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A Generalized Method for Fractional-Octave Smoothing of Transfer Functions that Preserves Log-Frequency Symmetry

Author(s): Tylka, Joseph; Boren, Braxton; Choueiri, Edgar

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dc.contributor.authorTylka, Joseph-
dc.contributor.authorBoren, Braxton-
dc.contributor.authorChoueiri, Edgar-
dc.date.accessioned2021-10-08T20:18:31Z-
dc.date.available2021-10-08T20:18:31Z-
dc.date.issued2017-03-14en_US
dc.identifier.citationTylka, Joseph, Boren, Braxton, Choueiri, Edgar. (2017). A Generalized Method for Fractional-Octave Smoothing of Transfer Functions that Preserves Log-Frequency Symmetry. Journal of the Audio Engineering Society, 65 (3), 239 - 245. doi:10.17743/jaes.2016.0053en_US
dc.identifier.issn1549-4950-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1gw1t-
dc.description.abstractA method is presented for fractional-octave smoothing that, for spectra that are originally symmetric in log-frequency, preserves said symmetry after smoothing. Unlike an existing method, which requires interpolation of the FFT spectra to a log-frequency scale, the proposed method uses analytically-derived smoothing windows and operates directly in the FFT domain, thereby retaining compatibility with well-established spectral smoothing techniques such as complex smoothing. In this work the proposed method is compared with two existing methods, the first of which is nearly ubiquitous in the field, by smoothing the magnitude response of an analog band-pass filter (which is symmetric on a log-frequency scale) and subsequently calculating a "center of mass" of the smoothed spectra to quantify any loss of symmetry. The first existing method uses symmetric (on a linear scale) smoothing windows, which exhibit the correct bandwidths but do not span the correct fractional-octave frequency ranges, whereas the second interpolates the spectrum to logarithmically-spaced frequencies and then uses a symmetric fixed-width smoothing window. Results show that the proposed method achieves nearly identical smoothed spectra to the second method, but without the need for interpolation, and that the first method indeed skews the log-symmetry of the original spectra.en_US
dc.format.extent239 - 245en_US
dc.language.isoen_USen_US
dc.relation.ispartofJournal of the Audio Engineering Societyen_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleA Generalized Method for Fractional-Octave Smoothing of Transfer Functions that Preserves Log-Frequency Symmetryen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.17743/jaes.2016.0053-
dc.date.eissued2017-03-14en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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