Comprehensive Pseudo-Random Code Generators for m-Sequences, Gold Sequences, Kasami Sequences, and OVSF Codes

This document describes several pseudo-random code generators based on different generator polynomials, including m-sequences, Gold sequences, Kasami sequences, and OVSF codes, which have extensive applications in communication systems. Each generator employs specific implementation approaches: m-sequences utilize linear feedback shift registers (LFSRs) with primitive polynomials, Gold sequences combine two preferred-pair m-sequences using XOR operations, Kasami sequences employ optimized decimation techniques for enhanced cross-correlation properties, while OVSF codes implement orthogonal variable spreading factors through recursive tree structure generation. Although each pseudo-random code generator has its respective advantages and limitations, their common characteristic lies in their ability to generate pseudo-random code sequences suitable for communication systems. These sequences typically feature implementations using LFSR configurations, correlation property optimizations, and orthogonal code generation algorithms. By utilizing these pseudo-random code sequences, critical communication functions can be achieved, including code division multiple access (CDMA) technology and spread spectrum communications, where the codes serve as spreading sequences with specific autocorrelation and cross-correlation properties.