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?

**PLEASE SEE ATTACHMENT**