Uppsala universitet

Causal MSE-Optimal Filters for Personal Audio Subject to Constrained Contrast.

Simon Widmark

IEEE Transactions on Audio, Speech and Language Processing , Volume 27, Issue 5, May 2019, pp. 972-987.
DOI: 10.1109/TASLP.2019.2904839
© 2019 IEEE

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Abstract:
A novel design method that generates causal precompensation filters is formulated. The resulting filters are constrained with respect to the amount of acoustic contrast they generate and are intended to be used for personal audio. The proposed method provides a more direct method for trading bright zone behaviour against acoustic contrast as compared to other causal methods available. It also provides improved control over the temporal properties of the resulting filters as compared to the pre-existing non-causal methods.

The resulting filters are analysed by means of simulations, based on measured impulse responses of the sound-system–room interactions. The results of the simulations are compared to simulations of a frequency-domain optimal method with comparable objective, as proposed by Cai et al., and the results of the comparison are explained using the design equations.

It is shown that the proposed method is viable but that unattainable contrasts have a detrimental impact on the spectral bright zone behaviour. A few different strategies for dealing with this problem are also proposed.

It is demonstrated that the detrimental effect of increasingly strict causality constraints mainly concern the lower-frequency bright zone behaviour in the system under investigation, but that the very highest attainable contrast levels may also be reduced somewhat.

Related publications:
PhD Thesis 2018 by Simon Widmark.

IEEE TASLP 2018 paper on causal IIR audio precompensator filters subject to quadratic constraints. (The optimization method used in the present paper).

AES Munich 2012 Acoustical Zone Reproduction for Car Interiors Using a MIMO Framework.

IEEE ACC 2012 on MIMO design of active noise controllers for car interiors.

IEEE TASLP 2014 on the design and analysis of LQG feedforward controllers for active noise control.


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