Gaussian filter

A FIR Gaussian filter is a symmetrical non-causal time series moving average filter with a Gaussian curve instead of a rectangle as filter core. Like the moving average filter, it acts as a low-pass filter within the frequency band.

The degree of signal smoothing can be adjusted by specifying a filter order. The higher the order, the stronger the filter effect.

The filter core corresponds to a Gaussian curve, see Fig. “Filter core of Gaussian filter”. The resulting characteristic filter curve (step response) is depicted in Fig. “Step response of Gaussian filter”.

The examples are calculated with order 40.