The Fourier Transform Lab
· Read Chapters 5 and section 8.2.5 in the text Signals and Systems Using MATLAB.
· Download and review the supplemental questions.
· Work the below five homework problems.
· Submit homework solutions via Assignment Upload Tool. Show all work for full credit.
1. A continuous time signal x(t) has the Fourier transform where b is a constant. Determine the Fourier transform for
.
2. A continuous time signal x(t) has the Fourier transform where b is a constant. Determine the Fourier transform for
3. Compute the Fourier transform for
4. Compute the inverse Fourier transform for
5. A signal with the highest frequency component at 10 kHz is to be sampled. To reconstruct the signal, the sampling must be done at a minimum frequency of?