DSP QUIZ 1.3

Knowledge: What is the property of the DFT that states that it is periodic with period N?

• Periodicity
• Symmetry
• Linearity
• Orthogonality

Comprehension: What is the relationship between the DFT and its inverse for real signals?

• The DFT and its inverse are the same for real signals
• The DFT and its inverse are complex conjugates for real signals
• The DFT and its inverse are completely different for real signals
• The DFT and its inverse have no relationship for real signals

Application: What is the property of the DFT that states that it is symmetric about the Nyquist frequency?

• Symmetry
• Periodicity
• Orthogonality
• Linearity

Analysis: How does the periodicity of the DFT affect its use in signal analysis?

• It makes it easier to analyze signals
• It makes it more difficult to analyze signals
• It has no effect on signal analysis
• It makes it only possible to analyze signals with period N

Synthesis: How can the periodicity of the DFT be leveraged in signal processing applications?

• By using it to wrap signals that are longer than N
• By using it to wrap signals that are shorter than N
• By using it to wrap signals that have a period greater than N
• By using it to wrap signals that have a period less than N

Knowledge: What is the property of the DFT that states that it is periodic with period N?

• Symmetry
• Orthogonality
• Linearity
• Periodicity

Comprehension: What is the relationship between the DFT and its inverse for real signals?

• The DFT and its inverse are the same for real signals
• The DFT and its inverse are completely different for real signals
• The DFT and its inverse have no relationship for real signals
• The DFT and its inverse are complex conjugates for real signals

Application: What is the property of the DFT that states that it is symmetric about the Nyquist frequency?

• Orthogonality
• Linearity
• Symmetry
• Periodicity

Analysis: How does the periodicity of the DFT affect its use in signal analysis?

• It makes it more difficult to analyze signals
• It has no effect on signal analysis
• It makes it easier to analyze signals
• It makes it only possible to analyze signals with period N

Synthesis: How can the periodicity of the DFT be leveraged in signal processing applications?

• By using it to wrap signals that are shorter than N
• By using it to wrap signals that have a period greater than N
• By using it to wrap signals that are longer than N
• By using it to wrap signals that have a period less than N