Introduction to Microphone Array Beamforming: MATLAB Tutorial Series

"Explore microphone array beamforming techniques in this MATLAB tutorial series by Pouyan Ebrahimbabaie from the Laboratory for Signal and Image Exploitation at the University of Liège, Belgium. Learn about acoustic array geometry, signal processing, time-delay beamforming, and more to enhance audio techniques. Discover how to process sound signals from a microphone array, apply corrections, filter, and analyze the output with and without beamforming."

• Microphone Array
• Beamforming
• MATLAB Tutorial
• Acoustic Array Geometry
• Signal Processing

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1. Microphone array beamforming MATLAB tutorial series (Part 1) Pouyan Ebrahimbabaie Laboratory for Signal and Image Exploitation (INTELSIG) Dept. of Electrical Engineering and Computer Science University of Li ge Li ge, Belgium Introduction to audio and video techniques (ELEN0002-2) November 2020

2. Contacts Email: P.Ebrahimbabaie@ulg.ac.be Office: R81 a Tel: +32 (0) 436 66 37 53 Web: http://www.montefiore.ulg.ac.be/ ~ebrahimbabaie/ 2

3. Acoustic array geometry

4. ? ? Mic 1 Mic 16

5. ? ? Mic 1 Mic 16 0.07 m

6. ? Sound source Azimuth: ? Elevation: ? ? Mic 1 Mic 16 0.07 m

7. ? ? 0.07 m

8. Part 1: beamforming

9. Voice Azimuth: 90 Elevation: 0 ? Noise source Azimuth: 180 Elevation: 0 0.07 m

10. ? 16 x mic. Sound card 16 x .wav Read 16 x .wav s into a single matrix sigArray (N x 16) sigArray (N x 16) Multiply each column by its corresponding correction coefficient Corrected sigArray Filter sigArray with a bandpass filter (300 Hz 3400 Hz) Filtered sigArray Play an arbitrary column Apply time-delay beamforming on sigArray Play the output signal Output signal (N x 1) Compare two signals (with and without beamforming)

11. ? 16 x mic. Sound card 16 x .wav Read 16 x .wav s into a single matrix sigArray (N x 16) sigArray (N x 16) Multiply each column by its corresponding correction coefficient Corrected sigArray Filter sigArray with a bandpass filter (300 Hz 3400 Hz) Filtered sigArray Play an arbitrary column Apply time-delay beamforming on sigArray Play the output signal Output signal (N x 1) Compare two signals (with and without beamforming)

12. ? 16 x mic. Sound card 16 x .wav Read 16 x .wav s into a single matrix sigArray (N x 16) sigArray (N x 16) Multiply each column by its corresponding correction coefficient Corrected sigArray Filter sigArray with a bandpass filter (300 Hz 3400 Hz) Filtered sigArray Play an arbitrary column Apply time-delay beamforming on sigArray Play the output signal Output signal (N x 1) Compare two signals (with and without beamforming)

13. ? 16 x mic. Sound card 16 x .wav Read 16 x .wav s into a single matrix sigArray (N x 16) sigArray (N x 16) Multiply each column by its corresponding correction coefficient Corrected sigArray Filter sigArray with a bandpass filter (300 Hz 3400 Hz) Filtered sigArray Play an arbitrary column Apply time-delay beamforming on sigArray Play the output signal Output signal (N x 1) Compare two signals (with and without beamforming)

14. ? 16 x mic. Sound card 16 x .wav Read 16 x .wav s into a single matrix sigArray (N x 16) sigArray (N x 16) Multiply each column by its corresponding correction coefficient Corrected sigArray Filter sigArray with a bandpass filter (300 Hz 3400 Hz) Filtered sigArray Play an arbitrary column Apply time-delay beamforming on sigArray Play the output signal Output signal (N x 1) Compare two signals (with and without beamforming)

15. ? 16 x mic. Sound card 16 x .wav Read 16 x .wav s into a single matrix sigArray (N x 16) sigArray (N x 16) Multiply each column by its corresponding correction coefficient Corrected sigArray Filter sigArray with a bandpass filter (300 Hz 3400 Hz) Filtered sigArray Play an arbitrary column Apply time-delay beamforming on sigArray Play the output signal Output signal (N x 1) Compare two signals (with and without beamforming)

16. ? 16 x mic. Sound card 16 x .wav Read 16 x .wav s into a single matrix sigArray (N x 16) sigArray (N x 16) Multiply each column by its corresponding correction coefficient Corrected sigArray Filter sigArray with a bandpass filter (300 Hz 3400 Hz) Filtered sigArray Play an arbitrary column Apply time-delay beamforming on sigArray Play the output signal Output signal (N x 1) Compare two signals (with and without beamforming)

17. Part 2: finding the DOA Not included for 2020!

18. ? Sound source Azimuth: ? Elevation: 0 Direction Of Arrival: ? ? 0.07 m

19. Example: beamforming

20. ?

21. ?

22. ?

23. ?

24. ? Steer angle Azimuth: 90 Elevation: 0

25. ? Steer angle Azimuth: 180 Elevation: 0

26. ? Steer angle Azimuth: -30 Elevation: 0

27. Useful links https://nl.mathworks.com/help/phase d/ug/acoustic-beamforming-using-a- microphone-array.html https://nl.mathworks.com/help/phase d/direction-of-arrival-doa-estimation- 1.html https://people.montefiore.uliege.be/e brahimbabaie/applieddigtial_fichiers/ TPS/TP2/Final/Slides/Powerline%20n oise%20elimination.pdf 27