ELEC 320

Prof. Rich Kozick

Fall, 1998

Prof. Rich Kozick

Fall, 1998

**Date Assigned:** Wednesday, October 14, 1998

**Date Due:** Friday, October 16, 1998

**Reading:**
Sections 4.1 and 4.2 in the text on Fourier Series.

- 1.
- Please experiment with the
Simulink demonstration
of Fourier series that we used in class.
You can access the demonstration from the course home page
under
`Class Notes and Demonstrations`. You do not have to submit anything for this part. - 2.
- In the Simulink demonstration
`fsgen.mdl`, the three individual sine waves that are added together are Compute the ``inner products'' of pairs of these sine waves over the interval [0, 1]. That is, compute the following integrals:Some useful identities:

You may find it useful to sketch the integrand in each case. - 3.
- What does it mean geometrically when two
*vectors*have an inner product of zero? Draw a picture of this situation in two dimensions.