EC > GATE 2020 > Discrete Fourier Transform
A finite duration discrete-time signal x[n] is obtained by sampling the continuous-time signal x(t)=cos(200πt) at sampling instants t=n/400, n=0,1,...,7. The 8-point discrete Fourier transform (DFT) of x[n] is defined as
Which one of the following statements is TRUE?
A
All X[k] are non-zero.
B
Only X[4] is non-zero.
C
Only X[2] and X[6] are non-zero.
D
Only X[3] and X[5] are non-zero.

Correct : c

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