Ohm's acoustical law for repeated random signals
Irwin W. Pollack · The Journal of the Acoustical Society of America · 1983
Following Guttman and Julesz, we employ repeated random signals as a tool for the study of low-frequency auditory periodicity. We have examined the periodicity perception for the weighted mixture of two repeated random components. Three hypotheses are suggestive for the dominant periodicity of the mixture: separability, in which the periodicities of the separate components each can be discerned (this is Ohm's acoustical law for repeated random signals); strict periodicity, in which the dominant periodicity is identified with the lowest common multiple of the component periodicities; and beat frequency, in which the dominant periodicity is identified with the frequency difference in periodicity of the components. The vast majority of periodicity matchings tend to support the separability hypothesis or Ohm's acoustical law for repeated random signals. The proportion of periodicity matchings assigned to the separate components is extremely sensitive to the relative weightings of the components. Moreover, periodicity matchings are sensitive to the specific random patterns employed.