Moment-based Parameter Estimation for ${\Gamma}$-parameterized TWDP Model

TL;DR

This paper introduces a new parameterization for the TWDP fading model using a parameter Gamma, addressing issues with the traditional K and Delta parameters, and develops moment-based estimators that outperform previous methods.

Contribution

The paper proposes a novel Gamma-based parameterization for TWDP and derives moment-based estimators that overcome limitations of the conventional K and Delta parameters.

Findings

Gamma-based estimators outperform traditional ones in accuracy.

The new parameterization reduces anomalies in TWDP estimation.

Asymptotic variance and CRB analyses validate the improved estimators.

Abstract

In this paper, parameterization of a two-wave with diffuse power (TWDP) fading model is revised. Anomalies caused by using conventional TWDP parameters $K$ and $\Delta$ are first identified, indicating that the existing moment-based estimators of a tuple $(K, \Delta)$ are not able to provide accurate estimations for various combinations of their values. Therefore, a moment-based estimators for a newly proposed parameters $K$ and $\Gamma$ are derived and analyzed through asymptotic variance (AsV) and Cramer-Rao bound (CRB) metrics. The results are qualitatively compared to those obtained for a $(K, \Delta)$ tuple, showing that moment-based estimators of the improved $\Gamma$-based parameterization managed to overcome all anomalies observed within the conventional TWDP parameterization.