Supported by
Wellcome Trust
LinearCommon
Linear filter, Common input, Poisson
Summary
This 1D linear filter model generates a stimulus-modulated source of
Poisson common input that drives units in a second stage. The second
stage units simply combine the common input spikes with spikes from
independent Poisson sources. This model was designed for testing spike
train cross-correlation analyses and for educational exercises.

The stimulus,
s(t), is convolved with a linear filter. The
output is scaled and half-wave rectified (not shown) to form a time
varying rate,
rc(t), that drives an inhomogeneous
Poisson process. The resulting spike train, the output of
unit
c, is the source of common input to
unit 1 and
unit
2. These two second layer units accept each spike
from the common input independently with probabilities
p1 and
p2, respectively. In addition to the common input spikes, the
output spike trains of units 1 and 2 include a set of independent
(homogeneous) Poisson spikes generated with rates
ra
and
rb, respectively.
Additional parameters allow for a refractory period to be imposed on
the spikes of unit c, and for the spikes of units 1 and 2 to be
converted to bursts. An arbitrary number of second layer units can
be defined. For detailed parameter descriptions, follow the link for
the model class below.
Model Class: lin_01