Generation of Commonly Used Pseudo-Random Signals: Gold Sequences and M-Sequences

In communication system simulations, pseudo-random signals are commonly used for modeling purposes. This source code file includes two frequently used pseudo-random signal generation methods: Gold sequence generation and M-sequence generation. The program is clearly structured with detailed explanatory comments. To provide more comprehensive information, we can add background context and application scenarios for pseudo-random signals. Pseudo-random signals are specialized signals used in communication systems that exhibit randomness while maintaining reproducible characteristics. In communication systems, they are widely applied in channel coding, signal modulation, and signal detection. The implementation utilizes Linear Feedback Shift Registers (LFSRs) with specific polynomial configurations to generate base M-sequences, while Gold sequences are created through modulo-2 addition of preferred pairs of M-sequences with carefully selected phase shifts. By employing pseudo-random signals, engineers can simulate real-world random signal behaviors and evaluate/optimize system performance through correlation analysis and synchronization testing algorithms.