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Unformatted text preview: h ( t ) = I [0 , 1] ( t ). Problem 4 (20 points) Let x ( t ) denote a periodic function with fundamental period 6, specied as follows: x ( t ) = W 2 , < t < 21 , 2 < t < 6 4(a) 10 points Find the complex exponential Fourier series { a k } for x ( t ) and specify the value of the fundamental frequency in radians/sec. Simplify your expression for the Fourier series coecients as much as possible. 4(b) 5 points Set x 1 ( t ) = x (2 t + 4). What is the fundamental period T 1 of x 1 ( t )? Sketch x 1 ( t ) over the interval [T 1 , T 1 ], carefully labeling the axes. 4(c) 5 points Find the complex exponential Fourier series for x 1 ( t ), specifying the fundamental frequency 1 ....
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This note was uploaded on 08/06/2008 for the course ECE 130A taught by Professor Madhow during the Fall '07 term at UCSB.
 Fall '07
 MADHOW

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