Sample Midterm

Sample Midterm - Given an LTI system: 1 h [ n] = M M k =1 [...

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Unformatted text preview: Given an LTI system: 1 h [ n] = M M k =1 [ n - k] x ( n ) = A cos ( 0 n + ) a. Find the system frequency response of this system, put the result in phase-magnitude form. b. Find the system response, y[n], to the input: c. What type of filter is this system? (low-pass, high-pass, or band-pass), support your answer? Compute the following Simple Discrete Time Convolution graphically: 0 * 0 Problem Consider a system with the following input-output relationship: y [ n ] - ay [ n - 1] = x [ n ] y [ 0] = 1 a. Determine whether the system is time invariant? b. Determine whether the system is linear. c. Given y [ n ] - ay [ n - 1] = x [ n ] y [ 0] = 0 Does the answer to parts b and c change? If yes, why? Find the impulse response of the system below: H(e j )= 1 0 < /2 /2 < x H (-1)n + True/False, multiple choice problems about causality, time-invariance, time-frequency shifts, Fourier Transform properties etc. ...
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Sample Midterm - Given an LTI system: 1 h [ n] = M M k =1 [...

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