By Chiong Ching Lai, Sven Erik Nordholm, Yee Hong Leung
The e-book covers the layout formulations for broadband beamformer concentrating on nearfield and farfield assets. The booklet content material contains heritage info at the acoustic setting, together with propagation medium, the array geometries, sign versions and simple beamformer designs. hence it introduces layout formula for nearfield, farfield and combined nearfield-farfield beamformers and extends the layout formula into electronically steerable beamformers. additionally, a powerful formula is brought for the entire designs mentioned.
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Extra resources for A Study into the Design of Steerable Microphone Arrays
Moonen, Design of far-field and near-field broadband beamformers using eigenfilters. Signal Process. 83(12), 2641–2673 (2003) References 51 7. H. Sayed, Adaptive filters (Wiley, 2008) 8. S. Doclo, M. Moonen, Design of broadband beamformers robust against gain and phase errors in the microphone array characteristics. IEEE Trans. Signal Process. 51(10), 2511–2526 (2003) 9. I. Markovsky, S. Van Huffel, Overview of total least-squares methods. Signal Process. 87(10), 2283–2302 (2007) 10. B. W. Elko, Mixed nearfield/farfield beamforming: a new technique for speech acquisition in a reverberant environment, in Proceedings of IEEE workshhop on Applications of Signal Processing to Audio and Acoustics, New Paltz, NY, 19–22 Oct 1997, pp.
E. dJLS (ω) =0 dwH (ω) Q (ω) w (ω) − q (ω) = 0 w (ω) = Q−1 (ω) q (ω) . 29) So far, no restriction on the frequency ω has been imposed, and it is considered to be continuous. In practice, the frequency ω and the frequency range Ω are normally discretised into finite samples. 17) assumes continuous frequency ω. 17) is difficult to solve and approximations may be sufficient. e. 3 Design Formulation 35 where wk is the real FIR filter weights attached to the kth sensor, and e (ω) is the complex exponentials for FT, and they are given by wk = [w (k, 0) , · · · , w (k, N − 1)]T e (ω) = exp (−j(0)ωTS ) , exp (−jωTS ) , .
11 Directivity plot for the TLSnear design 15 3500 3000 2500 5 2000 1500 0 1000 500 0 10 1 10 Source radial distance, r (m) Fig. 6 Design Examples and Evaluation 47 15 3500 3000 2500 2000 5 1500 Directivity index, DI (dB) Frequency, f (Hz) 10 0 1000 500 0 1 10 −5 2 10 10 Source radial distance, r (m) Fig. 13 Directivity plot for the TLSmixed design 20 0 w Array gain, A (dB) −20 −40 TLS near TLSfar TLS mixed −60 −80 −100 −120 0 500 1000 1500 2000 2500 Frequency, f (Hz) Fig. 14 Array gain plot for TLS-based design 3000 3500 4000 48 3 Broadband Beamformer Design Fig.
A Study into the Design of Steerable Microphone Arrays by Chiong Ching Lai, Sven Erik Nordholm, Yee Hong Leung