Cyclic Spectrum Analysis of BPSK Signals

This document provides a detailed analysis of cyclic cross-correlation functions for BPSK (Binary Phase Shift Keying) modulated signals and their corresponding cyclic spectrum representations. The cyclic cross-correlation function serves as a powerful analytical tool for investigating signal characteristics, enabling deeper understanding of signal properties through periodic correlation analysis. The cyclic spectrum diagram offers graphical visualization of signal frequency distributions, presented through both three-dimensional coordinate axis plots and two-dimensional cross-sectional slices. These visualizations facilitate comprehensive analysis of spectral components across different cyclic frequencies. Furthermore, we demonstrate the implementation of efficient algorithms for processing these signals, including computational methods for calculating cyclic statistics and spectral correlation density functions. These algorithms employ optimized FFT-based approaches and matrix operations to handle complex signal processing tasks, providing robust analytical capabilities for characterizing BPSK signal properties in practical applications.