Simulink Simulation Program for Bluetooth Frequency Hopping System

This MATLAB Simulink simulation demonstrates the frequency hopping selection scheme used in Bluetooth systems. While we specifically simulate the 79-hop system in connection state, the implementation can be extended to 23-hop systems through parameter modification. The simulation encapsulates Bluetooth's core hopping mechanism where the hop sequence is generated using a pseudo-random algorithm that combines the master device's clock bits and MAC address. The program first models the connection establishment phase, then implements the frequency hopping selection algorithm through Simulink blocks representing the frequency selection kernel, clock input processing, and XOR-based permutation operations. Key components include the hop selection logic block that calculates next frequency channels using the formula: f(k) = [f(k-1) + hop increment] mod 79. We conduct multiple simulation experiments to validate the scheme's performance under different interference scenarios, analyzing results through spectrum analyzers and BER measurements. The simulation also investigates limitations in collision probability and proposes enhancements including adaptive channel masking and hybrid hopping patterns. This comprehensive simulation provides researchers with valuable insights into Bluetooth's frequency hopping mechanism and serves as a foundation for developing improved wireless communication protocols.