Optimal Detection in Training Assisted SIMO Systems with Phase Noise Impairments

TL;DR

This paper derives optimal detection rules for SIMO systems affected by phase noise, revealing how phase noise impacts error floors differently in synchronous and non-synchronous modes, with implications for system design.

Contribution

It provides the first comprehensive analysis of optimal detection in SIMO systems with phase noise, including general noise models and error floor characterization.

Findings

Phase noise causes an SER floor in both operation modes.

In synchronous mode, the SER floor is independent of the number of antennas.

In non-synchronous mode, increasing antennas exponentially reduces the SER floor.

Abstract

In this paper, the problem of optimal maximum likelihood detection in a single user single-input multiple-output (SIMO) channel with phase noise at the receiver is considered. The optimal detection rules under training are derived for two operation modes, namely when the phase increments are fully correlated among the $M$ receiver antennas (synchronous operation) and when they are independent (non-synchronous operation). The phase noise increments are parameterized by a very general distribution, which includes the Wiener phase noise model as a special case. It is proven that phase noise creates a symbol-error-rate (SER) floor for both operation modes. In the synchronous operation this error floor is independent of $M$, while it goes to zero exponentially with $M$ in the non-synchronous operation.