problems on butterworth filter


What is a Butterworth filter?

    Butterworth filters are termed maximally-flat-magnitude-response filters, optimized for gain flatness in the pass band. The attenuation is –3 dB at the cutoff frequency. Above the cutoff frequency, the attenuation is –20 dB/decade/order. The transient response of a Butterworth filter to a pulse input shows moderate overshoot and ringing.

What is the attenuation of a Butterworth filter?

    The attenuation is –3 dB at the cutoff frequency. Above the cutoff frequency, the attenuation is –20 dB/decade/order. The transient response of a Butterworth filter to a pulse input shows moderate overshoot and ringing. Bessel filters are optimized for maximally-flat time delay (or constant-group delay).

How to make a second-order low-pass Butterworth filter?

    The realization of a second-order low-pass Butterworth filter is made by a circuit with the following transfer function: H LP f = K ? f fc 2 + 1 . 414 j f fc + 1 (12) Equation 12 is the same as Equation 1 with F SF = 1 and Q = 1 1 . 414 = 0 . 707.

What is the difference between Butterworth filter and Bessel filter?

    The transient response of a Butterworth filter to a pulse input shows moderate overshoot and ringing. Bessel filters are optimized for maximally-flat time delay (or constant-group delay). This means that they have linear phase response and excellent transient response to a pulse input.
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