tight lower bound. We also investigate the asymptotic capacity performances in low-signal-to-noise-ratio (SNR) and high-SNR regimes to gain further insights. All our results apply for arbitrary number of keyholes and antennas. Numerical simulations are presented to validate our theoretical analysis.
ER -