Exam2-1_Spring 2007

# Exam2-1_Spring 2007 - The impulse response of each filter...

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1 Exam #2 ELCT 321 Digital Signal Processing April 19, 2007 Your Name: ___________________________________ Student ID Number : ____________________________ Your E-mail: ___________________________________ Problem Your Score Assigned Score 1 20 2 25 3 25 4 30 Total 100 HW #5 HW #6 Absence

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2 1. Determination of the Linear Time-Invariant System (20 pt) Consider an input and output equation described below: (a) Determine if the systems described above is linear or nonlinear . (In order to receive full credit, please provide your rationale based on the definition of linear systems .) (10 pt) (b) Determine if the systems described above is time-variant or time-invariant . (In order to receive full credit, please provide your rationale based on the definition of time invariant systems .) (10 pt)
3 2. FIR Filter (Cascaded Systems) (25 pt) Consider an interconnected LTI system, composed of two cascaded FIR Filters

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Unformatted text preview: The impulse response of each filter are defined as follows: (a) Determine the input and output equation in terms of x [n] and w [n] (5 pt) (b) Determine the input and output equation in terms of w [n] and y [n] (5 pt) 4 (c) Determine the input and output equation in terms of x [n] and y [n] (5 pt) (d) Determine output of the system y [n] if the input signal x [n] is given as follows (10 pt) : 5 3. Z-transform and Inverse Z-transform (25 pt.) Determine y[n] 6 4. Difference Equation (30 pt.) Consider a difference equation described as follows: (a) Determine the transfer function H(z) of the system. (5 pt.) (b) Determine the poles and zeros of the system. (5 pt.) (c) Determine the output the system y[n], when the input signal to the system is provided below (20 pt.)...
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Exam2-1_Spring 2007 - The impulse response of each filter...

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