By Chiong Ching Lai, Sven Erik Nordholm, Yee Hong Leung
The publication covers the layout formulations for broadband beamformer focusing on nearfield and farfield assets. The ebook content material contains history info at the acoustic setting, together with propagation medium, the array geometries, sign versions and simple beamformer designs. to that end it introduces layout formula for nearfield, farfield and combined nearfield-farfield beamformers and extends the layout formula into electronically steerable beamformers. furthermore, a strong formula is brought for all of the designs mentioned.
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Extra info for A Study into the Design of Steerable Microphone Arrays
K − 1) th mic W (K − 1) y(n) Fig. 2 Delay-and-sum beamformer structure 0th mic W (0, ω) FT 1st mic W (1, ω) FT .. .. (K − 1)th mic W (K − 1, ω) FT IFT y(n) Fig. 3 Frequency domain broadband beamformer structure applied to the corresponding components in order to achieve broadband beamforming. This structure is also called frequency domain broadband beamformer since it essentially decomposes the received signals into different frequency components, performs signal processing in frequency domain, and finally reconstructs the signals back to time domain signal.
9) where Ψ is the steering range of interest, V (r, ω, ψ) is a weighting function, and the integration region R (ψ) is now dependent on the steering angle ψ. 10) over the frequency range Ω results in an optimum transfer function Wopt (k, m, ω) for the desired response Hd (r, ω, ψ). The optimum impulse response can be obtained by taking the IFT of Wopt (k, m, ω). 10) can also be solved using matrix calculus.
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.
A Study into the Design of Steerable Microphone Arrays by Chiong Ching Lai, Sven Erik Nordholm, Yee Hong Leung