An Analysis of the Bias-Property of the Sample Auto-Correlation Matrices of Doubly Selective Fading Channels for OFDM Systems

TL;DR

This paper derives an analytical expression for the sample auto-correlation matrix in OFDM systems over doubly selective fading channels, revealing its bias property that impacts channel estimation accuracy.

Contribution

It provides the first analytical derivation of the bias property of the sample auto-correlation matrix in this context, highlighting its effect on model mismatch.

Findings

Sample auto-correlation matrix exhibits a bias property.

Bias causes model mismatch in channel estimation.

Numerical results confirm the theoretical analysis.

Abstract

This paper derives the analytic expression of the sample auto-correlation matrix from the least-squared channel estimation of doubly selective fading channels for OFDM systems. According to the expression, the sample auto-correlation matrix reveals the bias property which would cause the model mismatch and therefore deteriorate the performance of channel estimation. Numerical results demonstrate the bias property and corresponding analysis.