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# hw13 - Assignment#13 ECSE-2410 Signals& Systems Fall...

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Unformatted text preview: Assignment #13 ECSE-2410 Signals & Systems - Fall 2005 Wed 11/02/05 For problems 1 & 2, use the following Bode phase approximation, ( 29 - < ≈- 1 x , 1 2 1 , tan 1 x x x x π . This approximation comes from the first few terms of the series expansion of ) ( tan 1 x- and is the phase complement to the Bode magnitude approximation. The straight-line phase plot (see text) is not as useful as the straight-line magnitude plot. We are better off sketching a smooth phase curve, based on the known values of phase at the break frequencies. 1(21). Consider ( 29 100 1 10 1 ϖ ϖ ϖ j j H + + = . (a) Sketch the straight-line Bode magnitude plot, ( 29 ϖ H , in dB, and directly under it, sketch a smooth phase plot, ( 29 ϖ H ∠ , in degrees. (b) Find the exact phase, ( 29 ϖ H ∠ , in degrees, at the midpoint between the break (corner) frequencies, i.e., at ( 29 ( 29 10 10 100 10 = = m ϖ rad/sec....
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hw13 - Assignment#13 ECSE-2410 Signals& Systems Fall...

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