k y d (Σ C1 dt dt Figure 2: A sample system.

Write the mathematical expression of the periodic signal given below. Calculate and plot the Fourier Transform X (jw) of periodic signal given below. 2 WWW- ... ... -1 -2 -2.5 -2 -1.5 -1 -0.5 0.5 1 1.5 2 2.5 t (sec) (1) x

The water temperature in a river is measured every 6 minutes for 3 hours. Select ALL of the following statements that could be made using a discrete Fourier transform to calculate the power spectrum of the measured data: A) the period of the data's dominant frequency is T = 1 minute B) the period of the data's dominant frequency is T – 3 minutes C) the period of the data's dominant frequency is T = 6 minutes D) the period of the data's domainant frequency is T - 12 minutes E) the period of the data's dominant frequency is T - 12 minutes F) the period of the data's domieant frequency is T - 3 hours G) the period of the data's dominant frequency is T - 6 hours

Find out the expression of the Fourier Transform of the given function.