Question: 1) i) Suppose we design a discrete-time filter using the impulse invariance technique with an ideal continuous-time lowpass filter as a prototype. The prototype

1) i) Suppose we design a discrete-time filter using the impulse invariance

1) i) 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 2 = 27(1000) rad/s and the impulse invariance transformation uses T = 0.2 ms. What is the cutoff frequency o for the resulting discrete-time filter? ii) 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 2, = 27(2000) rad/s and we choose the bilinear transformation parameter T = 0.4 ms. %3D What is the cutoff frequency w, for the resulting discrete-time filter?

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