Encoding and Decoding Schemes in Communication Systems using Orthogonal Coding for Noise Immunity's Increase

The objective of the paper is a development and a research of the offered by the author orthogonal coding as a way of noise immunity's increase using the example of the information communication systems with a phase-shift keying. It is shown, that the orthogonal coding allows to provide the required quality of communication with a smaller energy cost. The energy gain in signal-to-noise ratio is provided by more effective use of energy of transmitted signals with the fixed code rate, without increase in complexity and cost of transmitting/receiving schemes. The orthogonal coding is an analogue of convolutional coding over the rational numbers' field. Properties of orthogonality of proposed codes allow to strengthen significance of useful signal with simultaneous weakening of influence of AWGN. Technical realization of orthogonal coding is characterized by low complexity: on each step a decoding process is reduced to calculation of several dot products and comparison with the fixed (zero, in this case) threshold. For this reason, the offered way of coding and design of receiving and transmitting schemes can be implemented in various communication systems.