Consider the following second order systems modeled by the following differen- tial equations: 1) g” (t) – 6g' (t) + 6x(

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Consider The Following Second Order Systems Modeled By The Following Differen Tial Equations 1 G T 6g T 6x 1 (81.89 KiB) Viewed 51 times

Consider the following second order systems modeled by the following differen- tial equations: 1) g” (t) – 6g' (t) + 6x(t) = x^ (t) + 2x(t) 2) g" (t) – 6g' (t) + 6x(t) = 2x(t) 3) y""(t) – 3y'(t) + 6y(t) = x(t) = Answer to the following questions for each system 1. What is the frequency response of the system? 2. Is this a low-pass, high-pass, or some other kind of filter ? 1 3. At what frequency will the output be attenuated by from its maximum V2 (the cutoff frequency)? 4. If the system is a band pass or a stop pass filter determine its bandwidth. a 5. If the input to the overall system is the signal is T. æ(t) = 2 cos(2t+) - sin(4t+ ő) what is the frequency output response? 7T 6