Sound Source Localization Simulation Using Cross-Power Spectrum Method

In this document, we implement a sound source localization simulation using the cross-power spectrum method. The algorithm involves calculating phase differences between signals received by multiple microphones through Fourier transforms and cross-correlation analysis. Through this approach, we obtained significant simulation results demonstrating that the cross-power spectrum method can accurately determine sound source positions with high resolution. This technique proves particularly valuable for various applications including wireless communication systems, radar arrays, and acoustic monitoring. The simulation implementation typically involves MATLAB or Python code for signal processing, where key functions include fft() for Fourier analysis and xcorr() for cross-correlation calculations. By conducting these simulations, we gain deeper insights into the properties of cross-power spectrum and its practical applications in source localization. This work provides substantial opportunities for further research and improvement in localization technologies, particularly in optimizing array geometry configurations and signal processing algorithms for enhanced accuracy.