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 the following: a) 1st order cascade solution b) butterworth solution c) chebychev solution

Solution

a)

given cutoff frequency=25Khz

f_c=1/2*pi*RC

let us assume C=0.01uf

R=1/2*PI*R*f_c

_{R=1/2*3.14*25*1000*0.01*10^-6}

_R=0.636kohm