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Chapter 6

Temporal Sensations of the Sound Signal

The basic perceived attributes of sound can be divided into those related to a sound’s perceived location in space (spatial sensations) and those qualities that distinguish different sounds independent of location (temporal sensations). Spatial sensations include sound location, size (apparent source width, ASW), and diffuseness. These subjective attributes are mainly subserved by the binaural system and can be described in terms of the interaural correlation function IACF (Chapter 7). Nonspatial and subjective attributes of sound include pitch, loudness, timbre, and duration. These perceptual qualities are grouped under the rubric of “temporal sensations” because they can be described in terms of temporal factors extracted from the monaural autocorrelation function ACF. Factors associated with temporal sensations typically predominate in neuronal responses from the left cerebral hemisphere (Fig. 5.1), while those associated with spatial sensations predominate in responses from the right hemisphere (Ando, 2006).

When a source signal is produced in a sound field, the properties of the sound field can influence the perception of nonspatial attributes. For example, reverberation time can affect loudness (Ando, 1998) and reverberations can degrade the pitches of unresolved harmonics (Sayles and Winter, 2008). Here we will discuss only the perceptual qualities of sounds in the absence of reverberation.

6.1 Combinations of Temporal and Spatial Sensations

The model outlined in Chapter 5 quite naturally leads to a division of primary sensations into two main categories: temporal sensations and spatial sensations. To begin with, we will discuss the relationship of subjective sensations to physical factors.

Neuropsychological models of perception attempt to describe relations between the physical attributes of external stimuli and the internal sensations they evoke. Whereas physical attributes can be publicly measured, sensations must be revealed to us either by direct experience or the overt perceptual judgments of others. Models of perception therefore involve finding mappings between physical attributes and mental, perceptual variables. Mental variables in turn are reflections of underlying

Y. Ando, P. Cariani (Guest ed.), Auditory and Visual Sensations,

91

DOI 10.1007/b13253_6, C Springer Science+Business Media, LLC 2009

 

92

6 Temporal Sensations of the Sound Signal

functional brain states. Psychophysical models of perception therefore include both phenomenological models that map physical stimulus variables directly onto patterns of perception and causal, mechanistic psychoneural models that first map stimulus attributes to brain states, and then brain states to mental states (experiences).

In psychophysical models, perceptual attributes associated with a given sensation can depend upon multiple physical factors, such that a single sensation j may not be well described only in terms of a single factor. Let Xi(i = 1, 2, . . ., I) be physical factors representing cues influencing any primary sensation (temporal and spatial sensations as mentioned above), in where J is a number of significant physical factors and I is the total number of physical factors, then similar to Equation (3.5), a sensation Sj may be expressed by

Sj = f(x1, x2, ... x1), j = 1, 2, ..., J

(6.1)

If physical factors are orthogonal to each other and contribute independently to a given sensation, then Sj may be expressed by a linear combination, such that,

Sj = f(x1) + f(x2) + ... + f(xI), j = 1, 2, ..., J

(6.2)

For example, let us consider the scale value of loudness, which might be described by not only the sound energy (0) and the pitch τ1, but also by repetitive feature of the signal (φ1 and/or τe) and the duration of the signal D, as expressed by Equation (6.9).

Here, the question arises as to whether or not a single sensation is independent of other sensations. The simplest case with two physical factors x1 and x2 is described in Equation (6.2) so that

 

 

 

S1 = f1(x1) + f1(x2), j = 1

(6.3)

 

 

 

S2 = f2(x1) + f2(x2), j = 2

 

The correlation coefficient between S1 and S2 is given by

 

r12 =

 

= f1

 

+ f1

 

+ f1

 

+ f1

 

(6.4)

S1 S2

(x1) f2(x1)

(x2) f2(x2)

(x1) f2(x2)

(x2) f2(x1)

and is not zero, because in general, the first and second terms of the right-hand side are not always zero. Previously, it was believed that these perceptual attributes are largely independent of each other. For example, timbre is independent and usually not much affected by loudness (50–90 dB SPL), pitch (F0: 200–400 Hz), or duration (100–600 ms), within limits. And we can readily identify musical instruments by their timbres irrespective of how loudly and how long any arbitrary notes are being played. However, more rigorously, we shall discuss sensations in relation to the possible dimension of physical factors.

In our auditory model, we consider differences in response patterns between the cerebral hemispheres of human listeners. Here, temporal factors are more prominent in the left hemisphere, whereas spatial factors are more prominent in the right hemisphere. Models in which an internal variable associated with each hemisphere