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An Automatic Design Procedure for Low-order IIR Parametric Equalizers

Vairetti, Giacomo, De Sena, Enzo, Catrysse, Michael, Jensen, Soren Holdt, Moonen, Marc and Van Waterschoot, Toon (2018) An Automatic Design Procedure for Low-order IIR Parametric Equalizers Journal of the Audio Engineering Society, 66 (11). pp. 935-952.

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Parametric equalization of an acoustic system aims to compensate for the deviations of its response from a desired target response using parametric digital filters. An optimization procedure is presented for the automatic design of a low-order equalizer using parametric infinite impulse response (IIR) filters, specifically second-order peaking filters and first-order shelving filters. The proposed procedure minimizes the sum of square errors (SSE) between the system and the target complex frequency responses, instead of the commonly used difference in magnitudes, and exploits a previously unexplored orthogonality property of one particular type of parametric filter. This brings a series of advantages over the state-of-the-art procedures, such as an improved mathematical tractability of the equalization problem, with the possibility of computing analytical expressions for the gradients, an improved initialization of the parameters, including the global gain of the equalizer, the incorporation of shelving filters in the optimization procedure, and a more accentuated focus on the equalization of the more perceptually relevant frequency peaks. Examples of loudspeaker and room equalization are provided, as well as a note about extending the procedure to multi-point equalization and transfer function modeling.

Item Type: Article
Divisions : Faculty of Arts and Social Sciences > Guildford School of Acting
Authors :
Vairetti, Giacomo
De Sena,
Catrysse, Michael
Jensen, Soren Holdt
Moonen, Marc
Van Waterschoot, Toon
Date : 6 November 2018
DOI : 10.17743/jaes.2018.0049
Copyright Disclaimer : Copyright 2018 Audio Engineering Society
Depositing User : Melanie Hughes
Date Deposited : 05 Sep 2018 14:27
Last Modified : 15 Mar 2019 10:29

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