Jp. Gaska et al., SPACE-TIME SPECTRA OF COMPLEX CELL FILTERS IN THE MACAQUE MONKEY - A COMPARISON OF RESULTS OBTAINED WITH PSEUDOWHITE NOISE AND GRATING STIMULI, Visual neuroscience, 11(4), 1994, pp. 805-821
White noise stimuli were used to estimate second-order kernels for com
plex cells in cortical area V1 of the macaque monkey, and drifting gra
ting stimuli were presented to the same sample of neurons to obtain or
ientation and spatial-frequency tuning curves. Using these data, we qu
antified how well second-order kernels predict the normalized tuning o
f the average response of complex cells to drifting gratings. The esti
mated second-order kernel of each complex cell was transformed into an
interaction function defined over all spatial and temporal lags witho
ut regard to absolute position or delay. The Fourier transform of each
interaction function was then computed to obtain an interaction spect
rum. For a cell that is well modeled by a second-order system, the cel
l's interaction spectrum is proportional to the tuning of its average
spike rate to drifting gratings. This result was used to obtain spatia
l-frequency and orientation tuning predictions for each cell based on
its second-order kernel. From the spatial-frequency and orientation tu
ning curves, we computed peaks and bandwidths, and an index for direct
ional selectivity. We found that the predictions derived from second-o
rder kernels provide an accurate description of the change in the aver
age spike rate of complex cells to single drifting sine-wave gratings.
These findings are consistent with a model for complex cells that has
a quadratic spectral energy operator at its core but are inconsistent
with a spectral amplitude model.