Nearest Neighbour Decoding and Pilot-Aided Channel Estimation in Stationary Gaussian Flat-Fading Channels

TL;DR

This paper analyzes the achievable information rates of non-coherent MIMO flat-fading channels using nearest neighbor decoding and pilot-aided channel estimation, especially at high SNR, showing they attain the capacity pre-log.

Contribution

It demonstrates that these methods achieve the capacity pre-log of non-coherent MISO channels and provide the best known lower bound for MIMO channels at high SNR.

Findings

Achieves the capacity pre-log of non-coherent MISO channels.

Provides the best known lower bound on the capacity pre-log of non-coherent MIMO channels.

Analyzes the behavior of achievable rates as SNR tends to infinity.

Abstract

We study the information rates of non-coherent, stationary, Gaussian, multiple-input multiple-output (MIMO) flat-fading channels that are achievable with nearest neighbour decoding and pilot-aided channel estimation. In particular, we analyse the behaviour of these achievable rates in the limit as the signal-to-noise ratio (SNR) tends to infinity. We demonstrate that nearest neighbour decoding and pilot-aided channel estimation achieves the capacity pre-log - which is defined as the limiting ratio of the capacity to the logarithm of SNR as the SNR tends to infinity - of non-coherent multiple-input single-output (MISO) flat-fading channels, and it achieves the best so far known lower bound on the capacity pre-log of non-coherent MIMO flat-fading channels.