recursive butterworth filter


What is a recursive filter?

    Recursive filters are also known as Infinite Impulse Response (IIR) filters. In FIR filters, the output is simply the weighted sum of the current and previous inputs. In contrast, in IIR filters, the output is the weighted sum of the current and previous inputs, and the previous outputs.

What is an example of a Butterworth filter?

    A simple example is the ?rst order Butterworth ?lter, where the trans fer functions are [2, page 234]: Tw(s)= ?w s+?w , Tt(s)= s s+?t

What is the cutoff frequency of a Butterworth filter?

    The corner frequency or cutoff frequency is given by the equation: The Butterworth filter has frequency response as flat as mathematically possible, hence it is also called as a maximally flat magnitude filter (from 0Hz to cut-off frequency at -3dB without any ripples).

What is a low-pass butter-worth filter?

    Another low-pass Butter-worth filter is applied to the acceleration signal with gravitational and body motion components to filter out body acceleration and gravity information. It gravitational forces are assumed to have low-frequency components and 0.3 Hz is considered as optimal corner frequency to obtain a constant gravity signal.
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