DSP QUIZ 1.2

Knowledge: What is the purpose of the discrete Fourier transform (DFT)?

• To approximate continuous signals
• To transform continuous signals into discrete signals
• To analyze the frequency content of signals
• To synthesize signals from frequency content

Comprehension: What is the relationship between the DFT and the continuous Fourier transform (FT)?

• The DFT is a simplified version of the FT
• The DFT is equivalent to the FT
• The DFT is a more advanced version of the FT
• There is no relationship between the DFT and the FT

Application: How is the DFT implemented in practice?

• By using a look-up table
• By using the inverse DFT
• By using the fast Fourier transform (FFT) algorithm
• By using a brute-force approach

Analysis: What are the benefits of using the DFT for signal analysis?

• It allows for the analysis of signals in the frequency domain
• It provides a way to reconstruct signals from their frequency content
• It is a fast and efficient algorithm
• All of the above

Synthesis: How can the DFT be used to synthesize signals?

• By using the inverse DFT
• By using a look-up table
• By using the fast Fourier transform (FFT) algorithm
• By using a brute-force approach

Knowledge: What is the relationship between the input sequence and its DFT?

• The DFT is the same as the input sequence
• The DFT is a transformation of the input sequence
• The DFT is the inverse of the input sequence
• The DFT and input sequence are unrelated

Comprehension: What is the difference between the DFT and the continuous Fourier transform (FT)?

• The DFT is a simplified version of the FT
• The DFT and FT are equivalent
• The DFT is a more advanced version of the FT
• There is no difference between the DFT and the FT

Application: How is the DFT used in practical applications?

• For synthesizing signals
• For transforming signals from the time domain to the frequency domain
• For filtering signals
• For all of the above

Analysis: What are the limitations of the DFT when used for signal analysis?

• It can only be used for analyzing discrete signals
• It is limited to signals with a finite duration
• It does not provide information about phase information
• All of the above