Assume the sampling rate is 20000 Hz, sinusoid signal frequency is 1000 Hz. Calculate the zero crossing value for 100. Choose correct option from the following:Select one:a. 20b. 200c. 10d. 100
Question
Assume the sampling rate is 20000 Hz, sinusoid signal frequency is 1000 Hz. Calculate the zero crossing value for 100. Choose correct option from the following:Select one:a. 20b. 200c. 10d. 100
Solution
The zero crossing rate is the rate at which a signal changes from positive to negative or back. This is a common feature used in many audio and speech processing algorithms.
Here's how you can calculate it:
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First, you need to know the period of the sinusoid signal. The period (T) of a sinusoid signal is the reciprocal of its frequency (f). So, T = 1/f. Given that the frequency of the sinusoid signal is 1000 Hz, the period would be 1/1000 = 0.001 seconds.
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Next, you need to calculate how many samples represent one period of the sinusoid signal. Given that the sampling rate is 20000 Hz, which means there are 20000 samples per second, the number of samples for one period would be 0.001 * 20000 = 20 samples.
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The zero crossing rate is the number of times the signal crosses zero in one period. For a sinusoid signal, it crosses zero twice in one period.
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Therefore, for 100 periods, the zero crossing value would be 100 * 2 = 200.
So, the correct answer is b. 200.
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