Nearest Neighbor Decoding and Pilot-Aided Channel Estimation for Fading Channels

Asyhari, A. Taufiq and Koch, Tobias and Guillén i Fàbregas, Albert Guillén i (2020) Nearest Neighbor Decoding and Pilot-Aided Channel Estimation for Fading Channels. Entropy, 22 (9). e971. ISSN 1099-4300

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Abstract

We study the information rates of noncoherent, stationary, Gaussian, and multiple-input multiple-output (MIMO) flat-fading channels that are achievable with nearest neighbor decoding and pilot-aided channel estimation. In particular, we investigate the behavior of these achievable rates in the limit as the signal-to-noise ratio (SNR) tends to infinity by analyzing the capacity pre-log, which is defined as the limiting ratio of the capacity to the logarithm of the SNR as the SNR tends to infinity. We demonstrate that a scheme estimating the channel using pilot symbols and detecting the message using nearest neighbor decoding (while assuming that the channel estimation is perfect) essentially achieves the capacity pre-log of noncoherent multiple-input single-output flat-fading channels, and it essentially achieves the best so far known lower bound on the capacity pre-log of noncoherent MIMO flat-fading channels. Extending the analysis to fading multiple-access channels reveals interesting relationships between the number of antennas and Doppler bandwidth in the comparative performance of joint transmission and time division multiple-access.

Item Type: Article
Additional Information: ** From MDPI via Jisc Publications Router ** History: accepted 26-08-2020; pub-electronic 31-08-2020. ** Licence for this article: https://creativecommons.org/licenses/by/4.0/
Identification Number: https://doi.org/10.3390/e22090971
Dates:
DateEvent
26 August 2020Accepted
31 August 2020Published
Uncontrolled Keywords: achievable rates, fading, high signal-to-noise ratio (SNR), mismatched decoding, multiple-access channels, multiple antennas, nearest neighbor decoding, noncoherent, pilot-aided channel estimation
Subjects: CAH11 - computing > CAH11-01 - computing > CAH11-01-01 - computer science
Divisions: Faculty of Computing, Engineering and the Built Environment > School of Computing and Digital Technology
SWORD Depositor: JISC PubRouter
Depositing User: JISC PubRouter
Date Deposited: 10 Sep 2020 10:11
Last Modified: 12 Jan 2022 12:53
URI: https://www.open-access.bcu.ac.uk/id/eprint/9802

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