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    Parameter of the rectangular pulses has changed

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    A spectrum analyzer is connected to a signal that is known to consist of randomly occurring rectangular pulses. The vertical axis of the spectrum analyzer is calibrated in dBm.
    The spectrum analyzer has the following display:
    A continuous spectrum with magnitude 0 dBm at 0 Hz and zero magnitude at 2 kHz, 4 kHz, 6 kHz, 8 kHz....
    a. What is the width of the pulses in milliseconds?
    b. If the magnitude of the spectrum increases to +6 dBm at 0 Hz, what is the increase in the voltage of the rectangular pulses?
    c. The location of the zeroes in the spectrum suddenly changes to 5 kHz, 10 kHz, 15 kHz....
    What parameter of the rectangular pulses has changed and what is its new value?
    d. What is the shape of the spectrum displayed by the spectrum analyzer?

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    Solution Preview

    ** Please see the attached file for the complete solution response **

    a. The waveform displayed (for randomly occurring rectangular pulses) is the classic waveform see below.
    (please see the attached file)

    Where the zero (minimal) power points in the frequency plot are given by
    (please see the attached file)

    where (please see the attached file) represents the (please see the attached file) zero power spectrum point on the frequency axis and (please see the attached file) represents the common pulse duration of the (please see the attached file) rectangular pulses.

    We are told that the zero crossings ...

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