A Study into the Design of Steerable Microphone Arrays by Chiong Ching Lai, Sven Erik Nordholm, Yee Hong Leung

By Chiong Ching Lai, Sven Erik Nordholm, Yee Hong Leung

The e-book covers the layout formulations for broadband beamformer focusing on nearfield and farfield resources. The publication content material contains heritage info at the acoustic surroundings, together with propagation medium, the array geometries, sign versions and simple beamformer designs. thus it introduces layout formula for nearfield, farfield and combined nearfield-farfield beamformers and extends the layout formula into electronically steerable beamformers. additionally, a strong formula is brought for all of the designs mentioned.

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For mixed nearfield–farfield designs, 1 ≤ r ≤ 100 m is chosen such that both nearfield and farfield regions are covered. In these examples, the sensors are assumed to be omnidirectional microphones operating in air. For simplicity, the weighting functions are selected to be V (r, ω) = 1 and U (r, ω) = 1. The desired beamformer response Hd (r, φ, ω), which is chosen to be invariant to r, is defined as Hd (r, φ, ω) = exp −jωTS N−1 2 0 , φ ∈ Φpb , ω ∈ Ωpb . t. 3. 3 Number of uniform discretisation points for numerical evaluation of integrals Parameter Number of points Azimuth angle range, Φ Source radial distance, R 360 50 42 3 Broadband Beamformer Design 30 25 Performance error, ξLS(r) (dB) 20 15 LSnear LS 10 far LSmixed 5 0 −5 −10 0 10 1 10 Source radial distance, r (m) 2 10 Fig.

Buckley, Beamforming: a versatile approach to spatial filtering. IEEE Signal Process. Mag. 5(2), 4–24 (1988) 14. J. Dmochowski, J. Benesty, S. Affes, On spatial aliasing in microphone arrays. IEEE Trans. Signal Process. 57(4), 1383–1395 (2009) 15. A. Manikas, A. Alexiou, H. Karimi, Comparison of the ultimate direction-finding capabilities of a number of planar array geometries, in Proceedings of the IEE Radar, Sonar and Navigation, vol. 144, no. 6, Dec 1997, pp. 321–329 16. A. Sleiman, A. Manikas, The impact of sensor positioning on the array manifold.

Dmochowski, J. Benesty, S. Affes, On spatial aliasing in microphone arrays. IEEE Trans. Signal Process. 57(4), 1383–1395 (2009) 15. A. Manikas, A. Alexiou, H. Karimi, Comparison of the ultimate direction-finding capabilities of a number of planar array geometries, in Proceedings of the IEE Radar, Sonar and Navigation, vol. 144, no. 6, Dec 1997, pp. 321–329 16. A. Sleiman, A. Manikas, The impact of sensor positioning on the array manifold. IEEE Trans. Antennas Propag. 51(9), 2227–2237 (2003) 17.

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