Q365
A finite duration discrete-time signal x(n) is obtained by sampling the continuous-time signal x(t) = cos(200πt) at sampling instant t = n/400, n = 0, 1, . . . , 7. The 8-point discrete Fourier transform (DFT) of x(n) is defined as X [ k ] = _n = 0^7 x [ n ]e^ - j kn4,\,k = 0,\,1,\,.....,\,7 Which one of the following statements is true?
A finite duration discrete-time signal x(n) is obtained by sampling the continuous-time signal x(t) = cos(200πt) at sampling instant 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?
Which one of the following statements is true?
A.
Only X(2) and X(6) are non-zero
AnswerB.
Only X(3) and X(5) are non-zero
C.
All X(k) are non-zero
D.
Only X(4) is non-zero
Answer: Option A
Solution
Answer: Option A
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