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. 100d. 200

The zero crossing rate is the rate at which a signal changes from positive to negative or back. This is a feature used in both speech recognition and music information retrieval and can be used to classify sounds.

Given a sinusoidal signal with a frequency of 1000 Hz, it means the signal completes 1000 cycles in one second.

Since one cycle of a sinusoidal signal includes both a positive half and a negative half, it means the signal crosses zero twice in one cycle.

So, for a 1000 Hz signal, the zero crossing rate would be 1000 cycles/second * 2 = 2000 crossings/second.

However, we are asked to find the zero crossing value for 100. This means we need to find out how many zero crossings occur in 100 samples.

Given a sampling rate of 20000 Hz, this means we are taking 20000 samples per second. So, in 1 second, we have 2000 zero crossings (as calculated above).

Therefore, the number of zero crossings in 1 sample would be 2000 crossings/second / 20000 samples/second = 0.1 crossings/sample.

So, for 100 samples, the number of zero crossings would be 0.1 crossings/sample * 100 samples = 10 crossings.

So, the correct answer is:

a. 10