GATE Electronics and Communications (EC) 2017 Shift 1 Solved Paper

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Question : 41 of 65
 
Marks: +1, -0
Let x(t) be a continuous time periodic signal with fundamental period T = 1 seconds. Let {ak} be the complex Fourier series coefficients of x(t), where k is integer valued. Consider the following statements about x(3t):
I. The complex Fourier series coefficients of x(3t) are {ak} where k is integer valued
II. The complex Fourier series coefficients of x(3t) are {3ak} where k is integer valued
III. The fundamental angular frequency of x(3t) is 6Ï€ rad/s
For the three statements above, which one of the following is correct?
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