I am really confused with the above problem. I doubt the solution.
According to me,
Sampling Frequency of x(t) = HCF(5,12.5) = HCF(5,25)/LCM(1,2) = 5/2 = 2.5Hz
Sampling Frequency of y(t) = 3x2.5 = 7.5Hz
Nyquist Sampling Rate = 2 * 7.5 = 15Hz
Where I am doing the mistake? Please help me with this problem.
EDIT: I got confused because I was taught the following example in class and I tried to use the same here.
Q Find the fundamental time period for
x(t) = sin(22pit)+sin(7pit+30)
f = HCF(11,7/2) = HCF(11,7)/LCM(1,2) = 1/2
T = LCM(1/11,2/7) = LCM(1,2)/HCF(11,7) = 2
So, Fundamental Time Period = 2 using either of the above methods.
Is there a difference between sampling frequency and the fundamental frequency ?