We propose an efficient scheme to transmit information over a Z Gaussian interference channel. The scheme uses the concept of water filling to provide optimal power sharing among orthogonal dimensions. The model under investigation is an one-sided Gaussian interference channel with interference parameter a in the range (0,1), which can be recast as a degraded Gaussian interference channel. In the proposed solution, the notion of noisebergs (noise icebergs) arises, where noise power floats above signal power in a water filling representation of the problem, providing an improved allocation of power and degrees of freedom. The solution is best characterized by a graphical representation in the frequency domain. © 2011 IEEE. 7176Te Sun, H., Kingo, K., New achievable rate region for the interference channel (1981) IEEE Transactions on Information Theory, IT-27 (1), pp. 49-60Costa, M.H.M., On the gaussian interference channel (1985) IEEE Trans. Inform. Theory, 31, pp. 607-615. , SeptHiroshi, S., On degraded gaussian two-user channels (1978) IEEE Transactions on Information Theory, IT-24 (5), pp. 637-640Sason, I., On achievable rate regions for the gaussian interference channel (2004) IEEE Trans. Inform. Theory, 50, pp. 1345-1356. , JuneCover, T.M., Broadcast channels (1972) IEEE Trans. Inform. Theory, 18, pp. 2-14. , Jan