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Exponentials Steps Impulse Signals Exercises

April 28, 2019 by allsignal

Exponentials Steps Impulse Signals Exercises

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  1. Question 1 of 10
    1. Question

    The symbol u(t) denotes a \_\_\_\_\_\_\_\_\_\_\_  signal.

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  2. Question 2 of 10
    2. Question

    The symbol \delta(t) denotes a  \_\_\_\_\_\_\_\_\_\_\_  signal.

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  3. Question 3 of 10
    3. Question

    A signal x(t) = e^{st} is a  \_\_\_\_\_\_\_\_\_\_\_.

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  4. Question 4 of 10
    4. Question

    An exponential signal is defined as x[n] = Az^n. Which value for z results in the signal whose magnitude decays the fastest as n increases?

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  5. Question 5 of 10
    5. Question

    A signal x[n] = (0.9)^n\cos(\frac{\pi}{8} n). Write this signal as a sum of two exponentials, x[n] = A_1 z_1^n + A_2 z_2^n and identify the correct values of A_1, z_1, A_2, z_2.

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  6. Question 6 of 10
    6. Question

    The signal depicted below is an exponentially-damped sinusoid of the form x(t) = e^{at} \cos(2\pi f t).  The value x(1) = 0.4493. Enter f.

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  7. Question 7 of 10
    7. Question

    The signal depicted below is an exponentially-damped sinusoid of the form x(t) = e^{at} \cos(2\pi f t).  The value x(1) = 0.4493. Enter a.

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  8. Question 8 of 10
    8. Question

    Which of the following choices describes the signal shown below?

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  9. Question 9 of 10
    9. Question

    Which of the following choices describes the signal shown below?

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  10. Question 10 of 10
    10. Question

    Use the sifting property of the impulse to evaluate

     b = \int_{-\infty}^\infty x(t) \delta(t-a) dt

    for x(t) = 2e^{-t}\cos(\pi t) if a = 1.

    Correct
    Incorrect

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