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Sinusoidal Signals Exercises

April 26, 2019 by allsignal

Sinusoidal Signals Exercises

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  1. Question 1 of 15
    1. Question

    Frequency is \_\_\_\_\_\_\_\_\_\_\_  proportional to fundamental period.

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  2. Question 2 of 15
    2. Question

    Continuous-time sinusoids with distinct frequencies are

    \_\_\_\_\_\_\_\_\_\_\_.

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  3. Question 3 of 15
    3. Question

    Discrete-time sinusoids with distinct frequencies are \_\_\_\_\_\_\_\_\_\_\_.

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  4. Question 4 of 15
    4. Question

    Discrete-time frequency is measured in units of \_\_\_\_\_\_\_\_\_\_\_.

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  5. Question 5 of 15
    5. Question

    A complex sinusoid x[n] = Ae^{j\pi n/8} has real part given by a \_\_\_\_\_\_\_\_\_\_\_.

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  6. Question 6 of 15
    6. Question

    Find the fundamental frequency of the signal depicted below.

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  7. Question 7 of 15
    7. Question

    Select the two following discrete-time sinusoids that are identical.

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  8. Question 8 of 15
    8. Question

    A continuous-time sinusoid x(t) = 4\cos(\Omega_o t + \pi/8) is sampled to produce a discrete-time sinusoid x[n] = x(nT).  Find the frequency \omega_o in rads of the discrete-time sinusoid for \Omega_o = 4\pi rads/sec,  T = 0.1 secs.

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  9. Question 9 of 15
    9. Question

    The fundamental frequency of a trumpet note x(t) is f_c Hz.

    Find the fundamental frequency in units of rads/sec if f_c =880 Hz.

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  10. Question 10 of 15
    10. Question

    The fundamental frequency of a trumpet note x(t) is f_c Hz.

    You sample x(t) at an interval T = 10^{-4} sec to obtain x[n]. What is the fundamental frequency of x[n] if f_c = 880 Hz.

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  11. Question 11 of 15
    11. Question

    Find the fundamental period of x(t) = \cos(\pi t).

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  12. Question 12 of 15
    12. Question

    Find the fundamental period of y(t) = \sin(2\pi t/3).

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  13. Question 13 of 15
    13. Question

    Find the fundamental period of z(t) = \cos(\pi t) + \sin(2\pi t/3).

    Hint: if a signal x(t) has fundamental period T_x, then it also is periodic with period mT_x where m = 1, 2, 3, \ldots.

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  14. Question 14 of 15
    14. Question

    The sound file SaxA.wav contains a brief recording of an alto saxophone playing the musical note A.  Listen to the sound.  A 22.65 ms section of this note is depicted below.

    https://allsignalprocessing.com/wp-content/uploads/2016/05/SaxA.wav

    SaxA.wav

    Use the graph to find the fundamental frequency of this note in Hz.  Hint:  measure the time for multiple periods and divide by the number of periods.

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  15. Question 15 of 15
    15. Question

    Problem statements in pdf file here.  Note there are some differences from the quiz questions to map them onto the quiz tool.

    MATLAB code SaxAapprox.m and MATLAB file SaxA_note.mat for extra question in pdf file.

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