%0 Journal Article
%T On Powers of Gaussian White Noise
%A A. V. Balakrishnan
%A Ravi R. Mazumdar
%J Mathematics
%D 2010
%I arXiv
%R 10.1109/TIT.2011.2158062
%X Classical Gaussian white noise in communications and signal processing is viewed as the limit of zero mean second order Gaussian processes with a compactly supported flat spectral density as the support goes to infinity. The difficulty of developing a theory to deal with nonlinear transformations of white noise has been to interpret the corresponding limits. In this paper we show that a renormalization and centering of powers of band-limited Gaussian processes is Gaussian white noise and as a consequence, homogeneous polynomials under suitable renormalization remain white noises.
%U http://arxiv.org/abs/1010.2992v1