Synthesis method for alphabets of orthogonal signaling broadband communications

Abstract

Subject of Research. A synthesis method for alphabets of orthogonal signal broadband messages is developed. An example of software implementation is given. The analysis of some particular and general properties of the synthesized mutually orthogonal signal broadband symbols and alphabets formed on their basis is carried out. Method. The method is based on the generation of pseudo-random N-dimensional vectors of their orthogonalization by the Gram-Schmidt method and subsequent transformation of the resulting orthonormal vectors into the corresponding frequency spectra according to predetermined rules. The spectra represent images of the desired orthonormal broadband signals in the frequency space. The result of the final synthesis is obtained during the inverse Fourier transform. Main Results. The paper presents an example of possible method program implementation in MATLAB language of computer mathematics system. It is shown that the obtained alphabets of orthogonal signal broadband messages have high correlation properties and can be applied in communication systems, in which stable recognition of signal messages at low signal-to-noise ratios is necessary. Synthesis of signal symbols in the frequency domain makes it possible to monitor effectively the signal spectrum, carry out the frequency transfer, create systems with frequency tuning, including pseudo-random modification, used to organize protected communication channels. Practical Relevance. High correlation properties of the received signal symbols provide the possibility of application in systems of multiple access with parallel use of the common frequency-time resource, realizing steganographic communication channels due to concealment of useful signal in the radio noise, and limited power of transmitting devices.