**Name:**

correlation_detector - Device for evaluating cross correlation between

two spike sources

**Description:**

The correlation_detector device is a recording device. It is used to record

spikes from two pools of spike inputs and calculates the count_histogram of

inter-spike intervals (raw cross correlation) binned to bins of duration

delta_tau. The result can be obtained via GetStatus under the key

/count_histogram.

In parallel it records a weighted histogram, where the connection weights

are used to weight every count. In order to minimize numerical errors the

Kahan summation algorithm is used when calculating the weighted histogram.

(http://en.wikipedia.org/wiki/Kahan_summation_algorithm)

Both are arrays of 2*tau_max/delta_tau+1 values containing the histogram

counts in the following way:

Let t_{1,i} be the spike times of source 1,

t_{2,j} the spike times of source 2.

histogram[n] then contains the sum of products of the weight w_{1,i}*w_{2,j},

count_histogram[n] contains 1 summed over all events with t_{2,j}-t_{1,i} in

[ n*delta_tau - tau_max - delta_tau/2 , n*delta_tau - tau_max + delta_tau/2 )

The bins are centered around the time difference they represent, but are

left-closed and right-open. This means that events with time difference

-tau_max-delta_tau/2 are counted in the leftmost bin, but event with

difference tau_max+delta_tau/2 are not counted at all.

The correlation detector has two inputs, which are selected via the

receptor_port of the incoming connection: All incoming connections with

receptor_port = 0 will be pooled as the spike source 1, the ones with

receptor_port = 1 will be used as spike source 2.

**Parameters:**

Tstart double - Time when to start counting events. This time should

be set to at least start + tau_max in order to avoid

edge effects of the correlation counts.

Tstop double - Time when to stop counting events. This time should be

set to at most Tsim - tau_max, where Tsim is the

duration of simulation, in order to avoid edge effects

of the correlation counts.

delta_tau double - bin width in ms

tau_max double - one-sided histogram width in ms. Events with

differences in

[-tau_max-delta_tau/2, tau_max+delta_tau/2)

are counted.

histogram double vector, read-only - raw, weighted cross

correlation counts

histogram_correction double_vector, read-only - correction factors for kahan

summation algorithm

count_histogram long vector, read-only - raw, cross correlation

counts

n_events integer vector - number of events from source

0 and 1. By setting n_events

to [0 0], the histogram is

cleared.

**Receives:**

SpikeEvent

**Remarks:**

This recorder does not record to file, screen or memory in the usual

sense.

Example:

/s1 /spike_generator Create def

/s2 /spike_generator Create def

s1 << /spike_times [ 1.0 1.5 2.7 4.0 5.1 ] >> SetStatus

s2 << /spike_times [ 0.9 1.8 2.1 2.3 3.5 3.8 4.9 ] >> SetStatus

/cd /correlation_detector Create def

cd << /delta_tau 0.5 /tau_max 2.5 >> SetStatus

s1 cd << /receptor_type 0 >> Connect

s2 cd << /receptor_type 1 >> Connect

10 Simulate

cd [/n_events] get == --> [# 5 7 #]

cd [/histogram] get == --> [. 0 3 3 1 4 3 2 6 1 2 2 .]

cd << /reset true >> SetStatus

cd [/histogram] get == --> [. 0 0 0 0 0 0 0 0 0 0 0 .]

**Availability:**

NEST

**Author:**

Moritz Helias

Jakob Jordan (implemented Kahan summation algorithm) 2013/02/18

**FirstVersion:**

2007/5/21

**SeeAlso:**

**Source:**

/home/nest/work/nest-2.14.0/models/correlation_detector.h