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practice_exam2_soln_ed

# practice_exam2_soln_ed - 1 Consider the two impulse...

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1. Consider the two impulse response functions, h 1 ( t ) and h 2 ( t ), shown in the plot on the left below. The plot on the right shows the corresponding | H 1 ( ) | and | H 2 ( ) | for these two functions. Label the two curves in the right plot as either | H 1 ( ) | or | H 2 ( ) | and provide a brief explanation for your answer (calculations are not necessary). 0 0 1

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2. A discrete time system has a transfer function given by the following expression, H [ z ] = 0 . 15 1 - z - 2 1 + 0 . 7 z - 2 Determine the type of filter this system represents and sketch a plot of the amplitude of its frequency response from 0 Ω π . You do not need to label values on the vertical axis – just determine the shape of the curve, but you do need to show your work. 2
3. Suppose that a continuous time sinusoid, sin( ωt ), of frequency 25 Hz is sampled every 5 ms and the resulting signal is sent into a discrete time filter that has the following frequency response, 0 0.2 0.4 0.6 0.8 1 0 -1.5 -1 -0.5 0 0.5 1 1.5 0 Determine the resulting output signal from the filter.

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