Gaussian Filters

The Gaussian Filter is the filter type that results in the most gradual pass band roll-off and the lowest group delay. The step response of the Gaussian filter NEVER overshoots the steady state value.  As the name states, the Gaussian Filter is derived from the same basic equations used to derive the Gaussian Distribution. The significant characteristic of the Gaussian Filter is that the step response contains no overshoot at all.

Filter Solutions normalizes the Gaussian filter such that the prototype high frequency attenuation matches the Butterworth filter. The pass band attenuation of the Gaussian filter increases with the order of the filter when this normalization is applied. However, Filter Solutions allows the user the option of selecting the desired pass band attenuation in dB's.  3dB attenuation is a popular choice for some.

Gaussian Transitional Filters

It is occasionally desirable to transition from a Gaussian frequency response to a stepper roll off response at a user defined attenuation point.. Filter Solutions provides 3, 6, 9, 12, and 15 dB Transitional Filters. Pass band attenuation is always set to 3.01 dB for Gaussian Transitional filters.

Below are examples of Gaussian and Gaussian Transitional  low pass frequency  response and Gaussian low pass step response.