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# ps5 - (1 2rl cos fll r(z2 z2r2 cos Q2 rg =(z2 t2rl cos Cll...

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Problem 2 (15 points): The Bode plot of a stable discrete - time filter is shown below. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1 1 1 o O 10' Frequency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . , 1 1 1 1 o O 1 Frequency a) What is the transfer function G(z) of this filter? Explain how you estimated the filter transfer function from the given Bode plot. Sketch the filter poles and zeros on the zplane.

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Problem 3 (20 points): This problem considers six transfer functions. These are 1 - 2rl cos R1 + rf H5(z) = z2 - z2rl cos + r: where rl = 0.99 and Q1 = 0.2. (1 - 2rl cos

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Unformatted text preview: (1 - 2rl cos fll + r;)(z2 - z2r2 cos Q2 + rg) = (z2 - t2rl cos Cll + r:)(l - 27-2 cos R2 + T;) where rl = 0.99 and Q1 = 0.2, as before, and 7-2 = 0.99 and f12 = 0.05. On two pages attached to the end of this exam are six step responses and six frequency response (Bode) plots. These plots are labeled A, B, C, D, E, F; and I, 11, 111, IV, V, VI; respectively. For each of the transfer functions above, indicate which are the corresponding step and frequency responses. Your answer should take the form of a number from 1-6 for each transfer function followed by a capital letter indicating the corresponding step response, followed by a Roman numeral indicating the corresponding frequency response. Wrong answers will count as zero; no partial credit will be given in this problem....
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