# A#14 - i.e the straight-line Bode plot(both magnitude and...

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Assignment #14 ECSE-2410 Signals & Systems - Spring 2007 Fri 03/23/07 1(30). Consider the transfer function () ( ) () ω j + j + j + j = H 50 100 1 10 10 2 . Using Bode approximations , find the values for the indicated operations: (a) (b) (c) (d) . | H(5) | | H(15) | | 0) H( | 6 H(10) Find (e) | ) H( | as , and (f) ) H( as . 2 (30). To see the effects of different poles and zeros i.e., break frequencies, sketch the straight-line Bode plots (magnitude and phase) AND the pole-zero plots for each case below, where the transfer function has the form b s + 1 a s + 1 K = H(s) . a.) K = 1, a = 10, b = 5. b.) K = 1, a = 10, b = 40 c.) K = 2, a = 10, b = 5 3(25). Given the transfer function, s) + ( s + s 10 = H(s) 1 ) 16 ( 2 + a)(6). Find the damping ratio and the natural frequency ( ζ n and ) from the quadratic term in the denominator. b)(19). Let j = s and draw the asymptotic (

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Unformatted text preview: i.e. , the straight-line) Bode plot (both magnitude and phase plots) for this transfer function. Draw the asymptotic plot on top of the actual (exact) plot obtained from MATLAB. Include your name in the title of the plot. Clearly label your plots with the break frequencies and the slopes of the asymptotes (decibels/decade or degrees/decade). Compare your straight-line Bode plot with the actual plot obtained from MATLAB. Assign#14. p.1 4(15). Find an expression for ) ( ω H so that the straight-line Bode magnitude diagram shown crosses the -axis at dB 100 = . Calculate all terms in your expression. Assume ) ( H is minimum phase. 40 dB /decade dB H in ) ( 100 10 K 0.01 0.1 1 10 1000 40 dB /decade 20 dB /decade 20 dB /decade ω Assign#14. p.2...
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## This homework help was uploaded on 04/10/2008 for the course ECSE 2410 taught by Professor Wozny during the Spring '07 term at Rensselaer Polytechnic Institute.

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A#14 - i.e the straight-line Bode plot(both magnitude and...

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