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Suppose that we have an ideal discrete-time lowpass filter with cutoff frequency ωc = π/...

Suppose that we have an ideal discrete-time lowpass filter with cutoff frequency ωc = π/4. In addition, we are told that this filter resulted from applying impulse invariance to a continuous-time prototype lowpass filter using T = 0.1 ms. What was the cutoff frequency for the prototype continuous-time filter?

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