Consider the following statements with respect to Discrete Fourier Transform (DFT): 1. It is obtained by performing a sampling operation in the time domain. 2. It transforms a finite duration sequence into a discrete frequency spectrum. 3. It is obtained by performing a sampling operation in both time and frequency domains. Which of the above statements is/are correct?

Consider the following statements with respect to Discrete Fourier Transform (DFT): 1. It is obtained by performing a sampling operation in the time domain. 2. It transforms a finite duration sequence into a discrete frequency spectrum. 3. It is obtained by performing a sampling operation in both time and frequency domains. Which of the above statements is/are correct? Correct Answer 2 and 3 only

  • Discrete fourier trans form (DFT) is fourier transform of “sampled signal repeated periodically”.
  • X(t) is smapled and then peridically repeated, its corresponding spectrum is also sampled.
  • It is obtained by performing a sampling operation in both time and frequency domains.

Related Questions

{a(n)} is a real-valued periodic sequence with a period N. x(n) and X(k) form N-point Discrete Fourier Transform (DFT) pairs. The DFT Y(k) of the sequence
$$y\left( n \right) = \frac{1}{N}\sum\limits_{r = 0}^{N - 1} {x\left( r \right)} x\left( {n + r} \right)$$      is
The 4-point discrete Fourier Transform (DFT) of a discrete time sequence {1, 0, 2, 3} is