Subject: [AUDITORY] Two papers on psychophysical laws From: Dr Nizami <lancenizamiphd@xxxxxxxx> Date: Wed, 26 Jan 2022 12:05:07 -0500------=_Part_1550458_1951135996.1643216707170 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: quoted-printable Dear Colleagues =E2=80=93 For those interested in psychophysical =E2=80=9Claws=E2=80=9D, the followin= g two papers are now available freely online at Academia.edu and at Researc= hGate and are available, on request, directly from me. The first paper is:: =E2=80=9CSensation-growth equations for non-zero threshold sensation, evalu= ated using non-traditional, bounded Fechnerian integration, for Fechner=E2= =80=99s Law and for Ekman=E2=80=99s Law, using 12 different Weber Fractions= =E2=80=9D Proceedings of InterNoise e-Congress 2020, Seoul, S. Korea Let me explain the point of this paper. Traditionally, when deriving sensat= ion-growth equations, lower bounds such as the stimulus-detection threshold= and the corresponding sensation are ignored. That tradition of unbounded i= ntegration is replaced here by non-traditional, bounded integration, in whi= ch sensation at the stimulus-detection threshold is nonzero. Twelve Weber F= ractions were chosen, all having historical utility. The Weber Fractions we= re combined with either Fechner=E2=80=99s Law or with Ekman=E2=80=99s Law t= o derive the sensation growth. The result is 24 reimagined sensation-growth= equations as alternatives to the status quo. The equations have unique fea= tures; notably, the threshold sensation is always additive for sensation-gr= owth derived using Fechner=E2=80=99s Law, and is always multiplicative for = sensation-growth derived using Ekman=E2=80=99s Law. The second papers is =E2=80=9CNon-classical, bounded Fechnerian integration for loudness: contra= ry to Luce and Edwards, initial loudness-difference-size stipulations are o= nly recouped for linear loudness growth=E2=80=9D Audio Engineering Society = Convention Paper, The 149th Convention of the Audio Engineering Society, Ne= w York, NY, USA The latter paper examines the limits of the equations introduced in the fir= st paper, particularly, whether they return some simplifying assumptions ma= de in their derivations. The same is then done for the sensation-growth equ= ations introduced by Luce and Edwards (Psychological Review, 1958), thereby= revealing a substantial error that has propagated throughout the literatur= e to the present day: namely, that three popular forms of the Weber Fractio= n, when combined with Fechner=E2=80=99s Law, do not produce sensation-growt= h equations that subsequently return the selfsame Fechner=E2=80=99s Law (co= ntrary to Luce & Edwards). Thanks very much for your attention, and Happy New Year - Lance Nizami, PhD Bedford, MA 01730 ------=_Part_1550458_1951135996.1643216707170 MIME-Version: 1.0 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable <!doctype html> <html> <head>=20 <meta charset=3D"UTF-8">=20 </head> <body> <div style=3D"" class=3D"default-style"> <div> Dear Colleagues =E2=80=93 </div> <div> <br> </div> <div> For those interested in psychophysical =E2=80=9Claws=E2=80=9D, the foll= owing two papers are now available freely online at Academia.edu and at Res= earchGate and are available, on request, directly from me.=20 </div> <div class=3D"default-style"> <br> </div> <div class=3D"default-style"> The first paper is:: </div> <div> <br> </div> <div> =E2=80=9CSensation-growth equations for non-zero threshold sensation, e= valuated using non-traditional, bounded Fechnerian integration, for Fechner= =E2=80=99s Law and for Ekman=E2=80=99s Law, using 12 different Weber Fracti= ons=E2=80=9D Proceedings of InterNoise e-Congress 2020, Seoul, S. Korea </div> <div> <br> </div> <div> Let me explain the point of this paper. Traditionally, when deriving se= nsation-growth equations, lower bounds such as the stimulus-detection thres= hold and the corresponding sensation are ignored. That tradition of <em>unb= ounded </em>integration is replaced here by non-traditional, <em>bounded </= em>integration, in which sensation at the stimulus-detection threshold is n= onzero. Twelve Weber Fractions were chosen, all having historical utility. = The Weber Fractions were combined with either Fechner=E2=80=99s Law or with= Ekman=E2=80=99s Law to derive the sensation growth. The result is 24 reima= gined sensation-growth equations as alternatives to the status quo. The equ= ations have unique features; notably, the threshold sensation is always add= itive for sensation-growth derived using Fechner=E2=80=99s Law, and is alwa= ys <em>multiplicative</em> for sensation-growth derived using Ekman=E2=80= =99s Law. </div> <div> <br> </div> <div> <br> </div> <div> The second papers is </div> <div> <br> </div> <div> =E2=80=9CNon-classical, <em>bounded </em>Fechnerian integration for lou= dness: contrary to Luce and Edwards, initial loudness-difference-size stipu= lations are only recouped for linear loudness growth=E2=80=9D Audio Enginee= ring Society Convention Paper, The 149<sup style=3D"line-height: 0;">th</su= p> Convention of the Audio Engineering Society, New York, NY, USA </div> <div> <br> </div> <div> The latter paper examines the limits of the equations introduced in the= first paper, particularly, whether they return some simplifying assumption= s made in their derivations. The same is then done for the sensation-growth= equations introduced by Luce and Edwards (<em>Psychological Review</em>, 1= 958), thereby revealing a substantial error that has propagated throughout = the literature to the present day: namely, that three popular forms of the = Weber Fraction, when combined with Fechner=E2=80=99s Law, do <em>not</em> p= roduce sensation-growth equations that subsequently return the selfsame Fec= hner=E2=80=99s Law (contrary to Luce & Edwards). </div> <div> <br> </div> <div class=3D"default-style"> <br> </div> <div class=3D"default-style"> Thanks very much for your attention, and Happy New Year - <br> </div> <div class=3D"default-style"> <br> </div> <div class=3D"default-style"> Lance Nizami, PhD <br> </div> <div class=3D"default-style"> Bedford, MA 01730 <br> </div> <div class=3D"default-style"> <br> </div> </div> </body> </html> ------=_Part_1550458_1951135996.1643216707170--