Matlab animations

Visualizing Sound Wave Propagation and Time Delay Estimation

code: https://github.com/pmarmaroli/matlab-animation/blob/main/sound_source_localization_tdoa_two_mics.m

video: https://www.youtube.com/watch?v=gUbjNSG2UK4

This animation beautifully demonstrates the fundamental physics of sound waves and their detection, highlighting how differences in wave arrival times can be used for localization.

Key Physics Concepts

• Wave Propagation: the animation shows how sound waves travel through the air at a constant speed (343 m/s).
• Hyperbolic Localization: the green line represents a hyperbola, indicating all possible positions of the sound source based on the time difference of arrival (TDOA) at the two microphones.
• Triangulation: while two microphones can narrow down the source to a hyperbolic line, a third microphone would be needed to precisely locate the exact position.

Visualizing Time Delay Estimation with GCC-PHAT and Cross-Correlation

code: https://github.com/pmarmaroli/matlab-animation/blob/main/time_delay_estimation_xcorr_vs_gccphat.m

video: https://youtu.be/wQo50Ot2UOw

This tutorial covers the implementation of the GCC-PHAT algorithm, adding noise, and creating an animated GIF to demonstrate the results.