ECE 280/Fall 2023/20241006

• Read Section 3.0
• Read Section 3.1
• Read Section 3.2, focusing on the continuous-time items (H(s)) versus the discrete-time items (H(z))
• Read Section 3.3
  • Pay special attention to Example 3.2 which uses the Euler relation to convert trig to complex exponentials
  • Pay special attention to the steps in 3.,3.2 for finding the Fourier Series coefficients of a periodic signal
  • Start working on memorizing Equations 3.38 and 3.39 -- the good news is that equations very similar to these will be used for Fourier Transforms, Laplace Transforms, and z Transforms later so putting in the work now will pay off later.
  • Note that Examples 3.3 and 3.4 are great for pure trig signals - you will use Euler to get the coefficients
  • Example 3.5 is great for a periodic signal other than pure trig - you will use Equation 3.39 to get the coefficients
• Skim Section 3.4
  • To have a Fourier Series representation, a signal needs to be periodic, absolutely integrable over one period, have a finite number of local max and min per period, and have a finite number of discontinuities per period. The good news is those latter three conditions will always be met by signals we can generate in lab!
• We will have a recap of this and start Section 3.5 on Monday!