Question: Suppose we design a discrete-time filter using the impulse invariance technique with an ideal continuous-time lowpass filter as a prototype. The prototype filter has a

Suppose we design a discrete-time filter using the impulse invariance technique with an ideal continuous-time lowpass filter as a prototype. The prototype filter has a cutoff frequency of Ω_c = 2π(1000) rad/s, and the impulse invariance transformation uses T = 0.2 ms. What is the cutoff frequency ω_c for the resulting discrete-time filter?

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