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) (D)</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 (C)</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 $t_f$ (C)</p> Signup and view all the answers

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