MATLAB Source Code for Generating GCL, Gold, and m-Sequences

This text provides MATLAB source code for generating Generalized Cyclotomic Linear (GCL) sequences, Gold sequences, and m-sequences. These implementations are valuable for signal processing, encoding/decoding operations in digital communication systems, and related applications. Notably, GCL sequences find extensive applications in Code Division Multiple Access (CDMA) communication systems, while Gold sequences play crucial roles in synchronization mechanisms for wireless communication systems. Additionally, m-sequences are widely used in spread spectrum sequence technologies. The MATLAB implementations feature efficient algorithm designs using key functions like polynomial manipulation for m-sequence generation based on primitive polynomials, cross-correlation optimization for Gold sequence generation through preferred pairs of m-sequences, and cyclic shift operations for GCL sequence construction. These ready-to-use codes facilitate more convenient and efficient development of digital signal processing and communication applications, providing researchers and engineers with practical tools for sequence generation and performance analysis.