  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.
