Using the bilinear transform with prewarping, design a digital lowpass Butterworth filter that satisfies αp = 2 dB, α s = 11 dB, ω p = 100π rad/s, and ω s = 200π rad/s. The highest significant...

Using the bilinear transform with prewarping, design a digital lowpass Butterworth filter that satisfies αp = 2 dB, α_s
= 11 dB, ω_p
= 100π rad/s, and ω_s
= 200π rad/s. The highest significant frequency is 250 Hz. If possible, it is desirable to oversatisfy the requirement of α_s.