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ECE · Q102

Signal Processing

Engineering and GATE · ECE · question 102

Q102

Let x(t) be a periodic function with period T = 10. The Fourier series coefficients for this series are denoted by a_k , that is x ( t ) = _k = - ^ a_ke^jk2 Tt . The same function x(t) can also be considered as a periodic function with period T' = 40. Let bk be the Fourier series coefficients when period is taken as T'. If _k = - ^ | a_k | = 16, then _k = - ^ | b_k | is equal to

Let x(t) be a periodic function with period T = 10. The Fourier series coefficients for this series are denoted by , that is

The same function x(t) can also be considered as a periodic function with period T' = 40. Let bk be the Fourier series coefficients when period is taken as T'. If    then   is equal to
A.
256
B.
64
C.
16
Answer
D.
4

Answer: Option C

Solution

Answer: Option C
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