10/01 - Vectors & Functions

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Vectors & Functions

  • How to related the vector v to the sampling?

We could sample a continuous function every T seconds, creating a "bar graph".

  • Where is a rectangle 1 unit high and T units wide

In an effort to make this more exact, will will continue to shrink the rectangle down to the Dirac Delta function,

By using the Dirac Delta function the summation becomes an integral

Changing from one orthogonal Basis Functions to another

If you have a vector and wish to change it to

  • Switches from a_j to b_j in the notes?

Define

  • Why?
  • How did you get the last two lines of the last page?