Question

Considering the below single period data for a periodic function with period 4 seconds, what is the sampling frequency, FS?

Y = [08500 08374 0.5053 -0 0370 -0.5522 -0 8000 -0.6758 -0 2721 01817 0.4570 0.4500 0.2143 -0.1036 -0.3648 -0.4995 -0.5000 -0.3759 -0. 1297 0.22000 0.5947)

Answer 1

The sampling frequency, FS, can be determined by taking the reciprocal of the period T. In this case, the period is given as 4 seconds, so the sampling frequency is 0.25 Hz.

Step-by-step explanation:

The sampling frequency, FS, for a periodic function can be determined using the relationship between the period (T) of the function and frequency (f). With a given period of 4 seconds, we can calculate the frequency of the data sampling. The frequency is the number of samples taken per second, and is therefore the reciprocal of the period.

Calculation:

1. Determine the period (T) of the periodic function which is given as 4 seconds.
2. Use the formula f = 1/T to calculate the sampling frequency (FS).
3. Substitute the value of T into the formula to find f.

Therefore, FS = 1/T = 1/4 seconds, yielding a sampling frequency of 0.25 Hz.