Encoding and decoding devices’ design for code division of channels

This research introduces an innovative set of mathematical methods for efficient code division multiplexing in communication channels, specifically designed for space and satellite systems. The approach utilizes carefully constructed pairs of orthogonal matrices for encoding and decoding operations, with components consisting of polynomials and integers that satisfy specific mathematical relationships. The paper demonstrates comprehensive principles for developing encoding schemes that perform code channel combining at the transmitter and corresponding arithmetic division of these channels at the receiver side. The also paper provides detailed implementation examples, including circuit diagrams and mathematical validation of the proposed techniques. The method significantly reduces the complexity of encoding and decoding devices used in space and satellite communication systems, offering advantages in transmission speed, noise immunity, and compatibility with domestic components while maintaining system reliability. Performance analysis confirms that this methodology achieves accurate information recovery with minimal processing delay, making it particularly suitable for applications requiring efficient bandwidth utilization and streamlined hardware implementation