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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 phasemagnitude form. b. Find the system response, y[n], to the input: c. What type of filter is this system? (lowpass, highpass, or bandpass), support your answer? Compute the following Simple Discrete Time Convolution graphically: 0 * 0 Problem Consider a system with the following inputoutput 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, timeinvariance, timefrequency shifts, Fourier Transform properties etc. ...
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 Spring '07
 Vaidya
 Frequency

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