Wiener Filtering for Anechoic Transfer Function Measurement in Acoustics
Deriving the transfer function of electroacoustical systems in a normal reverberant environment is usually based on frequency-domain methods that compute the anechoic spectra of direct and early sounds. Unlike time-delay spectrometry and time-gating frequency analysis, this paper proposes a Wiener-Hopf solution for time-gating in anechoic transfer-function measurements. The procedure eliminates scattered or reflected rays. Compared to methods based on the discrete Fourier transform, this approach allows for nonuniform frequency-domain sampling when the system’s magnitude and/or phase responses exhibit large variations. Since the approach relies only on frequency-domain measurements and simple time-gating, it does not require complicated and expensive equipment such as pulse generators and fast sampling oscilloscopes.
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