Solution_Signal - (1) Simplify 6 / 3 / 4 3 j j e e- +...

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Unformatted text preview: (1) Simplify 6 / 3 / 4 3 j j e e- + Answer: 12 . 3 4 3 4 3 3 arctan 6 / 3 / 5 5 2 4 3 3 2 3 4 3 ) 6 sin 4 3 sin 3 ( ) 6 cos 3 (cos 3 ) 6 sin 6 (cos 4 ) 3 sin 3 (cos 3 4 3 j j j j e e j j j j e e = =- + + =- + + =- + + = + +-- (2) Simplify ) 120 cos( 5 ) 30 cos( 5 ) 90 cos( 5 ) (- +- + + = t t t t x Answer: ) 45 cos( 59 . 2 ) 75 cos( ) 45 cos( 10 ) 120 cos( 5 ) 30 cos( 5 ) 120 cos( 5 ) 60 cos( ) 30 cos( 10 ) 120 cos( 5 ) 30 cos( 5 ) 90 cos( 5 ) (- =- =- + + =- + + =- +- + + = t t t t t t t t t t x (3) A periodic signal is given by the equation ) 3 / 120 cos( 4 ) 60 sin( 3 ) 5 / 40 cos( 4 2 ) ( - + +- + = t t t t x (a) Determine the fundamental frequency and period and the power of x ( t ). (b) Now consider a new signal ). 6 / 50 cos( 10 ) ( ) ( - + = t t x t y Is y ( t ) still periodic? If so, what is the period?...
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This note was uploaded on 01/11/2011 for the course EE 4015 taught by Professor Shuhungleung during the Fall '10 term at City University of Hong Kong.

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Solution_Signal - (1) Simplify 6 / 3 / 4 3 j j e e- +...

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