Se. Blumstein, THE MAPPING FROM ACOUSTIC STRUCTURE TO THE PHONETIC CATEGORIES OF SPEECH - THE INVARIANCE PROBLEM - OPEN PEER COMMENTARY, Behavioral and brain sciences, 21(2), 1998, pp. 260
This commentary focuses on the nature of combinatorial properties for
speech and the locus equation. The presence of some overlap in locus e
quation space suggests that this higher order property may not be stri
ctly invariant and may require other cues or properties for the percep
tion of place of articulation. Moreover, combinatorial analysis in two
-dimensional space and the resultant linearity appear to have a ''spec
ial'' status in the development of this theoretical framework. However
, place of articulation is only one of many phonetic dimensions in lan
guage. It is suggested that a multidimensional space including pattern
s derived in the frequency, amplitude, and time domains will be needed
to characterize the phonetic categories of speech, and that although
the derived properties ultimately may not meet the conditions of linea
rity, they will reflect a higher order acoustic invariance.