Discrete Fourier Transform Basics
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Questions and Answers

What is the frequency resolution in the Discrete Fourier Transform (DFT)?

  • $\frac{N}{2}$
  • $N^2$
  • $\frac{2}{N}$ (correct)
  • $\frac{1}{2}$

    • How many discrete values does the DFT yield for the Fourier transform?

  • $2$
  • $N$
  • $2N$
  • $\frac{N}{2}$ (correct)

    • What is the time complexity of directly computing the DFT algorithm?

  • $O(N)$
  • $O(2^N)$
  • $O(1)$
  • $O(N^2)$ (correct)

    • Which algorithm, widely available in mathematical packages like Matlab and Labview, was developed as a fast method for computing the DFT?

    <p>Fast Fourier Transform (FFT)</p> Signup and view all the answers

    In what form is the function y(t) likely to be measured and recorded in real applications of measurement?

    <p>Discrete time or digital signal</p> Signup and view all the answers

    What does the Discrete Fourier Transform (DFT) assume about the data set?

    <p>It is one-sided, extending from 0 to $t_f$</p> Signup and view all the answers

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