Design a lowpass filter that has a 6dB passband gain a cutof

Design a lowpass filter that has a 6dB passband gain, a cutoff frequency of 25 KHz and stop band gain less than -40dB one decade after the cutoff frequency.

For: a) 1st order cascade solution

b) butterworth solution

c) chebychev

Solution

a) low pass filter = 1 / 1+ 25s

b) butter worth solution = 6 ( 1 +25s)/( 1-54s)

c) chebychev = 5( 1+ 35s)/(1+16s)