RESEARCH OF SOME PROPERTIES OF ALPHABETS BASED ON MUTUALLY ORTHOGONAL BROADBAND SIGNALS

Abstract

The paper presents preliminary studies and analysis of some properties of alphabets built on the basis of the broadband signal symbols. We study the broadband signal alphabets characters and separate broadband signal symbols. The subject of research includes research methods of synthesis and analysis for broadband radio signals. The synthesis method is formulated for orthogonal alphabets on the basis of signal broadband symbols. The analysis of some statistical characteristics of broadband symbols and messages is performed. It is shown that the distribution of amplitude values of mutually orthogonal signals and messages on their basis has the form of Gauss distribution. The parameter is determined that affects the correlation properties of alphabets of broadband signal symbols. The studies have shown that the characteristics of the correlation function depend on the relative frequency band occupied by the signal broadband symbols. We made estimation and comparison with the theoretical model of the error probability in the channel with additive white Gaussian noise while the use of signal broadband symbols. The simulation results agree with the theoretical expectations and do not exceed the theoretical limit of the error probability. The rate estimation of the information transfer by alphabets built on the basis of orthogonal signal broadband characters is performed. The rate estimation shows significant potential and opportunities of the information seal, especially, with the increase in the relative frequency band occupied by the broadband signal symbols.

Keywords

• broadband radio communication
• ultra-wideband radio communication
• analysis
• design
• orthogonal signals
• radio steganography