Creating orthogonal ensembles of discrete noise signals using linear transformations of special form

A system of linear transformation with maximum number of elements was created. This system allows getting the ensemble of orthogonal signals based on any non-zero signal. A method of getting real matrix representations of current transformations system for the space dimensions, which are powers of two, is represented. Those transformations proposed to be used while creating a code division multiple access communication system, which are based on autocorrelation reception of noisy signals.