Aspects of Synthesis of Quasi-Orthogonal Code Sequence Sets Using Walsh Functions

In the present work, a number of key aspects of the synthesis process of a set of quasi-orthogonal code binary sequences based on multiplicative compositions of optimal binary code sequences and a subset of Walsh orthogonal functions are developed and proposed. In particular, analytical expressions are proposed for estimating the parameters of periodic auto- and cross-correlation functions of quasi-orthogonal code binary sequences as a function of the structure parameters of the implemented binary sequences. From the obtained analytical expressions, the requirements to the structure of the implemented binary sequences are formulated. The simulation results of the procedure for extracting subsets of implemented binary sequences based on a system of Walsh orthogonal functions are given, examples of specific distinguished subsets that satisfy the above requirements.