Solution3

Solution3 - EE 200 Fall 2009 (Weber) Homework 3 Solutions...

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Unformatted text preview: EE 200 Fall 2009 (Weber) Homework 3 Solutions 1. a. Linear time-invariant e. Linear time-invariant b. Linear (not time-invariant) f. Time-invariant (not linear) c. Linear (not time-invariant) g. Time-invariant (not linear) d. Linear time-invariant h. Time-invariant (not linear) 2. The normalize radian frequency for this signal is = 0 . 3 where = f s = 2 f f s Aliases can occur at 2 k + and 2 k- ( k = any integer). Try a few values of k and see which ones result in f being below 1500Hz. 2 (0) + 0 . 3 = 2 f f s . 3 = 2 f 1000 f = 150 Hz. 2 (1) + 0 . 3 = 2 f f s 2 . 3 = 2 f 1000 f = 1150 Hz. 2 (1)- . 3 = 2 f f s 1 . 7 = 2 f 1000 f = 850 Hz. Therefore the following three signals will all result in the same sampled signal: x 1 ( t ) = 4 cos(2 150 t- / 4) x 2 ( t ) = 4 cos(2 1150 t- / 4) x 3 ( t ) = 4 cos(2 850 t- / 4) 3. Use the trig identy cos( + ) + cos( - ) = 2 cos(...
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This note was uploaded on 02/26/2010 for the course EE 30446 at USC.

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Solution3 - EE 200 Fall 2009 (Weber) Homework 3 Solutions...

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