Digital Filter Design for Inversion Problems in Sound Reproduction
When it is attempted to invert, or eliminate the influence of, a single-channel system such as a loudspeaker response or a room response, some frequencies are usually boosted by an excessive amount by the inverse filter. In particular, inversion of experimentally measured data tends to cause an excessive boost of frequencies just below the Nyquist frequency. A similar problem is encountered when designing digital filters for a multichannel virtual source imaging system such as the stereo dipole. A digital filter design method is presented that allows selective attenuation of unwanted peaks in the spectrum of the reproduced sound by using frequency-dependent regularization.
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