Gaussian filter is named due to the form of its impulse responce
which is similar to the Gaussian distribution.
Such filter is very simple, its Z responce is equal to
H(z)=(1+Z^-1)^n .
Where n+1 is the filter order.
So it can be implemented without any multiplier.
As a result, the equivalent usual FIR filter has the coefficients
which are equal to the binomial coefficients:
1,2,1 or 1,3,3,1 or 1,4,6,4,1, etc.