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Self Interference. Waves need to be at the detecting neuron at the same time Self interference condition (all paths): t 1 = t 2 = … = t n Velocities and path length can be very different, but delays can not. drawing: d. doebler.
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Self Interference • Waves need to be at the detecting neuron at the same time • Self interference condition (all paths): t1 = t2 = … = tn • Velocities and path length can be very different, but delays can not
drawing: d. doebler Sound Localization Model:First Inter-Medial Interference Circuit Model based on: Jeffres L. A.: A place theory of sound localization. J. Comp. Physiol. Psychol. 41 [1948]: 35-39 Tyto alba symmetry line: interference projection (mirrored) right left
1-dim.: Interference Projection • Signals meet at locations with identical delays from source • (all other cases not drawn) • Specific neurons begin to communicate • Address relations between locations given by delays • Time codes location Heinz 1992 It looks like a density modulated signal?
Waves in the Detecting Field? • I² are composed of waves • Didactic suggestions: • homogeneous wave expansion • Linear superimposition (?!) • Wave field. Image pixels symbolize neurons: • 30 channel simulation (Hz 1995) Integration for each pixel (interference integral):
3-dim. Interference Projection • Considered generating and detecting fields • Which properties exist between generating and detecting locations?
3-dim. Interference Projection • Considered generating and detecting fields • Which properties exist between generating and detecting locations? • To find answers we arrange the spiking neurons • we find a mirrored projection "interference integral" (I²)
observation Bi-directional: Singers Synchronization? • Using micro-electrodes, Wolf Singer found 1986 a deep tone in cats cortex • Has he found an interferential wave projection? • To "hold" a projection for some time (learn phase), we need a repetition?
Summary "Self Interference Chapter" Self interference condition maximizes the excitability of a neuron Self interference properties define "mirrored projections" The term "wave" abstracts a two- or higher dimensional movement of spikes through space It is not possible to interpret anything, if we don’t observe all channels of a projection Time defines location: we find a closed relation between geom. wave length and geom. properties of space Self interference is very sensitive against any parameter drift, circuits need auto-control and regulation (-> Hebb's rule in a new light) Non-linear superimposition produces further effects Israel lectures 27/09/05 to 06/10/05 Author:Dr. Gerd Heinz GFaI, 12489 Berlin Albert-Einstein-Str. 16, Floor 5, Room 12B heinz@gfai.dewww.gfai.de/~heinzwww.acoustic-camera.com