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Design an analog Butterworth filter that has $-2 \mathrm{dB}$ passband attenuation at frequency of 20 rad/sec and atleast $-10 \mathrm{dB}$ stopband attenuation at $30 \mathrm{rad} / \mathrm{sec} .$
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Given: Pass band attenuation: $-2 \mathrm{dB}$jm

Gain at Pass-band edge $: A_{p}=10^{-2 / 20}=0.7943 $

Stop band attenuation $: \geq-10 \mathrm{dB}$

Gain at Stop-band edge $:A_{s}=10^{-10 / 20}=0.3162$

Step 1: Pre-warp Analog Frequency

Since the given frequencies are in rad/sec, they must be Pre-warp analog frequencies

Pass-band edge $\Omega_{p}=20$

Stop-band …

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