2008.practice.midterm1.SOLUTIONS - ECE 2704: PRACTICE...

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Unformatted text preview: ECE 2704: PRACTICE MIDTERM EXAM 1 Name: ____________________________________________________________ Signature:__________________________________________________________ NOTES: 1. One handwritten 8.5x11 sheet of paper is permitted. It must be your own handwriting. Electronic printing and photocopying is strictly prohibited. 2. Scores are based on correctness and clarity of presentation. 3. No calculators are allowed. 4. Put a box around your answers. 1. For Solution and , compute the product in polar and Cartesian coordinates and , thus 2. Express Compactly using unit step functions Solution 3. Are the following functions even, odd, or neither (a) (b) Solution (a) Odd (b) Even 4. Let be the impulse response of a linear timeinvariant system. If . is the input to the system, compute the corresponding output. Solution Note that 5. Let the signal shown in Figure 4 be , and define 1 1 (a) Compute 0 Figure 4. 1 in it. as a function of . That is, your answer should have Solution The problem is most easily addressed by determining how a timeshifted integral. That is, Thus, behaves under an (b) Clearly sketch Solution . 2 2 0 2 ...
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This note was uploaded on 03/20/2008 for the course ECE 2704 taught by Professor Djstilwell during the Spring '08 term at Virginia Tech.

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