Assume a continuous-time (\"analog\") Butterworth lowpass-filter realization wit

Question

Assume a continuous-time ("analog") Butterworth lowpass-filter realization with N = 3, by means of a doubly-terminated RLC ladder network. Use the ladder which goes shunt C, then series L, then shunt C, as shown in the table below. Now determine all element values for a filter which has termination resistances of 10,000 ohms and cutoff frequency of 3.5 [10^3] Hz. (This requires a combination of impedance and frequency scaling, starting from the given table.)

Assume a continuous-time ("analog") Butterworth lowpass-filter realization with N-3, by means of a doubly-terminated RLC ladder network. Use the ladder C, as shown in the table below. Now determine all element values foir a filter which has termination resistances of 10,000 ohms and cutoff frequency of 3.5 [103] Hz. (This requires a combination of impedance and frequency scaling, starting from the given table.)

Explanation / Answer

c1=c3=28.57nF

L2=5714.2mH

{

kf =desired reference frequency/existing reference frequency

a1=c1=1

a2=l2=2

a3=c3=1

new c1*=old c1/kf

new l2*= old l2/kf

new c3*= old c3/kf

kz =desired load impedance/existing load impedance

new c1= new c1*/kz

new l2= new l2*xkz

new c3= new c3*/kz

}

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