Gamma Noise VI

Owning Palette: Signal Generation VIs

Requires: Full Development System

Generates a pseudorandom pattern of values that are the waiting times to the order number event of a unit mean Poisson process.

Details  

 Add to the block diagram  Find on the palette
initialize? controls the reseeding of the noise sample generator after the first call of the VI. If initialize? is TRUE, accepts a new state or new seed value and begins producing noise samples based on the new state or new seed value. If initialize? is FALSE, this VI maintains the initial internal seed state and resumes producing noise samples as a continuation of the previous noise sequence. The default is TRUE.
samples specifies the number of samples contained in the output array. samples must be greater than 0. The default is 128.
order specifies the event number of the unit mean Poisson process. order must be greater than 0. The default is 1.
seed determines how to generate the internal seed state when initialize? is TRUE. If seed is greater than 0, this VI uses seed to generate the internal state directly. If seed is less than or equal to 0, this VI uses a random number to generate the internal state. seed must not be a multiple of 16384. If initialize? is FALSE, this VI ignores seed. The default is -1.
gamma noise contains the gamma-distributed, pseudorandom pattern.
error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

Gamma Noise Details

The Gamma Noise VI generates a Gamma-distributed pseudorandom pattern whose values are the waiting times that correspond to order. Given the Gamma function,

the probability density function, f(x), of the gamma noise is

where r is the order.

The following equations define the mean value, µ, and the standard deviation value, , of the pseudorandom sequence:

µ = E{x} = r

You can use the initialize? input to generate a long random noise sequence block by block. The following block diagram shows two ways to generate identical 300-sample Gamma noise sequences with a seed of 2.

You also can use the Gamma Noise Waveform VI to generate a Gamma noise signal or the Continuous Random VI to generate random variables from a gamma-distributed variate.