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12 April, 03:28

Problem 2 (a) A sinusoid with a frequency of 2Hz is applied to a sampler/zero-order hold combination. The sampling rate is 10Hz. List all the frequencies present in the output that are less than 50Hz. (b) Repeat part (a) if the input sinusoid has a frequency of 8 Hz.

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  1. 12 April, 07:06
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    Answer & Explanation:

    (a) Frequency of 2Hz is applied to a sampler/zero-order hold combination

    The sampling rate is 10Hz

    List of all the frequencies present in the output that are less than 50Hz.

    Adding:

    fs + fm = 10 + 2

    = 12 Hz

    2fs + fm = 2 * 10 + 2

    = 22 Hz

    3fs + fm = 3 * 10 + 2

    = 32 Hz

    4fs + fm = 4 * 10 + 2

    = 42 Hz

    Subtracting:

    fs - fm = 10 - 2

    = 8 Hz

    2fs - fm = 2 * 10 - 2

    = 18 Hz

    3fs - fm = 3 * 10 - 2

    = 28 Hz

    4fs - fm = 4 * 10 - 2

    = 38 Hz

    5fs - fm = 5 * 10 - 2

    = 48 Hz

    (b) Frequency of 8Hz is applied to a sampler/zero-order hold combination

    The sampling rate is 10Hz

    List of all the frequencies present in the output that are less than 50Hz.

    Adding:

    fs + fm = 10 + 8

    = 18 Hz

    2fs + fm = 2 * 10 + 8

    = 28 Hz

    3fs + fm = 3 * 10 + 8

    = 38 Hz

    Subtracting:

    fs - fm = 10 - 8

    = 2 Hz

    2fs - fm = 2 * 10 - 8

    = 12 Hz

    3fs - fm = 3 * 10 - 8

    = 22 Hz

    4fs - fm = 4 * 10 - 8

    = 32 Hz

    5fs - fm = 5 * 10 - 8

    = 42 Hz
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