EE2111_A03_SOL5

EE2111_A03_SOL5 - EE2111 Homework #5 A03 Assigned 25...

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EE2111 Homework #5 A03 Assigned 25 September 03 Due 1 October 03 Problem 1 . Hambly P6.3 Solution: Shown below is matlab code to plot the function () () = + = 19 , , 3 , 1 2 2 2000 cos 1 8 1 Λ n t t n n t v π n=1000; t = 0:0.002/n:0.002; v = 1 +(8/(pi*pi))*cos(2000*pi*t); for k = 1:9 n = 1 + 2*k; v = v +(8/(n*n*pi*pi))*cos(2000*n*pi*t); end plot(t,v) This code generates the following plot:
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Problem 2 . Hambly P6.8 Solution: The pharos for the input and output voltages are: 0 0 20 1 , 25 2 = = out in V V The transfer function for f = 5000 Hz is () 0 45 5 . 0 5000 = = in out V V H Problem 3 . Hambly P6.16 Solution: The half power frequency of the filter is Hz RC f B 500 2 1 = = π The transfer function is given by Equation 6.9 in the text () () B f f j f H / 1 1 + = The given input signal is () ( ) ( ) ( ) t t t t v in 2000 cos 5 1000 cos 5 500 cos 5 + + = which has components at 250, 500 and 1000 Hz. Evaluating the transfer function at these frequencies yields:
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EE2111_A03_SOL5 - EE2111 Homework #5 A03 Assigned 25...

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