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Perceptual Coherence : Hearing and Seeing

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The Transition Between Noise <strong>and</strong> Structure 191<br />

visual system. The lack of such delay lines has led Shamma (2001) to suggest<br />

that there is direct spatial comparison of the movement of the sound<br />

wave along the basilar membranes of the near <strong>and</strong> far ears because, that can<br />

directly represent the interaural delay.<br />

Second, for vision, there is the problem of tracking the movement of objects<br />

in space. Starting with Reichardt (1961), models for the perception of<br />

movement are based on delay lines feeding into coincident detectors. Imagine<br />

an edge that moves spatially. The outputs from every receptor would be<br />

a set of delay lines (including one with zero delay), <strong>and</strong> those would be<br />

paired one-to-one with delay lines from other receptors at different spatial<br />

positions. Each such pair of delay lines would converge on one coincidence<br />

detector. The speed <strong>and</strong> direction of movement would be calculated by<br />

the cross-correlations of the spike patterns between pairs of delay lines by<br />

the coincidence detectors (this is covered more completely in chapter 5).<br />

I have conceptualized the conversion of auditory or visual excitation<br />

into separate, but overlapping sensory channels. Each channel is most sensitive<br />

to a particular auditory or spatial frequency, <strong>and</strong> the excitation of<br />

each channel is a function of the stimulus energy at that frequency. As described<br />

in chapter 2, the excitation can be conceptualized in terms of the<br />

firing rate of each channel or in terms of the timing between the spikes of<br />

the neurons. There need not be only one mechanism. 13<br />

To the extent that the neurons are phase-locked to the excitation, then<br />

each repetition should generate the identical distribution of intervals between<br />

the spikes. There are several possible mechanisms that we could postulate<br />

that maintain the neural spike sequence so that matches can be found<br />

among the repeating units. Cariani (1999) hypothesized that there are sets<br />

of recurrent delay lines that detect the repetition. Any signal creates a set of<br />

memory traces that encode the spike timings. Each trace is delayed by a<br />

different time interval. The new incoming signal is compared to every delayed<br />

version of the current memory trace <strong>and</strong> for each delay, a coincidence<br />

detector passes on those spikes that occur in the same time bins from the<br />

circulating trace <strong>and</strong> the present signal. There would be many coincident<br />

spikes for the delay lines that match the repetition rate of the signal, but<br />

only a small number of coincident spikes for the delay lines that do not.<br />

13. Given that organisms need different kinds of information about the external world, we<br />

would expect that there would be several ways in which neural excitation could <strong>and</strong> would<br />

code that information. Victor (2000) presented an information theory method for estimating<br />

whether using the coincidence in the timing of the spikes improves the information transmission<br />

above that obtained by simply counting the number of spikes. He estimated that the gain<br />

is roughly 20-30%. Using a similar method, Victor (2000) argued that when several neurons<br />

signal the identical stimulus property (i.e., neurons that have the same best frequency), transmission<br />

is better if the spike trains of each such neuron are kept separate, rather than summing<br />

all together. The gain here is smaller, about 10%. This is the same conclusion as Reich et al.<br />

(2001).

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