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. 10b. 20c. 200d. 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. 10b. 20c. 200d. 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 fields such as music information retrieval (MIR), speech processing, etc.
Given:
- Sampling rate (fs) = 20000 Hz
- Sinusoid signal frequency (f) = 1000 Hz
The period of the sinusoid signal (T) = 1/f = 1/1000 = 0.001 seconds
The number of samples in one period (N) = T * fs = 0.001 * 20000 = 20 samples
The zero crossing happens twice in each period for a sinusoidal signal (once from positive to negative, and once from negative to positive). So, the zero crossing value for one period is 2.
If we want to find out the zero crossing value for 100 periods, we simply multiply the zero crossing value for one period by 100.
Zero crossing value for 100 periods = 2 * 100 = 200
So, the correct option is c. 200.
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