Simulation Program for Wideband Time-Delay Beamforming

This simulation program for wideband time-delay beamforming serves as a practical and accessible tool, particularly suitable for educational purposes and beginners. The implementation typically involves calculating precise time delays for each array element using interpolation methods or fractional delay filters to handle broadband signals effectively. Key functions include signal generation modules, delay computation algorithms, and beam pattern visualization routines. Through adjustable parameters such as source direction, bandwidth, and array geometry, users can observe real-time changes in beamforming performance and directivity patterns. The simulation helps demonstrate fundamental concepts including steering vector calculation, frequency-independent beamforming, and spatial filtering characteristics across different frequency components. The code structure usually separates core functionalities into modular components: signal preprocessing, delay estimation, beamformer weighting, and output analysis. This organization allows easy modification and experimentation with different array configurations and signal scenarios. Algorithm implementations often include efficient FFT-based processing for broadband signals and proper handling of group delays across the operating bandwidth. Whether for academic research or practical applications, this simulation provides valuable insights into beamforming performance metrics such as mainlobe width, sidelobe levels, and beam squint effects across frequency. The program's educational design makes it an excellent resource for both beginners learning beamforming fundamentals and professionals verifying theoretical concepts through practical simulation.