Linear Shrinkage Receiver for Slow Fading Channels under Imperfect Channel State Information

This paper studies receiver design in single-input multiple-output (SIMO) slow fading channels with imperfect channel state information (CSI) at the receiver only. Using generalized mutual information (GMI) as achievable rate, we study the outage behavior when the receiver employs certain generalize...

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Bibliographic Details
Published in2022 IEEE Information Theory Workshop (ITW) pp. 338 - 343
Main Authors Shi, Wenyi, Pang, Shuqin, Zhang, Wenyi
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.11.2022
Subjects
Behavioral sciences
Conferences
Fading channels
Power system reliability
Probability distribution
Receiving antennas
SIMO communication
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Summary:This paper studies receiver design in single-input multiple-output (SIMO) slow fading channels with imperfect channel state information (CSI) at the receiver only. Using generalized mutual information (GMI) as achievable rate, we study the outage behavior when the receiver employs certain generalized form of the nearest neighbor decoding rule. Our study reveals that linearly shrinking the linear minimum mean-squared error (LMMSE) estimate of the CSI reduces the outage probability when the number of receive antennas is finite. Only in the asymptotic regime where the number of receive antennas grows without bound, the LMMSE estimate of the CSI minimizes the outage probability. Numerical results demonstrate that the proposed linear shrinkage receiver achieves evident outage probability reduction.
DOI:10.1109/ITW54588.2022.9965802