Mathematics of Signal Representations

Assignment 5, due Wednesday, April 1

• Exercises 1.4: 29. (Recall Parseval's theorem for Fourier series.)
  
• Exercises 2.6: 1 and 2.
  
• Use the Fourier transform of the function f(t)=e^-|t| derived in class and the properties of the Fourier transform on page 113 (without proving) to compute the Fourier transforms of
  1. f(t)=t²e^-|t| and
  2. f(t)=e^-|t-2|.