MATLAB Implementation of Cyclic Theory for Rolling Bearing Simulation Signals with Noise Interference

The cyclic theory-related MATLAB programs described in this paper can be used to generate rolling bearing simulation signals with added noise interference. These programs implement sophisticated signal generation algorithms that model bearing characteristics through mathematical representations of cyclic stationary processes. Researchers can utilize these programs to better understand the working principles and performance characteristics of rolling bearings by simulating signals under different operating conditions. The code implementation typically includes key functions for: - Generating fundamental bearing fault frequencies based on geometric parameters - Creating amplitude-modulated signals representing bearing defects - Adding Gaussian or non-Gaussian noise with controllable signal-to-noise ratios - Implementing time-domain convolution for signal propagation effects Through these programs, users can simulate rolling bearing signals under various operational scenarios and conduct further analysis and research. The modular code structure allows for modifications and optimizations to adapt to different research objectives and requirements, such as adjusting bearing specifications, fault types, or noise characteristics. The programs provide configurable parameters for rotational speed, load conditions, and defect sizes, enabling comprehensive simulation studies. In summary, the cyclic theory-related MATLAB programs offer powerful tools and support for rolling bearing research, providing researchers with flexible, code-based solutions for signal simulation and analysis. The implementation follows cyclostationary signal processing principles, ensuring accurate representation of bearing dynamics while maintaining computational efficiency through vectorized operations and optimized algorithms.