Chaotic maps generating white noise

Some one-dimensional chaotic maps having delta-autocorrelation function are considered. New examples of exact endomophisms generating discrete white noise for a continuous range of a parameter are obtained. They may be treated as generalizations of the Chebyshev polynomial T/sub 2/(x), x /spl epsi/ (-1,1) of the first kind. The using such difference equations may be preferable to construct chaotic generators of pseudorandom sequences.