  In this work, we consider linear-feedback schemes for the two-user Gaussian
broadcast channel with noiseless feedback. We extend the transmission scheme of
[Ozarow and Leung, 1984] by applying estimators with memory instead of the
memoryless estimators used by Ozarow and Leung (OL) in their original work. A
recursive formulation of the mean square errors achieved by the proposed
estimators is provided, along with a proof for the existence of a fixed point.
This enables characterizing the achievable rates of the extended scheme.
Finally, via numerical simulations it is shown that the extended scheme can
improve upon the original OL scheme in terms of achievable rates, as well as
achieve a low probability of error after a finite number of channel uses.
