Reference no: EM131151119
Answer the following questions:
1. Graphically convolve the following two functions:
2. Consider the continuous time signal
x(t) = 3 cos 600 ∏t + 2 cos 1800∏t
a) Determine the Nyquist rate for the signal x(t).
b) Suppose that the signal is sample at fs = 2000 Hz, what is the discrete-time signal obtained after the sampling? What are the frequencies in the resulting discrete-time signal?
c) If the sampling rate is fs = 600Hz, then what is the maximum frequency that can be recovered from the discrete-time signal?
3. Solve for system response y(t)
(d2y(t)/dt2) + 2(dy(t)/dt)+5y(t)= -8x(t)
y(0-)=1, y'(0-)=0, x(t)=e-3tu(t)
4. Find the response of the system described by the following difference equation:
y[k] + 0.7y[k - 1] - 0.3y[k - 2] = 2δ[k]
y[0] = 2, y[-1] = 1, x[k] = δ[k]
5. Find the transfer function H(s) of the filter represented by the following Bode plot. Write your reasons.
6. find the transfer functiom H(s) of the following block diagram:
7. The impulse response of a system is given by
h(t)= (e-t-e-2t)u(t)
Determine the response to the following input:
x(t)=u(t)-u(t-2).
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