Assignment 1 2009

# Assignment 1 2009 - ± = ³ 2 ± µ³ µ± ⁄ Show that...

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Problem 1 : (10 points) For the signal x ( t ) illustrated below, Sketch the signals. (a) x (- t ) (b) x ( t +6) (c) x (3 t ) (d) x ( t /2) Problem 2 : (10 points) Consider the system whose input-output relationship is given by the linear equation ? ( ± ) = ²³ ( ± ) + ´ where x ( t ) and y ( t ) are input and output of the system, respectively, and a and b are constants. Is this system linear? If not, under what condition that the system will become linear? Problem 3 : (10 points) A system is specified by its input-output relationship as
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Unformatted text preview: ? ( ± ) = ³ 2 ( ± ) µ³ µ± ⁄ Show that the system satisfies the homogeneous property but not the additive property. Problem 4 : (10 points) A system is given by ? ( ± ) = µ µ± ³ ( ± − 1) (a) Is the system linear? Justify your answer. (b) Is the system causal? Justify your answer. (c) Is the system time invariant? Justify your answer....
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