Properties of FT and DTFT

February 2, 2019 by 3200 Creative

Properties of FT and DTFT

Question 1 of 2

1. Question
Select all of the following statements that are true of the Fourier transform (FT).
- The FT of the convolution of two signals is the sum of their individual FTs.
- The FT of the product of two signals may be obtained from the convolution of their individual FTs.
- The magnitude of the FT does not change when the signal is delayed in time.
- The FT of a periodic signal can be determined using only the period of the signal and the Fourier series coefficients.
Correct

Incorrect
Question 2 of 2

2. Question
Select all of the following statements that are true of the discrete-time Fourier transform (DTFT).
- The DTFT of the product of two signals is the product of the DTFTs of each signal.
- Introduction of a linear phase shift $-4\omega$ into the DTFT implies the signal has been delayed by four samples in time.
- The product of the DTFTs of two signals corresponds to the convolution of the time signals.
- The DTFT of the product of two signals is the sum of the individual DTFTs.
Correct

Incorrect