Phase Shift Beamforming Simulation with 24-Element Array

In underwater acoustic signal processing, beamforming technology serves as a critical technique widely applied in sonar systems, marine exploration, and underwater communication. To facilitate in-depth research and practical applications of beamforming, we have developed a sophisticated phase shift beamforming simulation program. The core algorithm implements precise phase adjustments across 24 array elements, calculating optimal delay profiles to steer beams across 181 distinct directions. This simulation framework employs vectorized operations for efficient beam pattern computation, utilizing matrix multiplication techniques to handle complex signal interactions. The system provides comprehensive parameter customization capabilities, including array element count adjustment through configuration files, beam angle specifications (ranging from -90 to +90 degrees), and amplitude control for realistic signal strength simulation. Key functions include beam weight calculation using phase shift vectors, direction-of-arrival estimation algorithms, and interactive visualization tools for beam pattern analysis. With its modular architecture, users can easily modify sensor spacing parameters, signal frequency ranges, and environmental conditions to match specific underwater scenarios. This phase shift beamforming simulation program represents a powerful, user-friendly tool that significantly enhances the efficiency and accuracy of underwater acoustic signal processing through realistic digital simulation and comprehensive analytical capabilities.