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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( t )+2cos(3 t )+cos(8 t ). Find the Nyquist sampling frequency, s , which guarantees that x ( t ) can be recovered from its samples. 2(10). Find the largest sampling frequency, s , so that the signal x ( t )=cos(10 t ), when sampled and appropriately filtered, i.e.,with cutoff frequency, s c 2 1 = . has an alias frequency of =5 rad/sec. 3(15). Sketch the straight-line Bode magnitude plot for ( ) + + + = 1 50 1 1 1 . 50 ) ( j j j j H . Label all key magnitude, frequency and slope values. 4(10). Find the equation of the frequency response function H ( ) whose straight-line Bode magnitude plot is shown below. Evaluate all constants. Assume the system is minimum phase, i.e., all terms in H ( ) have positive signs.....
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