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Unformatted text preview: EE301 Signals and Systems In-Class Exam Exam 3 Thursday, Apr. 21, 2011 Cover Sheet Test Duration: 75 minutes. Coverage: Chaps. 5,7 Open Book but Closed Notes. One 8.5 in. x 11 in. crib sheet Calculators NOT allowed. All work should be done on the sheets provided. You must show all work for each problem to receive full credit. Plot your answers on the graphs provided. VIP Note Regarding DTFT Plots: The abscissa in each plot is the frequency axis. Ignore the numbers at the bottom. For each plot, the abscissa goes from- 2 π to +2 π with tic marks every π/ 8 . There is a dashed vertical line at ω =- π and another dashed vertical line at ω = + π . You only have to plot over- π < ω < π . 1 Multiple Choice Question 1. Circle EVERY answer that is correct: Primary differences between the CTFT and the DTFT include (a) The time-domain variable for the DTFT is a discrete (integer-valued) variable for the DTFT whereas it is continuous-valued for the CTFT (b) The DTFT is always periodic with period 2 π whereas the CTFT is generally not periodic except under special conditions (c) The DTFT is a summation over time whereas the CTFT is an integration over time (d) The inverse DTFT is a summation over frequency whereas the inverse CTFT is an integration over frequency (e) The highest frequency for the DTFT is effectively π whereas the highest frequency for the CTFT is ∞ Multiple Choice Question 2. Circle EVERY answer that is correct: Properties of the CTFT that are very different for the DTFT are (a) Time-Scaling Property (b) Convolution Property (c) Differentiation-in-Time Property (d) Frequency-Shift Property (e) Time-Shift Property (f) Duality Property Multiple Choice Question 3. Circle EVERY answer that is correct. (a) When you pass an analog signal through an LTI filter, the Nyquist rate for the output signal is greater than the Nyquist rate for the input signal....
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This note was uploaded on 02/19/2012 for the course ECE 301 taught by Professor V."ragu"balakrishnan during the Spring '06 term at Purdue.
- Spring '06