Orthogonal Basis Synthesis at a Finite Time Interval for Digital Signal Processing with Limited Spectrum
Valentin Khodakovsky, Vladislav Korotchenko · Intellectual Technologies on Transport · 2025
The problem of synthesizing an orthogonal basis for transmitting information over narrow-band communication channels in the presence of noise is considered. Purpose: to develop an orthogonal-basis finitetime synthesis method for efficient digital processing of limited-spectrum signals, with the aim of increasing the capacity of digital communication channels. To achieve this goal, the matrix method of signal synthesis and analysis, the MATLAB environment and other innovative approaches were used. Methods: theoretical analysis and computer modelling. Results: the high potential of using the finite-time orthogonal basis for synthesizing and analyzing limited-spectrum signals has been confirmed. Practical significance: improved quality of signal transmission, especially in conditions of limited bandwidth of communication channels contributing to the creation of more efficient and reliable communication systems. Discussion: makes recommendations for further improvement of the proposed basis and highlights issues requiring further research and development. This study is important for the development of railway telecommunication technologies in rail transport.