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Intro to Linear Time-Invariant Systems Exercises

April 28, 2019 by allsignal

Intro to Linear Time-Invariant Systems Exercises

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  1. Question 1 of 9
    1. Question

    A linear system satisfies the principle of  \_\_\_\_\_\_\_\_\_\_\_.

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  2. Question 2 of 9
    2. Question

    The output of a causal system depends on \_\_\_\_\_\_\_\_\_\_\_ values of the input.  Select the best answer.

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  3. Question 3 of 9
    3. Question

    A system has input x[n] and output y[n].  Which of the following systems are causal?  Select all that apply.

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  4. Question 4 of 9
    4. Question

    A system has input x[n] and output y[n].  Which of the following systems are linear?  Select all that apply.

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  5. Question 5 of 9
    5. Question

    A system has input x[n] and output y[n].  Which of the following systems are time invariant?  Select all that apply.

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  6. Question 6 of 9
    6. Question

    System 1 evaluates the output y_1[n] from the input x[n] as

    y_1[n] = b_0x[n]+b_1x[n-1] + b_2 x[n-2] + b_3 x[n-3]

    where b_0 = 0.25; \;\; b_1 = 0.25; \;\; b_2 = 0.25; \;\; b_3 = 0.25.

    System 1 forms the  \_\_\_\_\_\_\_\_\_\_\_ input values.

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  7. Question 7 of 9
    7. Question

    System 1 evaluates the output y_1[n] from the input x[n] as

    y_1[n] = b_0x[n]+b_1x[n-1] + b_2 x[n-2] + b_3 x[n-3]

    where b_0 = 0.25; \;\; b_1 = 0.25; \;\; b_2 = 0.25; \;\; b_3 = 0.25.  System 1 will  \_\_\_\_\_\_\_\_\_\_\_ rapid fluctuations or high-frequency components of the input signal.

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  8. Question 8 of 9
    8. Question

    System 2 is of the same form but with different coefficients

    y_2[n] = c_0x[n]+c_1x[n-1] + c_2 x[n-2] + c_3 x[n-3]

    The c_k are c_0 = -0.5; \;\; c_1 = 0.5; \;\; c_2 = 0; \;\; c_3 = 0.  System 2 forms the  \_\_\_\_\_\_\_\_\_\_\_ input values.

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  9. Question 9 of 9
    9. Question

    System 2 is of the same form but with different coefficients

    y_2[n] = c_0x[n]+c_1x[n-1] + c_2 x[n-2] + c_3 x[n-3]

    The c_k are c_0 = -0.5; \;\; c_1 = 0.5; \;\; c_2 = 0; \;\; c_3 = 0.  Therefore, System 2 will attenuate  \_\_\_\_\_\_\_\_\_\_\_ components of the input.

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