Problem

We wish to design a discrete-time lowpass filter using the bilinear transformation on a...

We wish to design a discrete-time lowpass filter using the bilinear transformation on a continuous-time ideal lowpass filter. Assume that the continuous-time prototype filter has cutoff frequency rad/s, and we choose the bilinear transformation parameter T = 0.4 ms.What is the cutoff frequency ωc for the resulting discrete-time filter?

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