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Nearest Neighbor Decoding and Pilot-AidedChannel Estimation for Fading Channels

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Asyhari, A. Taufiq 
Guillén i Fàbregas, Albert Guillén i  ORCID logo


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.



achievable rates, fading, high signal-to-noise ratio (SNR), mismatched decoding, multiple-access channels, multiple antennas, nearest neighbor decoding, noncoherent, pilot-aided channel estimation

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University of Cambridge (Yousef Jameel Scholarship)