Clack T D
Biol Cybern. 1978 Mar 3;28(4):191-200. doi: 10.1007/BF00344266.
A nonlinear-algebraic approach to monaural intensity processing is proposed: the purpose is to integrate the conscious loudness attribute evoked by a pure tone with the power-series description of auditory distortion. The preliminary model consists of six postulates leading to a mathematical definition for loudness. To evaluate this equation, two task-specific sets of loudness judgments from each of seven subjects are examined. When linked to loudness-interval responses via the equisection assumption, the equation describes the behaviors quite well. Extrapolations into other intensity ranges predict similar responses with relatively slight overestimates. By relaxing the assumption that subjects will adjust the loudness proportions exactly as instructed, their ratio productions also can be described and predicted with sometimes surprising accuracy. Particularly striking is the prediction of overall levels and the curvilinearities of "doublings" from the "halvings". In addition, the theory proposes absolute loudness measurement, an explanation for the growth of loudness including the principle underlying Steven's Power Law, and might prove useful in examining some exceptions to this relationship. Several aspects of this model differ from traditional approaches to intensity processing, but it appears to warrent further critical evaluations.
目的是将纯音诱发的有意识响度属性与听觉失真的幂级数描述相结合。初步模型由六个假设组成，这些假设导出了响度的数学定义。为了评估这个方程，我们检查了来自七名受试者中每一位的两组特定任务的响度判断。当通过等分假设与响度区间响应联系起来时，该方程能很好地描述这些行为。外推到其他强度范围时，预测的响应类似，只是有相对较小的高估。通过放宽受试者会完全按照指示调整响度比例的假设，他们的比例生成也能够以有时令人惊讶的准确性进行描述和预测。特别引人注目的是对总体水平的预测以及从“减半”到“加倍”的曲线关系。此外，该理论提出了绝对响度测量，对响度增长的一种解释，包括史蒂文斯幂定律背后的原理，并且可能在研究这种关系的一些例外情况时有用。该模型的几个方面与传统的强度处理方法不同，但似乎值得进一步的批判性评估。
