A#14 - Due Fri 03/20/09 6(9). Find an expression for ) ( H...

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Assignment #14 – p.1 ECSE-2410 Signals & Systems - Spring 2009 Due Fri 03/20/09 1(24). Sketch the straight-line Bode Magnitude plot. Label all key magnitude, frequency and slope values. Check the slopes of () ω H when 0 and when . (a) () + + = 50 1 10 1 100 ωω j j j H (b) () ( ) + + + = 10 1 1 . 0 1 1 50 j j j j H c) () () 2 10 1 1 10 + + = j j j H 2(24). Text 6.51 3(16). Using the Bode magnitude approximation find the approximate magnitude of () H at (a) 10 10 = , where () () + + + = 10 1 1 100 1 100 j j j H . (b) 5 = , where () () + + = 10 1 1 100 j j H 4(9). At what frequency, c = , is the magnitude of () ( ) + + + = 10 1 5 1 1 j j j H equal to zero ? dB 5(9). Sketch the straight-line Bode magnitude plot for the frequency response function, ( ) H , of the circuit, 1 . 0 = C 1 2 = R 9 1 = R () t x ( ) t y + +
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Assignment #14 – p.2 ECSE-2410 Signals & Systems - Spring 2009
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Unformatted text preview: Due Fri 03/20/09 6(9). Find an expression for ) ( H so that the straight-line Bode magnitude diagram shown crosses the -axis at dB 100 = , as shown. Calculate all terms in your expression. Assume ) ( H is minimum phase, i.e., all terms in H ( ) have positive signs. 7(9). Find the equation of the frequency response function H ( ) whose straight-line Bode magnitude plot is shown below. Evaluate all terms in H ( ). Assume the system is minimum phase, i.e., all terms in H ( ) have positive signs. dB in ) ( H 6 1 5 40 40 dB/decade dB H in ) ( 20 dB/decade 20 dB/decade 40 dB/decade 100 10 K 0.01 0.1 1 10 1000 +20dB/decade -40dB/decade...
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This note was uploaded on 05/03/2009 for the course ECSE 2410 taught by Professor Wozny during the Spring '07 term at Rensselaer Polytechnic Institute.

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A#14 - Due Fri 03/20/09 6(9). Find an expression for ) ( H...

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