Rotational transformation of signals

A coding procedure based on a rotational transformation is applied to reduce the effect of non-Gaussian impulsive noise in sampled data communication systems. The method, a near relative of the smearing techniques which have been suggested recently for continuous systems, provides a new and interesting view of many accepted coding systems and their relative properties. Attention is directed toward the effect of the transformation on the amplitude distribution of signals and to the existence of signals which do not benefit from a smearing technique in respect to their resistance to isolated impulse interference. The behavior of certain nonorthogonal transformations is also discussed in contrast to the purely rotational transformations.