| Does Norwich's entropy theory of perception produce equal-loudness contours? | |
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MedLine Citation:
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PMID: 18190049 Owner: NLM Status: In-Data-Review |
Abstract/OtherAbstract:
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Norwich & Wong [Percept. Psychophys. 59, 1997; derived backwards in JASA, 97, 1995] modeled loudness L versus intensity I by L(I,k,gamma,I(th),n)=(k/2)ln(1+gamma(I/I(th))(n)). They assumed L(th)=L(I(th)) and L=L-L(th), producing two loudnesses, L or L=L-L(th), giving L(I(th))=L(th) or 0, and L(0)=0 or (-k/2)ln(1+gamma), a negative. They took dL/dI, called it DeltaL/DeltaI, and rearranged it, giving DeltaI/I(DeltaL,k,gamma,I(th),n). New terms S(infinity)(DeltaL,n,k) and S(0)(DeltaL,n,gamma,k) were introduced, thus gamma=S(infinity)/(S(0)-S(infinity)). The result was DeltaI/I in S(infinity), S(0), and n, identical to an equation of Riesz (Phys. Rev., 31, 1928). Riesz's empirical S(infinity), S(0), and n provided gamma's and n's for L(I)=L(I,k,gamma,I(th),n)-(k/2)ln(1+gamma). Assuming k was constant, Norwich & Wong equated L(I)'s for comparison and reference tones, generating equal-loudness contours. The contours contradicted empirical ones; to adjust, they replaced Riesz's n by Stevens' Index, x. The present author curvefitted the Entropy Equation and Stevens' Law to 37 loudness-growth plots. k depended on maximum loudness as k=0.173L(max) (1.41) n not equalx, rather, n=0.123+1.215x. Altogether, the derived contours are invalid. (a))Research done at Univ. of Toronto in Mississauga, 3359 Mississauga Rd. N., Mississauga, ON, Canada. |
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Authors:
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Lance Nizami |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: The Journal of the Acoustical Society of America Volume: 122 ISSN: 1520-8524 ISO Abbreviation: J. Acoust. Soc. Am. Publication Date: 2007 Nov |
Date Detail:
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Created Date: 2008-01-14 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 7503051 Medline TA: J Acoust Soc Am Country: United States |
Other Details:
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Languages: eng Pagination: 3062 Citation Subset: IM |
Affiliation:
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1312 Grayson Pl., Decatur, GA 30030. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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