A general modulation model by multidimensional rotations

Many works have been devoted to find the optimum multidimensional signaling schemes in non-Gaussian channels, for example, impulsive noise channel or fading channel. In this paper a general modulation model is proposed to identify widely used modulations and to define optimum schemes. Based on this general framework, optimum schemes for non-Gaussian channels under a given set of constraints can be derived. The proposed model is based on orthonormal vectors, which are obtained by multidimensional rotations. Almost all known modulation schemes can be expressed by this model, and can be optimized against non-Gaussian channel impairments.