this is more info
Is the four-pole filter in Figure 15–45 approximately optimized
for a Butterworth response? What is the roll-off rate?
Determine the critical frequency in Figure 15–45.
Without changing the response curve, adjust the component values in
the filter of Figure 15–45 to make it an equal-value filter. Select
C = 0.22 μF for both stages.
this is more info Is the four-pole filter in Figure 15–45 approximately optimized for a Butterworth response? What is th...
Figure 2 below shows a bode-plot of a Butterworth response filter, with cut-off frequency, fc of 95 kHz and damping factor, a of 1. Define roll-off rate and explain how it effects the frequency response of this filter. Then, modify the frequency response to have a -80 dB/decade roll-off rate by redesigning the filter with appropriate structure and components value. Draw your filter design. Gain (normalized to 1) OdB -3 dB Actual response of a single-pole RC filter – Passband...
53. A 2- order normalized Butterworth filter can be improved by using a so-called Chebeyshev filter The 3dBNLP second order NLP Chebeyshev transfer function is: 0.5012 2 +0.6449s+0.7079 Cheb3dBNLP(s) The Chebeyshev filter has some ripple in the passband but has better roll off, more attenuation in the stop band. If one can tolerate some ripple (sort of like a bouncy car ride) in the passband Chebeyshev filters typically have lower order than Butterworth filters. But, Butterworth filters have NO ripple...