A Law for Loudness Discrimination

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Abstract
A law for loudness is proposed which implies detection and averaging in a general nonlinear device with excitation by a complex signal-noise wave form. This law provides a mechanistic explanation for subjective intensity in the general time varying case. Mathematical solutions to the general law may be obtained in certain elementary cases, the well-known power-law characteristic being an example. A modified Weber law is derived which is in good agreement with experiments at both small and moderate stimulus intensities.

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