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.
1 answer:
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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