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# A#12 - Assignment#12 – p.1 ECSE-2410 Signals& Systems...

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Unformatted text preview: Assignment #12 – p.1 ECSE-2410 Signals & Systems - Fall 2006 Fri 10/24/06 1(5). Consider the signal x ( t )=3cos( π t )+2cos(3 π t )+cos(8 π t ). Find the Nyquist sampling frequency, ω s , which guarantees that x ( t ) can be recovered from its samples. 2(10). Find the largest sampling frequency, ω s , so that the signal x ( t )=cos(10 t ), when sampled and appropriately filtered, i.e.,with cutoff frequency, s c ω ω 2 1 = . has an alias frequency of ω =5 rad/sec. 3(15). Sketch the straight-line Bode magnitude plot for ( ) ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + = 1 50 1 1 1 . 50 ) ( ω ω ω ω ω j j j j H . Label all key magnitude, frequency and slope values. 4(10). Find the equation of the frequency response function H ( ω ) whose straight-line Bode magnitude plot is shown below. Evaluate all constants. Assume the system is minimum phase, i.e., all terms in H ( ω ) have positive signs.....
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A#12 - Assignment#12 – p.1 ECSE-2410 Signals& Systems...

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