**Name:**

noise_generator - Device to generate Gaussian white noise current.

**Description:**

This device can be used to inject a Gaussian "white" noise current into a node.

The current is not really white, but a piecewise constant current with Gaussian

distributed amplitude. The current changes at intervals of dt. dt must be a

multiple of the simulation step size, the default is 1.0ms,

corresponding to a 1kHz cut-off.

Additionally a second sinusodial modulated term can be added to the standard

deviation of the noise.

The current generated is given by

I(t) = mean + std * N_j for t_0 + j dt <= t < t_0 + (j-1) dt

where N_j are Gaussian random numbers with unit standard deviation and t_0 is

the device onset time.

If the modulation is added the current is given by

I(t) = mean + sqrt(std^2 + std_mod^2 * sin(omega * t + phase)) * N_j

for t_0 + j dt <= t < t_0 + (j-1) dt

For a detailed discussion of the properties of the noise generator, please see

the noise_generator.ipynb notebook included in the NEST source code

(docs/model_details).

**Parameters:**

The following parameters can be set in the status dictionary:

mean double - mean value of the noise current in pA

std double - standard deviation of noise current in pA

dt double - interval between changes in current in ms, default 1.0ms

std_mod double - modulated standard deviation of noise current in pA

phase double - Phase of sine modulation (0-360 deg)

frequency double - Frequency of sine modulation in Hz

**Sends:**

CurrentEvent

**Remarks:**

- All targets receive different currents.

- The currents for all targets change at the same points in time.

- The interval between changes, dt, must be a multiple of the time step.

- The effect of this noise current on a neuron DEPENDS ON DT. Consider

the membrane potential fluctuations evoked when a noise current is

injected into a neuron. The standard deviation of these fluctuations

across an ensemble will increase with dt for a given value of std.

For the leaky integrate-and-fire neuron with time constant tau_m and

capacity C_m, membrane potential fluctuations Sigma at times t_j+delay are

given by

Sigma = std * tau_m / C_m * sqrt( (1-x) / (1+x) ) where x = exp(-dt/tau_m)

for large t_j. In the white noise limit, dt -> 0, one has

Sigma -> std / C_m * sqrt(dt * tau / 2).

To obtain comparable results for different values of dt, you must

adapt std.

- As the noise generator provides a different current for each of its targets,

the current recorded represents the instantaneous average of all the

currents computed. When there exists only a single target, this would be

equivalent to the actual current provided to that target.

**Author:**

Ported to NEST2 API 08/2007 by Jochen Eppler, updated 07/2008 by HEP

**SeeAlso:**

**Source:**

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